Analysis of a diffusive predator-prey system with anti-predator behaviour and maturation delay
•A diffusive predator-prey system with anti-predator behaviour and maturation delay is considered.•The global stability of boundary equilibrium is studied.•The local stability and Turing instability of coexisting equilibrium are obtained.•The Hopf bifurcation at coexisting equilibrium is studied. Th...
Saved in:
| Published in | Chaos, solitons and fractals Vol. 109; pp. 128 - 139 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.04.2018
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0960-0779 1873-2887 |
| DOI | 10.1016/j.chaos.2018.02.006 |
Cover
Loading…
| Abstract | •A diffusive predator-prey system with anti-predator behaviour and maturation delay is considered.•The global stability of boundary equilibrium is studied.•The local stability and Turing instability of coexisting equilibrium are obtained.•The Hopf bifurcation at coexisting equilibrium is studied.
The dynamics of a diffusive predator-prey system with anti-predator behaviour and maturation delay subject to Neumann boundary condition is investigated in this paper. The global stability of boundary equilibrium is studied. For coexisting equilibrium, Turing instability induced by diffusion and Hopf bifurcation induced by time delay are studied. By the theory of normal form and center manifold method, the conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived. |
|---|---|
| AbstractList | •A diffusive predator-prey system with anti-predator behaviour and maturation delay is considered.•The global stability of boundary equilibrium is studied.•The local stability and Turing instability of coexisting equilibrium are obtained.•The Hopf bifurcation at coexisting equilibrium is studied.
The dynamics of a diffusive predator-prey system with anti-predator behaviour and maturation delay subject to Neumann boundary condition is investigated in this paper. The global stability of boundary equilibrium is studied. For coexisting equilibrium, Turing instability induced by diffusion and Hopf bifurcation induced by time delay are studied. By the theory of normal form and center manifold method, the conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived. |
| Author | Yang, Ruizhi Ma, Jian |
| Author_xml | – sequence: 1 givenname: Ruizhi surname: Yang fullname: Yang, Ruizhi – sequence: 2 givenname: Jian surname: Ma fullname: Ma, Jian email: mj@nefu.edu.cn |
| BookMark | eNqFkM9uwjAMh6OJSQO2J9glL9DOaUrbHHZAaP8kpF04L3ITVwRBi5LA1Ldfge2yw3ay5Z8-y_4mbNR2LTF2LyAVIIqHTWrW2IU0A1GlkKUAxRUbi6qUSVZV5YiNQRWQQFmqGzYJYQMAAopszD7mLW774ALvGo7cuqY5BHckvvdkMXY-GZqehz5E2vFPF9cc2-iSn5jXtMaj6w5-mFu-w3jwGF3Xcktb7G_ZdYPbQHffdcpWz0-rxWuyfH95W8yXiZEgY0JY5abCShopoc5LZazFoq4BMkmqqZXNoRZEM5XN5MwoIWuQqsLGyjzLUU6ZvKw1vgvBU6P33u3Q91qAPhnSG302pE-GNGR6MDRQ6hdlXDwfHz267T_s44Wl4aujI6-DcdQass6Tidp27k_-Czneh3c |
| CitedBy_id | crossref_primary_10_3390_math10183270 crossref_primary_10_1142_S0218127420500376 crossref_primary_10_1007_s12190_020_01373_0 crossref_primary_10_1049_tje2_12024 crossref_primary_10_3390_math11030556 crossref_primary_10_1016_j_chaos_2020_110597 crossref_primary_10_1142_S0218339022500322 crossref_primary_10_1142_S2811007223500086 crossref_primary_10_1007_s12190_021_01615_9 crossref_primary_10_11948_20200212 crossref_primary_10_1016_j_chaos_2019_04_012 crossref_primary_10_1002_mma_8896 crossref_primary_10_1002_mma_10416 crossref_primary_10_1007_s11071_019_04883_0 crossref_primary_10_3934_mbe_2023197 crossref_primary_10_1186_s13662_020_02808_5 crossref_primary_10_1186_s13662_020_02814_7 crossref_primary_10_1142_S0218127419501529 crossref_primary_10_1016_j_matcom_2024_05_004 crossref_primary_10_1140_epjp_s13360_023_04243_3 crossref_primary_10_1016_j_rinp_2020_103424 |
| Cites_doi | 10.1016/j.jde.2008.10.024 10.1142/S1793524517501194 10.1016/S0362-546X(00)00189-9 10.1051/mmnp/201611508 10.1890/0012-9658(2003)084[1827:HPRTCP]2.0.CO;2 10.1146/annurev.es.20.110189.001501 10.1016/j.amc.2011.06.071 10.1038/s41598-017-00112-z 10.1890/0012-9658(2001)082[3083:FRWPIV]2.0.CO;2 10.1007/s11538-016-0147-3 10.1016/j.jmaa.2014.09.037 10.1142/S1793524517500796 10.1016/j.jtbi.2007.05.005 10.1093/imammb/dqq010 10.1080/00036811.2015.1007346 10.1016/j.cnsns.2013.11.020 10.1890/0012-9658(2001)082[0245:PRPRAD]2.0.CO;2 10.1016/S0065-3454(08)60366-6 10.1016/j.amc.2011.02.018 10.1029/2008GB003405 10.2307/3866 10.2307/1467324 10.1016/j.chaos.2015.12.008 10.1016/j.amc.2014.12.143 10.1142/S1793524517500401 10.1016/j.jde.2011.03.004 10.1038/2231133a0 10.1142/S1793524517500322 10.1016/j.chaos.2014.11.008 10.1016/j.chaos.2016.07.003 10.1371/journal.pone.0066765 |
| ContentType | Journal Article |
| Copyright | 2018 Elsevier Ltd |
| Copyright_xml | – notice: 2018 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.chaos.2018.02.006 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Sciences (General) Mathematics |
| EISSN | 1873-2887 |
| EndPage | 139 |
| ExternalDocumentID | 10_1016_j_chaos_2018_02_006 S096007791830050X |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 29B 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABMAC ABNEU ABTAH ABXDB ABYKQ ACDAQ ACFVG ACGFS ACNNM ACRLP ADBBV ADEZE ADMUD AEBSH AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BBWZM BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA HLZ HMV HVGLF HZ~ IHE J1W KOM LG9 M38 M41 MO0 N9A NDZJH O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SBC SDF SDG SDP SES SEW SPC SPCBC SPD SPG SSQ SSZ T5K WUQ XPP ZY4 ~G- AATTM AAXKI AAYWO AAYXX ABJNI ABWVN ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION SSH |
| ID | FETCH-LOGICAL-c303t-ea84c8a83c330b479cdda6bb0023e9fb9d40b1ee592535c913b0398afd3424a3 |
| IEDL.DBID | AIKHN |
| ISSN | 0960-0779 |
| IngestDate | Thu Apr 24 22:54:59 EDT 2025 Tue Jul 01 00:41:27 EDT 2025 Fri Feb 23 02:18:24 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Hopf bifurcation Predator-prey Turing instability Delay |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c303t-ea84c8a83c330b479cdda6bb0023e9fb9d40b1ee592535c913b0398afd3424a3 |
| PageCount | 12 |
| ParticipantIDs | crossref_primary_10_1016_j_chaos_2018_02_006 crossref_citationtrail_10_1016_j_chaos_2018_02_006 elsevier_sciencedirect_doi_10_1016_j_chaos_2018_02_006 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | April 2018 2018-04-00 |
| PublicationDateYYYYMMDD | 2018-04-01 |
| PublicationDate_xml | – month: 04 year: 2018 text: April 2018 |
| PublicationDecade | 2010 |
| PublicationTitle | Chaos, solitons and fractals |
| PublicationYear | 2018 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Beddington (bib0020) 1975; 44 Crowley, Martin (bib0021) 1989; 8 Yuan, Jiang, Wang (bib0029) 2015; 422 Zhao, Tian, Wei (bib0033) 2016; 78 Morozov, Arashkevich, Nikishina (bib0006) 2011; 28 Lima (bib0012) 1998; 27 Wu (bib0035) 1996 Denaro, Valenti, Spagnolo (bib0008) 2013; 8 Ghorai, Poria (bib0003) 2016; 91 Wang, Shi, Wei (bib0005) 2011; 251 Dutkiewicz, Follows, Bragg (bib0004) 2009; 23 Bairagi, Roy, Chattopadhyay (bib0018) 2007; 248 Hassell, Varley (bib0022) 1969; 223 Polis, And, Holt (bib0015) 1989; 20 Yasuyuki, Maira, Sabelis (bib0014) 2012; 2 Valenti, Denaro, Giarratana (bib0002) 2016; 11 Aly, Kim, Sheen (bib0025) 2009; 217 Yang (bib0028) 2017; 10 Anderson (bib0017) 2001; 82 Zhang, Li, Yan (bib0027) 2011; 218 Yuan, Wang, Jiang (bib0011) 2016; 95 Pao (bib0034) 2002; 48 Relyea (bib0013) 2003; 84 Liu, Jiang (bib0030) 2016; 10 Valenti, Denaro, Ferreri (bib0009) 2017; 7 Jana, Pathak (bib0010) 2016; 83 Dianli, Sanling (bib0032) 2017; 10 Jiang, Song (bib0031) 2014; 19 Tang, Xiao (bib0016) 2015; 70 Sivakumar, Balachandran, Karuppiah (bib0026) 2017; 10 Holling (bib0019) 1965; 97 Hassard, Kazarinoff, Wan (bib0036) 1981 Yuan, Jiang, Wang (bib0007) 2015; 422 Skalski, Gilliam (bib0023) 2001; 82 Tang, Song (bib0024) 2015; 254 Yi, Wei, Shi (bib0001) 2009; 246 Valenti (10.1016/j.chaos.2018.02.006_bib0009) 2017; 7 Yuan (10.1016/j.chaos.2018.02.006_bib0007) 2015; 422 Beddington (10.1016/j.chaos.2018.02.006_bib0020) 1975; 44 Lima (10.1016/j.chaos.2018.02.006_bib0012) 1998; 27 Relyea (10.1016/j.chaos.2018.02.006_bib0013) 2003; 84 Bairagi (10.1016/j.chaos.2018.02.006_bib0018) 2007; 248 Ghorai (10.1016/j.chaos.2018.02.006_bib0003) 2016; 91 Jana (10.1016/j.chaos.2018.02.006_bib0010) 2016; 83 Wang (10.1016/j.chaos.2018.02.006_bib0005) 2011; 251 Crowley (10.1016/j.chaos.2018.02.006_bib0021) 1989; 8 Denaro (10.1016/j.chaos.2018.02.006_bib0008) 2013; 8 Hassard (10.1016/j.chaos.2018.02.006_bib0036) 1981 Yi (10.1016/j.chaos.2018.02.006_bib0001) 2009; 246 Hassell (10.1016/j.chaos.2018.02.006_bib0022) 1969; 223 Yuan (10.1016/j.chaos.2018.02.006_bib0029) 2015; 422 Yuan (10.1016/j.chaos.2018.02.006_bib0011) 2016; 95 Yasuyuki (10.1016/j.chaos.2018.02.006_bib0014) 2012; 2 Polis (10.1016/j.chaos.2018.02.006_bib0015) 1989; 20 Zhao (10.1016/j.chaos.2018.02.006_bib0033) 2016; 78 Skalski (10.1016/j.chaos.2018.02.006_bib0023) 2001; 82 Holling (10.1016/j.chaos.2018.02.006_bib0019) 1965; 97 Aly (10.1016/j.chaos.2018.02.006_bib0025) 2009; 217 Dianli (10.1016/j.chaos.2018.02.006_bib0032) 2017; 10 Sivakumar (10.1016/j.chaos.2018.02.006_bib0026) 2017; 10 Dutkiewicz (10.1016/j.chaos.2018.02.006_sbref0004) 2009; 23 Tang (10.1016/j.chaos.2018.02.006_bib0024) 2015; 254 Zhang (10.1016/j.chaos.2018.02.006_bib0027) 2011; 218 Tang (10.1016/j.chaos.2018.02.006_bib0016) 2015; 70 Wu (10.1016/j.chaos.2018.02.006_bib0035) 1996 Jiang (10.1016/j.chaos.2018.02.006_bib0031) 2014; 19 Yang (10.1016/j.chaos.2018.02.006_bib0028) 2017; 10 Morozov (10.1016/j.chaos.2018.02.006_bib0006) 2011; 28 Anderson (10.1016/j.chaos.2018.02.006_bib0017) 2001; 82 Liu (10.1016/j.chaos.2018.02.006_bib0030) 2016; 10 Pao (10.1016/j.chaos.2018.02.006_bib0034) 2002; 48 Valenti (10.1016/j.chaos.2018.02.006_bib0002) 2016; 11 |
| References_xml | – volume: 8 start-page: 211 year: 1989 end-page: 221 ident: bib0021 article-title: Functional responses and interference within and between year classes of a dragonfly population publication-title: J North Am Benthol Soc – volume: 254 start-page: 375 year: 2015 end-page: 391 ident: bib0024 article-title: Stability, hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior publication-title: Appl Math Comput – year: 1981 ident: bib0036 article-title: Theory and applications of Hopf bifurcation – volume: 44 start-page: 331 year: 1975 end-page: 340 ident: bib0020 article-title: Mutual interference between parasites or predators and its effect on searching efficiency publication-title: J Anim Ecol – volume: 218 start-page: 1883 year: 2011 end-page: 1893 ident: bib0027 article-title: Hopf bifurcation and turing instability in spatial homogeneous and inhomogeneous predator-prey models publication-title: Appl Math Comput – volume: 78 start-page: 381 year: 2016 end-page: 412 ident: bib0033 article-title: Minimal model of plankton systems revisited with spatial diffusion and maturation delay publication-title: Bull Math Biol – volume: 11 year: 2016 ident: bib0002 article-title: Modeling of sensory characteristics based on the growth of food spoilage bacteria publication-title: Math Model Nat Phenom – volume: 251 start-page: 1276 year: 2011 end-page: 1304 ident: bib0005 article-title: Dynamics and pattern formation in a difusive predator-prey system with strong allee efect in prey publication-title: J Differ Equ – volume: 7 start-page: 220 year: 2017 ident: bib0009 article-title: Spatio-temporal dynamics of a planktonic system and chlorophyll distribution in a 2d spatial domain: matching model and data publication-title: Sci Rep – volume: 70 start-page: 58 year: 2015 end-page: 68 ident: bib0016 article-title: Bifurcation analysis of a predator-prey model with anti-predator behaviour publication-title: Chaos Solitons Fractals – volume: 27 start-page: 215 year: 1998 end-page: 290 ident: bib0012 article-title: Stress and decision making under the risk of predation: recent developments from behavioral, reproductive, and ecological perspectives publication-title: Adv Study Behav – volume: 19 start-page: 2454 year: 2014 end-page: 2465 ident: bib0031 article-title: Delay-induced bogdanov-takens bifurcation in a leslie-gower predator-prey model with nonmonotonic functional response publication-title: Commun Nonlinear Sci Numer Simul – volume: 48 start-page: 349 year: 2002 end-page: 362 ident: bib0034 article-title: Convergence of solutions of reaction-diffusion systems with time delays publication-title: Nonlinear Anal – volume: 422 start-page: 1072 year: 2015 end-page: 1090 ident: bib0007 article-title: Saddle-node-hopf bifurcation in a modified leslie-gower predator-prey model with time-delay and prey harvesting publication-title: J Math Anal Appl – volume: 246 start-page: 1944 year: 2009 end-page: 1977 ident: bib0001 article-title: Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system publication-title: J Differ Equ – volume: 20 start-page: 297 year: 1989 end-page: 330 ident: bib0015 article-title: The ecology and evolution of intraguild predation: potential competitors that eat each other publication-title: Ann Rev Ecol System – volume: 84 start-page: 1827 year: 2003 end-page: 1839 ident: bib0013 article-title: How prey respond to combined predators: a review and an empirical test publication-title: Ecology – volume: 82 start-page: 3083 year: 2001 end-page: 3092 ident: bib0023 article-title: Functional responses with predator interference: viable alternatives to the holling type II model publication-title: Ecology – volume: 422 start-page: 1072 year: 2015 end-page: 1090 ident: bib0029 article-title: Saddle-node-hopf bifurcation in a modified leslie-gower predator-prey model with time-delay and prey harvesting publication-title: J Math Anal Appl – volume: 95 start-page: 1 year: 2016 end-page: 23 ident: bib0011 article-title: Global hopf bifurcation of a delayed diffusive predator-prey model with michaelis-menten-type prey harvesting publication-title: Appl Anal – volume: 10 start-page: 1750119 year: 2017 ident: bib0028 article-title: Dynamical behaviors of a diffusive predator-prey model with beddington-deangelis functional response and disease in the prey publication-title: Int J Biomath – volume: 28 start-page: 185 year: 2011 end-page: 215 ident: bib0006 article-title: Nutrient-rich plankton communities stabilized via predator-prey interactions: revisiting the role of vertical heterogeneity publication-title: Math Med Biol J IMA – volume: 82 start-page: 245 year: 2001 end-page: 257 ident: bib0017 article-title: Predator responses, prey refuges, and density-dependent mortality of a marine fish publication-title: Ecology – volume: 97 start-page: 1 year: 1965 end-page: 60 ident: bib0019 article-title: The functional response of predators to prey density and its role in mimicry and population dynamics publication-title: Mementomolsoccan – volume: 91 start-page: 421 year: 2016 end-page: 429 ident: bib0003 article-title: Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity publication-title: Chaos Solitons Fractals – year: 1996 ident: bib0035 article-title: Theory and applications of partial functional differential equations – volume: 83 start-page: 252 year: 2016 end-page: 273 ident: bib0010 article-title: Agarwal m. on the stability and hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting publication-title: Chaos Solitons Fractals – volume: 223 start-page: 1133 year: 1969 end-page: 1137 ident: bib0022 article-title: New inductive population model for insect parasites and its bearing on biological control publication-title: Nature – volume: 8 start-page: e66765 year: 2013 ident: bib0008 article-title: Dynamics of two picophytoplankton groups in mediterranean sea: analysis of the deep chlorophyll maximum by a stochastic advection-reaction-diffusion model publication-title: Plos One – volume: 2 start-page: 728 year: 2012 ident: bib0014 article-title: Predator-prey role reversals, juvenile experience and adult antipredator behaviour publication-title: Sci Rep – volume: 23 year: 2009 ident: bib0004 article-title: Modeling the coupling of ocean ecology and biogeochemistry publication-title: Global Biogeochem Cycles – volume: 217 start-page: 7265 year: 2009 end-page: 7281 ident: bib0025 article-title: Turing instability for a ratio-dependent predator-prey model with diffusion publication-title: Appl Math Comput – volume: 10 start-page: 1750079 year: 2017 ident: bib0026 article-title: Bifurcation and spatiotemporal patterns of a density-dependent predator-prey model with crowley-martin functional response publication-title: Int J Biomath – volume: 10 start-page: 1750032 year: 2016 ident: bib0030 article-title: Modeling and analysis of a predator-prey system with time delay publication-title: Int J Biomath – volume: 10 start-page: 1750040 year: 2017 ident: bib0032 article-title: Dynamics of delayed stochastic predator-prey models with feedback controls based on discrete observations publication-title: Int J Biomath – volume: 248 start-page: 10 year: 2007 end-page: 25 ident: bib0018 article-title: Role of infection on the stability of a predator-prey system with several response functions-a comparative study publication-title: J Theor Biol – volume: 246 start-page: 1944 issue: 5 year: 2009 ident: 10.1016/j.chaos.2018.02.006_bib0001 article-title: Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system publication-title: J Differ Equ doi: 10.1016/j.jde.2008.10.024 – volume: 10 start-page: 1750119 issue: 08 year: 2017 ident: 10.1016/j.chaos.2018.02.006_bib0028 article-title: Dynamical behaviors of a diffusive predator-prey model with beddington-deangelis functional response and disease in the prey publication-title: Int J Biomath doi: 10.1142/S1793524517501194 – volume: 48 start-page: 349 issue: 3 year: 2002 ident: 10.1016/j.chaos.2018.02.006_bib0034 article-title: Convergence of solutions of reaction-diffusion systems with time delays publication-title: Nonlinear Anal doi: 10.1016/S0362-546X(00)00189-9 – volume: 11 issue: 5 year: 2016 ident: 10.1016/j.chaos.2018.02.006_bib0002 article-title: Modeling of sensory characteristics based on the growth of food spoilage bacteria publication-title: Math Model Nat Phenom doi: 10.1051/mmnp/201611508 – volume: 84 start-page: 1827 issue: 7 year: 2003 ident: 10.1016/j.chaos.2018.02.006_bib0013 article-title: How prey respond to combined predators: a review and an empirical test publication-title: Ecology doi: 10.1890/0012-9658(2003)084[1827:HPRTCP]2.0.CO;2 – volume: 20 start-page: 297 issue: 1 year: 1989 ident: 10.1016/j.chaos.2018.02.006_bib0015 article-title: The ecology and evolution of intraguild predation: potential competitors that eat each other publication-title: Ann Rev Ecol System doi: 10.1146/annurev.es.20.110189.001501 – volume: 97 start-page: 1 issue: 45 year: 1965 ident: 10.1016/j.chaos.2018.02.006_bib0019 article-title: The functional response of predators to prey density and its role in mimicry and population dynamics publication-title: Mementomolsoccan – volume: 218 start-page: 1883 issue: 5 year: 2011 ident: 10.1016/j.chaos.2018.02.006_bib0027 article-title: Hopf bifurcation and turing instability in spatial homogeneous and inhomogeneous predator-prey models publication-title: Appl Math Comput doi: 10.1016/j.amc.2011.06.071 – volume: 7 start-page: 220 issue: 1 year: 2017 ident: 10.1016/j.chaos.2018.02.006_bib0009 article-title: Spatio-temporal dynamics of a planktonic system and chlorophyll distribution in a 2d spatial domain: matching model and data publication-title: Sci Rep doi: 10.1038/s41598-017-00112-z – volume: 2 start-page: 728 issue: 10 year: 2012 ident: 10.1016/j.chaos.2018.02.006_bib0014 article-title: Predator-prey role reversals, juvenile experience and adult antipredator behaviour publication-title: Sci Rep – volume: 82 start-page: 3083 issue: 11 year: 2001 ident: 10.1016/j.chaos.2018.02.006_bib0023 article-title: Functional responses with predator interference: viable alternatives to the holling type II model publication-title: Ecology doi: 10.1890/0012-9658(2001)082[3083:FRWPIV]2.0.CO;2 – volume: 78 start-page: 381 issue: 3 year: 2016 ident: 10.1016/j.chaos.2018.02.006_bib0033 article-title: Minimal model of plankton systems revisited with spatial diffusion and maturation delay publication-title: Bull Math Biol doi: 10.1007/s11538-016-0147-3 – volume: 422 start-page: 1072 issue: 2 year: 2015 ident: 10.1016/j.chaos.2018.02.006_bib0007 article-title: Saddle-node-hopf bifurcation in a modified leslie-gower predator-prey model with time-delay and prey harvesting publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2014.09.037 – volume: 10 start-page: 1750079 year: 2017 ident: 10.1016/j.chaos.2018.02.006_bib0026 article-title: Bifurcation and spatiotemporal patterns of a density-dependent predator-prey model with crowley-martin functional response publication-title: Int J Biomath doi: 10.1142/S1793524517500796 – volume: 248 start-page: 10 issue: 1 year: 2007 ident: 10.1016/j.chaos.2018.02.006_bib0018 article-title: Role of infection on the stability of a predator-prey system with several response functions-a comparative study publication-title: J Theor Biol doi: 10.1016/j.jtbi.2007.05.005 – volume: 28 start-page: 185 issue: 2 year: 2011 ident: 10.1016/j.chaos.2018.02.006_bib0006 article-title: Nutrient-rich plankton communities stabilized via predator-prey interactions: revisiting the role of vertical heterogeneity publication-title: Math Med Biol J IMA doi: 10.1093/imammb/dqq010 – year: 1996 ident: 10.1016/j.chaos.2018.02.006_bib0035 – volume: 95 start-page: 1 issue: 2 year: 2016 ident: 10.1016/j.chaos.2018.02.006_bib0011 article-title: Global hopf bifurcation of a delayed diffusive predator-prey model with michaelis-menten-type prey harvesting publication-title: Appl Anal doi: 10.1080/00036811.2015.1007346 – volume: 19 start-page: 2454 issue: 7 year: 2014 ident: 10.1016/j.chaos.2018.02.006_bib0031 article-title: Delay-induced bogdanov-takens bifurcation in a leslie-gower predator-prey model with nonmonotonic functional response publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2013.11.020 – volume: 82 start-page: 245 issue: 1 year: 2001 ident: 10.1016/j.chaos.2018.02.006_bib0017 article-title: Predator responses, prey refuges, and density-dependent mortality of a marine fish publication-title: Ecology doi: 10.1890/0012-9658(2001)082[0245:PRPRAD]2.0.CO;2 – volume: 27 start-page: 215 issue: 08 year: 1998 ident: 10.1016/j.chaos.2018.02.006_bib0012 article-title: Stress and decision making under the risk of predation: recent developments from behavioral, reproductive, and ecological perspectives publication-title: Adv Study Behav doi: 10.1016/S0065-3454(08)60366-6 – volume: 217 start-page: 7265 issue: 17 year: 2009 ident: 10.1016/j.chaos.2018.02.006_bib0025 article-title: Turing instability for a ratio-dependent predator-prey model with diffusion publication-title: Appl Math Comput doi: 10.1016/j.amc.2011.02.018 – year: 1981 ident: 10.1016/j.chaos.2018.02.006_bib0036 – volume: 23 issue: 4 year: 2009 ident: 10.1016/j.chaos.2018.02.006_sbref0004 article-title: Modeling the coupling of ocean ecology and biogeochemistry publication-title: Global Biogeochem Cycles doi: 10.1029/2008GB003405 – volume: 44 start-page: 331 issue: 1 year: 1975 ident: 10.1016/j.chaos.2018.02.006_bib0020 article-title: Mutual interference between parasites or predators and its effect on searching efficiency publication-title: J Anim Ecol doi: 10.2307/3866 – volume: 8 start-page: 211 issue: 3 year: 1989 ident: 10.1016/j.chaos.2018.02.006_bib0021 article-title: Functional responses and interference within and between year classes of a dragonfly population publication-title: J North Am Benthol Soc doi: 10.2307/1467324 – volume: 83 start-page: 252 issue: 83 year: 2016 ident: 10.1016/j.chaos.2018.02.006_bib0010 article-title: Agarwal m. on the stability and hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2015.12.008 – volume: 254 start-page: 375 year: 2015 ident: 10.1016/j.chaos.2018.02.006_bib0024 article-title: Stability, hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior publication-title: Appl Math Comput doi: 10.1016/j.amc.2014.12.143 – volume: 10 start-page: 1750040 issue: 03 year: 2017 ident: 10.1016/j.chaos.2018.02.006_bib0032 article-title: Dynamics of delayed stochastic predator-prey models with feedback controls based on discrete observations publication-title: Int J Biomath doi: 10.1142/S1793524517500401 – volume: 251 start-page: 1276 year: 2011 ident: 10.1016/j.chaos.2018.02.006_bib0005 article-title: Dynamics and pattern formation in a difusive predator-prey system with strong allee efect in prey publication-title: J Differ Equ doi: 10.1016/j.jde.2011.03.004 – volume: 223 start-page: 1133 issue: 5211 year: 1969 ident: 10.1016/j.chaos.2018.02.006_bib0022 article-title: New inductive population model for insect parasites and its bearing on biological control publication-title: Nature doi: 10.1038/2231133a0 – volume: 10 start-page: 1750032 issue: 03 year: 2016 ident: 10.1016/j.chaos.2018.02.006_bib0030 article-title: Modeling and analysis of a predator-prey system with time delay publication-title: Int J Biomath doi: 10.1142/S1793524517500322 – volume: 70 start-page: 58 issue: 1 year: 2015 ident: 10.1016/j.chaos.2018.02.006_bib0016 article-title: Bifurcation analysis of a predator-prey model with anti-predator behaviour publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2014.11.008 – volume: 422 start-page: 1072 issue: 2 year: 2015 ident: 10.1016/j.chaos.2018.02.006_bib0029 article-title: Saddle-node-hopf bifurcation in a modified leslie-gower predator-prey model with time-delay and prey harvesting publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2014.09.037 – volume: 91 start-page: 421 year: 2016 ident: 10.1016/j.chaos.2018.02.006_bib0003 article-title: Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2016.07.003 – volume: 8 start-page: e66765 issue: 6 year: 2013 ident: 10.1016/j.chaos.2018.02.006_bib0008 article-title: Dynamics of two picophytoplankton groups in mediterranean sea: analysis of the deep chlorophyll maximum by a stochastic advection-reaction-diffusion model publication-title: Plos One doi: 10.1371/journal.pone.0066765 |
| SSID | ssj0001062 |
| Score | 2.364026 |
| Snippet | •A diffusive predator-prey system with anti-predator behaviour and maturation delay is considered.•The global stability of boundary equilibrium is studied.•The... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 128 |
| SubjectTerms | Delay Hopf bifurcation Predator-prey Turing instability |
| Title | Analysis of a diffusive predator-prey system with anti-predator behaviour and maturation delay |
| URI | https://dx.doi.org/10.1016/j.chaos.2018.02.006 |
| Volume | 109 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwED71scCAaAFRHpUHBpAwTWzn4bGqqAqoXShSJyI7dkURtFUfQxd-O3biVCChDmRKHJ8Ufb7c-ezzdwBXkUe0uQhWvqKYMROnCI9KrIgvAilD42Hsjm5_EPZe2OMoGJWgU5yFsWmVzvbnNj2z1q6l5dBszSeT1rOdfHtRxI1SWhaTURmqhPIwqEC1_fDUG2wNsol6ss0E0x9bgYJ8KEvzSt_EzNJ2-3HO3Rn-7aB-OJ3uIRy42SJq5x9Ug5Ke1mG_v6VaXdah5v7OJbp2FNI3R_BacI2g2RgJZKugrG2eOpovtLJhNjY3G5TTOCO7FosMwhNcvEbu9P56YdoV-rTsn9kQIksquTmGYfd-2OlhV0kBp8ZFrbAWMUtjEdOUUk-yiKdKiVBmHlvzseSKedLXOuAkoEHKfSo9ymMxVpQRJugJVKazqT4FlNI4CHlo5JnHbDAj-ThWkpqwhepI0waQAr0kdSzjttjFR1Kkk70nGeSJhTzxSGIgb8DtVmiek2zs7h4Ww5L80pXEuIFdgmf_FTyHPfuUZ-xcQGW1WOtLMxlZySaU7778plO5bylk3yQ |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwED7xGIAB8RRvPDCAhGkSOw-PqAIVaFkoUicsO3ZFEbRVaQcWfju-xCkgoQ5kimyfFJ0vvjv783cAJ2kQWfdE1ISGUc5dnqICpqmJQhVrnTgPgye6rfuk8chvO3FnDurVXRiEVfq1v1zTi9Xat9S8NmvDXq_2gMF3kKbCGSWymHTmYZHHLEVc38XnN87D5TzFUYIbTXF4RT1UgLzyZzVA0u4wK5k7k7_d0w-Xc70Gqz5WJJfl56zDnO1vwEprSrT6vgHr_t98J6eeQPpsE54qphEy6BJFsAbKBFHqZDiyBpNs6l4-SEniTHAnljj99mjVTfzd_cnItRvyhtyfxQQSpJT82IL29VW73qC-jgLNnYMaU6synmcqYzljgeapyI1RiS78tRVdLQwPdGhtLKKYxbkImQ6YyFTXMB5xxbZhoT_o2x0gOcviRCROngccUxktupnRzCUtzKaW7UJUaU_mnmMcS128ygpM9iILlUtUuQwi6VS-C-dToWFJsTF7eFJNi_xlKdI5gVmCe_8VPIalRrvVlM2b-7t9WMaeErtzAAvj0cQeurBkrI8Ks_sCCtjf7w |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Analysis+of+a+diffusive+predator-prey+system+with+anti-predator+behaviour+and+maturation+delay&rft.jtitle=Chaos%2C+solitons+and+fractals&rft.au=Yang%2C+Ruizhi&rft.au=Ma%2C+Jian&rft.date=2018-04-01&rft.issn=0960-0779&rft.volume=109&rft.spage=128&rft.epage=139&rft_id=info:doi/10.1016%2Fj.chaos.2018.02.006&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_chaos_2018_02_006 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0960-0779&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0960-0779&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0960-0779&client=summon |