Dynamics analysis and numerical simulations of a delayed stochastic epidemic model subject to a general response function
This paper proposes a new delayed stochastic epidemic model with double epidemic hypothesis and a general nonlinear response function. The main purpose is to explore the effects of environmental noise and the general nonlinear response function on stochastic dynamics. By constructing appropriate Lya...
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| Published in | Computational & applied mathematics Vol. 38; no. 2; pp. 1 - 30 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Springer International Publishing
01.06.2019
Springer Nature B.V |
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| Abstract | This paper proposes a new delayed stochastic epidemic model with double epidemic hypothesis and a general nonlinear response function. The main purpose is to explore the effects of environmental noise and the general nonlinear response function on stochastic dynamics. By constructing appropriate Lyapunov functions and using some novel differential inequality techniques, we first investigate the long-time asymptotic properties of the stochastic delayed system. Moreover, the threshold conditions for the persistence in mean are established. At last, we carry out a series of numerical simulations to illustrate the performance of the theoretical results. The developed theoretical methods and stochastic inequalities techniques can be applied to explore stochastic differential systems with the general response function. |
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| AbstractList | This paper proposes a new delayed stochastic epidemic model with double epidemic hypothesis and a general nonlinear response function. The main purpose is to explore the effects of environmental noise and the general nonlinear response function on stochastic dynamics. By constructing appropriate Lyapunov functions and using some novel differential inequality techniques, we first investigate the long-time asymptotic properties of the stochastic delayed system. Moreover, the threshold conditions for the persistence in mean are established. At last, we carry out a series of numerical simulations to illustrate the performance of the theoretical results. The developed theoretical methods and stochastic inequalities techniques can be applied to explore stochastic differential systems with the general response function. |
| ArticleNumber | 95 |
| Author | Meng, Xinzhu Zhang, Shengqiang Li, Fei |
| Author_xml | – sequence: 1 givenname: Fei surname: Li fullname: Li, Fei organization: College of Mathematics and Systems Science, Shandong University of Science and Technology – sequence: 2 givenname: Shengqiang surname: Zhang fullname: Zhang, Shengqiang organization: College of Mathematics and Systems Science, Shandong University of Science and Technology – sequence: 3 givenname: Xinzhu surname: Meng fullname: Meng, Xinzhu email: mxz721106@sdust.edu.cn organization: College of Mathematics and Systems Science, Shandong University of Science and Technology, State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology |
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| Cites_doi | 10.1002/mma.3083 10.1016/j.nonrwa.2008.10.041 10.1007/s002850050051 10.1016/j.physa.2016.10.034 10.1155/2017/4820183 10.1016/j.physa.2016.06.095 10.1186/s13662-017-1289-9 10.1016/S0893-9659(98)00123-2 10.1186/s13662-014-0342-1 10.1016/j.jmaa.2015.07.056 10.1007/s11424-015-2253-y 10.1186/s13660-017-1418-8 10.1016/S0304-4149(01)00126-0 10.1007/s11071-012-0641-6 10.1006/jdeq.2000.3882 10.1016/j.cnsns.2016.08.013 10.1016/j.cam.2016.10.017 10.1007/s11424-016-5060-1 10.1186/s13660-016-1265-z 10.1007/s11538-005-9037-9 10.1007/s00332-016-9337-2 10.1016/j.aml.2014.10.007 10.1016/j.aml.2003.11.005 10.1007/BF00276956 10.1016/j.jmaa.2015.10.047 10.1016/j.apm.2013.03.035 10.1137/10081856X 10.1186/s13662-017-1077-6 10.1016/0025-5564(78)90006-8 10.1016/j.vaccine.2006.05.018 10.1007/s11538-007-9196-y 10.1016/j.nonrwa.2007.03.010 10.1007/s10910-014-0321-5 10.1155/2018/7873902 10.1155/2015/758362 |
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| References | Korobeinikov (CR10) 2007; 69 Korobeinikov (CR9) 2006; 68 Meng, Zhao, Feng, Zhang (CR31) 2016; 433 CR39 Capasso, Serio (CR1) 1978; 42 CR14 Ma, Song, Takeuchi (CR26) 2004; 17 Zhao, Jiang (CR44) 2014; 243 Liu, Li, Zhang (CR21) 2014; 228 Zhang, Meng, Zhang (CR43) 2016; 6 Cooke, Van Den Driessche (CR3) 1996; 35 Liu, Jiang, Shi, Hayat, Alsaedi (CR23) 2017; 467 Ma, Jia (CR25) 2016; 435 Zhang, Meng, Zhang, Song (CR41) 2012; 218 Li, Shuai, Wang (CR13) 2004; 2004 Gray, Greenhalgh, Hu, Mao, Pan (CR6) 2011; 71 Meng, Wang, Zhang (CR32) 2016; 6 Wu, Feng (CR38) 2000; 168 Zhou, Zhang, Yuan, Hu (CR47) 2014; 2014 Zhao, Yuan, Zhang (CR46) 2017; 44 Liu, Jiang, Shi (CR24) 2018; 316 Liu, Wang, Meng, Gao (CR15) 2017; 2017 Liu, Chen (CR17) 2002; 129 Liu, Levin, Iwasa (CR20) 1986; 23 Mao, Marion, Renshaw (CR28) 2002; 97 Meng (CR29) 2010; 217 Zhang, Teng (CR40) 2008; 9 Miao, Zhang, Zhang, Pradeep (CR33) 2017; 2017 Zhao, Zhang (CR45) 2016; 29 Wang, Jiang, Hayat, Ahmad (CR37) 2017; 315 Gao, Chen, Nieto, Torres (CR5) 2006; 24 He, Gao, Xie (CR7) 2013; 37 Tan, Zhang (CR36) 2015; 28 Zhang, Chen, Han (CR42) 2014; 52 Liu, Meng (CR19) 2017; 2017 Meng, Chen, Wu (CR30) 2010; 11 Jiang, Ma (CR8) 2015; 38 Liu (CR16) 2015; 48 Liu, Fan (CR18) 2017; 27 Feng, Meng, Liu, Gao (CR4) 2016; 2016 Mao (CR27) 1997 Chen, Teng, Wang, Jiang (CR2) 2013; 71 Leng, Feng, Meng (CR11) 2017; 2017 Roberts, Saha (CR35) 1999; 12 Liu, Jiang, Shi, Hayat, Alsaedi (CR22) 2016; 462 Li, Chen (CR12) 2015; 2015 Miao, Wang, Zhang, Wang, Pradeep (CR34) 2017; 2017 WM Liu (857_CR20) 1986; 23 Q Liu (857_CR23) 2017; 467 WB Ma (857_CR26) 2004; 17 Q Liu (857_CR24) 2018; 316 XR Mao (857_CR27) 1997 T Feng (857_CR4) 2016; 2016 SJ Gao (857_CR5) 2006; 24 XK Liu (857_CR21) 2014; 228 XZ Meng (857_CR32) 2016; 6 YY He (857_CR7) 2013; 37 XN Leng (857_CR11) 2017; 2017 Z Li (857_CR13) 2004; 2004 YN Zhao (857_CR44) 2014; 243 M Liu (857_CR16) 2015; 48 AQ Miao (857_CR34) 2017; 2017 A Korobeinikov (857_CR10) 2007; 69 TH Zhang (857_CR42) 2014; 52 KL Cooke (857_CR3) 1996; 35 ZC Jiang (857_CR8) 2015; 38 LI Wu (857_CR38) 2000; 168 TL Zhang (857_CR40) 2008; 9 G Li (857_CR12) 2015; 2015 MG Roberts (857_CR35) 1999; 12 A Gray (857_CR6) 2011; 71 XR Mao (857_CR28) 2002; 97 QL Chen (857_CR2) 2013; 71 M Liu (857_CR18) 2017; 27 HJ Ma (857_CR25) 2016; 435 XZ Meng (857_CR30) 2010; 11 Y Zhao (857_CR46) 2017; 44 XZ Meng (857_CR31) 2016; 433 Q Liu (857_CR22) 2016; 462 Anqi Miao (857_CR33) 2017; 2017 GD Liu (857_CR15) 2017; 2017 V Capasso (857_CR1) 1978; 42 SQ Liu (857_CR17) 2002; 129 LD Liu (857_CR19) 2017; 2017 Y Zhao (857_CR45) 2016; 29 C Tan (857_CR36) 2015; 28 857_CR14 Y Wang (857_CR37) 2017; 315 YL Zhou (857_CR47) 2014; 2014 TQ Zhang (857_CR41) 2012; 218 A Korobeinikov (857_CR9) 2006; 68 857_CR39 TQ Zhang (857_CR43) 2016; 6 XZ Meng (857_CR29) 2010; 217 |
| References_xml | – volume: 129 start-page: 481 year: 2002 end-page: 499 ident: CR17 article-title: Permanence, extinction and balancing survival in nonautonomous Lotka–Volterra system with delays publication-title: Appl Math Comput – volume: 38 start-page: 505 year: 2015 end-page: 516 ident: CR8 article-title: Permanence of a delayed SIR epidemic model with general nonlinear incidence rate publication-title: Math Method Appl Sci doi: 10.1002/mma.3083 – volume: 11 start-page: 88 year: 2010 end-page: 98 ident: CR30 article-title: A delay SIR epidemic model with pulse vaccination and incubation times publication-title: Nonlinear Anal Real World Appl doi: 10.1016/j.nonrwa.2008.10.041 – volume: 6 start-page: 865 year: 2016 end-page: 875 ident: CR32 article-title: Global dynamics analysis of a nonlinear impulsive stochastic chemostat system in a polluted environment publication-title: J Appl Anal Comput – volume: 35 start-page: 240 year: 1996 end-page: 260 ident: CR3 article-title: Analysis of an SEIRS epidemic model with two delays publication-title: J Math Biol doi: 10.1007/s002850050051 – volume: 467 start-page: 527 year: 2017 end-page: 541 ident: CR23 article-title: Asymptotic behavior of stochastic multi-group epidemic models with distributed delays publication-title: Physica A doi: 10.1016/j.physa.2016.10.034 – volume: 2004 start-page: 1 issue: 108 year: 2004 end-page: 5 ident: CR13 article-title: Persistence and extinction of single population in a polluted environment publication-title: Electron J Differ Equ – volume: 2014 start-page: 1 issue: 42 year: 2014 end-page: 17 ident: CR47 article-title: Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate publication-title: Electron J Differ Equ – ident: CR14 – volume: 2017 start-page: 1 year: 2017 end-page: 10 ident: CR33 article-title: Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination publication-title: Computational and Mathematical Methods in Medicine doi: 10.1155/2017/4820183 – ident: CR39 – year: 1997 ident: CR27 publication-title: Stochastic differential equations and applications – volume: 462 start-page: 870 year: 2016 end-page: 882 ident: CR22 article-title: Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence publication-title: Phys A doi: 10.1016/j.physa.2016.06.095 – volume: 2017 start-page: 226 year: 2017 ident: CR34 article-title: Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis publication-title: Adv Differ Equ doi: 10.1186/s13662-017-1289-9 – volume: 12 start-page: 37 year: 1999 end-page: 41 ident: CR35 article-title: The asymptotic behaviour of a logistic epidemic model with stochastic disease transmission publication-title: Appl Math Lett doi: 10.1016/S0893-9659(98)00123-2 – volume: 2015 start-page: 14 year: 2015 ident: CR12 article-title: Infinite horizon linear quadratic optimal control for stochastic difference time-delay systems publication-title: Adv Differ Equ doi: 10.1186/s13662-014-0342-1 – volume: 433 start-page: 227 year: 2016 end-page: 242 ident: CR31 article-title: Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2015.07.056 – volume: 28 start-page: 830 year: 2015 end-page: 847 ident: CR36 article-title: On observability and detectability of continuous-time stochastic Markov jump systems publication-title: J Syst Sci Complex doi: 10.1007/s11424-015-2253-y – volume: 2017 start-page: 138 year: 2017 ident: CR11 article-title: Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps publication-title: J Inequal Appl doi: 10.1186/s13660-017-1418-8 – volume: 2017 start-page: 15 year: 2017 ident: CR15 article-title: Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps publication-title: Complexity – volume: 97 start-page: 95 year: 2002 end-page: 110 ident: CR28 article-title: Environmental brownian noise suppresses explosions in population dynamics publication-title: Stoch Proc Appl doi: 10.1016/S0304-4149(01)00126-0 – volume: 71 start-page: 55 year: 2013 end-page: 73 ident: CR2 article-title: The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence publication-title: Nonlinear Dyn doi: 10.1007/s11071-012-0641-6 – volume: 168 start-page: 150 year: 2000 end-page: 167 ident: CR38 article-title: Homoclinic bifurcation in an SIQR model for childhood diseases publication-title: J Differ Equ doi: 10.1006/jdeq.2000.3882 – volume: 44 start-page: 266 year: 2017 end-page: 276 ident: CR46 article-title: Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2016.08.013 – volume: 217 start-page: 506 year: 2010 end-page: 515 ident: CR29 article-title: Stability of a novel stochastic epidemic model with double epidemic hypothesis publication-title: Appl Math Comput – volume: 315 start-page: 477 year: 2017 end-page: 493 ident: CR37 article-title: A stochastic HIV infection model with T-cell proliferation and CTL immune response publication-title: Appl Math Comput doi: 10.1016/j.cam.2016.10.017 – volume: 29 start-page: 946 year: 2016 end-page: 958 ident: CR45 article-title: Observer-based controller design for singular stochastic Markov jump systems with state dependent noise publication-title: J Syst Sci Complex doi: 10.1007/s11424-016-5060-1 – volume: 2016 start-page: 327 year: 2016 ident: CR4 article-title: Application of inequalities technique to dynamics analysis of a stochastic eco-epidemiology model publication-title: J Inequal Appl doi: 10.1186/s13660-016-1265-z – volume: 68 start-page: 615 year: 2006 end-page: 626 ident: CR9 article-title: Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission publication-title: Bull Math Biol doi: 10.1007/s11538-005-9037-9 – volume: 243 start-page: 718 year: 2014 end-page: 727 ident: CR44 article-title: The threshold of a stochastic SIS epidemic model with vaccination publication-title: Appl Math Comput – volume: 27 start-page: 425 year: 2017 end-page: 452 ident: CR18 article-title: Permanence of stochastic Lotka–Volterra systems publication-title: J Nonlinear Sci doi: 10.1007/s00332-016-9337-2 – volume: 316 start-page: 310 year: 2018 end-page: 325 ident: CR24 article-title: Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching publication-title: Appl Math Comput – volume: 48 start-page: 102 year: 2015 end-page: 108 ident: CR16 article-title: Optimal harvesting policy of a stochastic predator-prey model with time delay publication-title: Appl Math Lett doi: 10.1016/j.aml.2014.10.007 – volume: 17 start-page: 1141 year: 2004 end-page: 1145 ident: CR26 article-title: Global stability of an SIR epidemicmodel with time delay publication-title: Appl Math Lett doi: 10.1016/j.aml.2003.11.005 – volume: 228 start-page: 264 year: 2014 end-page: 270 ident: CR21 article-title: Stochastic linear quadratic optimal control with constraint for discrete-time systems publication-title: Appl Math Comput – volume: 23 start-page: 187 year: 1986 end-page: 204 ident: CR20 article-title: Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models publication-title: J Math Biol doi: 10.1007/BF00276956 – volume: 435 start-page: 593 year: 2016 end-page: 605 ident: CR25 article-title: Stability analysis for stochastic differential equations with infinite Markovian switchings publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2015.10.047 – volume: 37 start-page: 8131 year: 2013 end-page: 8140 ident: CR7 article-title: An SIR epidemic model with time-varying pulse control schemes and saturated infectious force publication-title: Appl Math Model doi: 10.1016/j.apm.2013.03.035 – volume: 71 start-page: 876 year: 2011 end-page: 902 ident: CR6 article-title: A stochastic differential equation SIS epidemic model publication-title: SIAM J Appl Math doi: 10.1137/10081856X – volume: 2017 start-page: 18 year: 2017 ident: CR19 article-title: Optimal harvesting control and dynamics of two species stochastic model with delays publication-title: Adv Differ Equ doi: 10.1186/s13662-017-1077-6 – volume: 218 start-page: 11806 year: 2012 end-page: 11819 ident: CR41 article-title: Global dynamics for a new high-dimensional SIR model with distributed delay publication-title: Appl Math Comput – volume: 42 start-page: 43 year: 1978 end-page: 61 ident: CR1 article-title: A generalization of the Kermack–Mckendrick deterministic epidemic model publication-title: Math Biosci doi: 10.1016/0025-5564(78)90006-8 – volume: 24 start-page: 6037 year: 2006 end-page: 6045 ident: CR5 article-title: Analysis of a delayed epidemic model with pulse vaccination and saturation incidence publication-title: Vaccine doi: 10.1016/j.vaccine.2006.05.018 – volume: 69 start-page: 1871 year: 2007 end-page: 1886 ident: CR10 article-title: Global properties of infectious disease models with nonlinear incidence publication-title: Bull Math Biol doi: 10.1007/s11538-007-9196-y – volume: 9 start-page: 1409 year: 2008 end-page: 1424 ident: CR40 article-title: Global behavior and permanence of SIRS epidemic model with time delay publication-title: Nonlinear Anal Real World Appl doi: 10.1016/j.nonrwa.2007.03.010 – volume: 6 start-page: 479 year: 2016 end-page: 491 ident: CR43 article-title: Global analysis for a delayed SIV model with direct and environmental transmissions publication-title: J Appl Anal Comput – volume: 52 start-page: 1441 year: 2014 end-page: 1459 ident: CR42 article-title: Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors publication-title: J Math Chem doi: 10.1007/s10910-014-0321-5 – volume: 2017 start-page: 18 year: 2017 ident: 857_CR19 publication-title: Adv Differ Equ doi: 10.1186/s13662-017-1077-6 – volume: 24 start-page: 6037 year: 2006 ident: 857_CR5 publication-title: Vaccine doi: 10.1016/j.vaccine.2006.05.018 – volume: 2017 start-page: 138 year: 2017 ident: 857_CR11 publication-title: J Inequal Appl doi: 10.1186/s13660-017-1418-8 – volume: 44 start-page: 266 year: 2017 ident: 857_CR46 publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2016.08.013 – volume: 9 start-page: 1409 year: 2008 ident: 857_CR40 publication-title: Nonlinear Anal Real World Appl doi: 10.1016/j.nonrwa.2007.03.010 – volume: 315 start-page: 477 year: 2017 ident: 857_CR37 publication-title: Appl Math Comput doi: 10.1016/j.cam.2016.10.017 – volume: 6 start-page: 865 year: 2016 ident: 857_CR32 publication-title: J Appl Anal Comput – volume: 71 start-page: 876 year: 2011 ident: 857_CR6 publication-title: SIAM J Appl Math doi: 10.1137/10081856X – volume: 23 start-page: 187 year: 1986 ident: 857_CR20 publication-title: J Math Biol doi: 10.1007/BF00276956 – volume: 97 start-page: 95 year: 2002 ident: 857_CR28 publication-title: Stoch Proc Appl doi: 10.1016/S0304-4149(01)00126-0 – volume: 218 start-page: 11806 year: 2012 ident: 857_CR41 publication-title: Appl Math Comput – volume: 243 start-page: 718 year: 2014 ident: 857_CR44 publication-title: Appl Math Comput – volume: 129 start-page: 481 year: 2002 ident: 857_CR17 publication-title: Appl Math Comput – volume: 71 start-page: 55 year: 2013 ident: 857_CR2 publication-title: Nonlinear Dyn doi: 10.1007/s11071-012-0641-6 – volume: 435 start-page: 593 year: 2016 ident: 857_CR25 publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2015.10.047 – volume: 316 start-page: 310 year: 2018 ident: 857_CR24 publication-title: Appl Math Comput – volume: 48 start-page: 102 year: 2015 ident: 857_CR16 publication-title: Appl Math Lett doi: 10.1016/j.aml.2014.10.007 – volume: 2017 start-page: 226 year: 2017 ident: 857_CR34 publication-title: Adv Differ Equ doi: 10.1186/s13662-017-1289-9 – volume: 37 start-page: 8131 year: 2013 ident: 857_CR7 publication-title: Appl Math Model doi: 10.1016/j.apm.2013.03.035 – volume: 2004 start-page: 1 issue: 108 year: 2004 ident: 857_CR13 publication-title: Electron J Differ Equ – volume: 38 start-page: 505 year: 2015 ident: 857_CR8 publication-title: Math Method Appl Sci doi: 10.1002/mma.3083 – volume: 68 start-page: 615 year: 2006 ident: 857_CR9 publication-title: Bull Math Biol doi: 10.1007/s11538-005-9037-9 – volume: 2017 start-page: 1 year: 2017 ident: 857_CR33 publication-title: Computational and Mathematical Methods in Medicine doi: 10.1155/2017/4820183 – volume: 6 start-page: 479 year: 2016 ident: 857_CR43 publication-title: J Appl Anal Comput – volume: 69 start-page: 1871 year: 2007 ident: 857_CR10 publication-title: Bull Math Biol doi: 10.1007/s11538-007-9196-y – volume: 27 start-page: 425 year: 2017 ident: 857_CR18 publication-title: J Nonlinear Sci doi: 10.1007/s00332-016-9337-2 – volume: 35 start-page: 240 year: 1996 ident: 857_CR3 publication-title: J Math Biol doi: 10.1007/s002850050051 – volume: 2015 start-page: 14 year: 2015 ident: 857_CR12 publication-title: Adv Differ Equ doi: 10.1186/s13662-014-0342-1 – volume: 467 start-page: 527 year: 2017 ident: 857_CR23 publication-title: Physica A doi: 10.1016/j.physa.2016.10.034 – volume-title: Stochastic differential equations and applications year: 1997 ident: 857_CR27 – volume: 17 start-page: 1141 year: 2004 ident: 857_CR26 publication-title: Appl Math Lett doi: 10.1016/j.aml.2003.11.005 – volume: 28 start-page: 830 year: 2015 ident: 857_CR36 publication-title: J Syst Sci Complex doi: 10.1007/s11424-015-2253-y – volume: 42 start-page: 43 year: 1978 ident: 857_CR1 publication-title: Math Biosci doi: 10.1016/0025-5564(78)90006-8 – volume: 2016 start-page: 327 year: 2016 ident: 857_CR4 publication-title: J Inequal Appl doi: 10.1186/s13660-016-1265-z – volume: 52 start-page: 1441 year: 2014 ident: 857_CR42 publication-title: J Math Chem doi: 10.1007/s10910-014-0321-5 – volume: 228 start-page: 264 year: 2014 ident: 857_CR21 publication-title: Appl Math Comput – volume: 29 start-page: 946 year: 2016 ident: 857_CR45 publication-title: J Syst Sci Complex doi: 10.1007/s11424-016-5060-1 – volume: 2014 start-page: 1 issue: 42 year: 2014 ident: 857_CR47 publication-title: Electron J Differ Equ – volume: 2017 start-page: 15 year: 2017 ident: 857_CR15 publication-title: Complexity – volume: 433 start-page: 227 year: 2016 ident: 857_CR31 publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2015.07.056 – volume: 217 start-page: 506 year: 2010 ident: 857_CR29 publication-title: Appl Math Comput – ident: 857_CR14 doi: 10.1155/2018/7873902 – ident: 857_CR39 doi: 10.1155/2015/758362 – volume: 12 start-page: 37 year: 1999 ident: 857_CR35 publication-title: Appl Math Lett doi: 10.1016/S0893-9659(98)00123-2 – volume: 462 start-page: 870 year: 2016 ident: 857_CR22 publication-title: Phys A doi: 10.1016/j.physa.2016.06.095 – volume: 11 start-page: 88 year: 2010 ident: 857_CR30 publication-title: Nonlinear Anal Real World Appl doi: 10.1016/j.nonrwa.2008.10.041 – volume: 168 start-page: 150 year: 2000 ident: 857_CR38 publication-title: J Differ Equ doi: 10.1006/jdeq.2000.3882 |
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| Snippet | This paper proposes a new delayed stochastic epidemic model with double epidemic hypothesis and a general nonlinear response function. The main purpose is to... |
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| SubjectTerms | Applications of Mathematics Applied physics Asymptotic properties Background noise Computational mathematics Computational Mathematics and Numerical Analysis Computer simulation Economic models Epidemics Liapunov functions Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematical models Mathematics Mathematics and Statistics Nonlinear response Response functions Simulation Stochastic models |
| Title | Dynamics analysis and numerical simulations of a delayed stochastic epidemic model subject to a general response function |
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