A delay fractional order model for the co-infection of malaria and HIV/AIDS
We propose a delay fractional order model for the co-infection of malaria and the human immunodeficiency virus, where personal protection and vaccination against malaria are considered. We compute the reproduction number of the model and study the stability of the disease free equilibrium. The numer...
Saved in:
| Published in | International journal of dynamics and control Vol. 5; no. 1; pp. 168 - 186 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.03.2017
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | We propose a delay fractional order model for the co-infection of malaria and the human immunodeficiency virus, where personal protection and vaccination against malaria are considered. We compute the reproduction number of the model and study the stability of the disease free equilibrium. The numerical simulations of the model are performed for distinct values of the order of the fractional derivative,
α
∈
(
0
,
1
]
. We have also varied relevant parameters, such as the susceptibility to malaria of individuals showing symptoms of acquired immunodeficiency syndrome,
ν
2
, the degree of sexual activity due to malaria,
ϵ
2
, the human immunodeficiency virus related mortality due to co-infection,
ψ
, and the level of personal protection against malaria,
b
. The outputs of the model are biologically meaningful. |
|---|---|
| AbstractList | We propose a delay fractional order model for the co-infection of malaria and the human immunodeficiency virus, where personal protection and vaccination against malaria are considered. We compute the reproduction number of the model and study the stability of the disease free equilibrium. The numerical simulations of the model are performed for distinct values of the order of the fractional derivative, α ∈ ( 0 , 1 ] . We have also varied relevant parameters, such as the susceptibility to malaria of individuals showing symptoms of acquired immunodeficiency syndrome, ν 2 , the degree of sexual activity due to malaria, ϵ 2 , the human immunodeficiency virus related mortality due to co-infection, ψ , and the level of personal protection against malaria, b. The outputs of the model are biologically meaningful. We propose a delay fractional order model for the co-infection of malaria and the human immunodeficiency virus, where personal protection and vaccination against malaria are considered. We compute the reproduction number of the model and study the stability of the disease free equilibrium. The numerical simulations of the model are performed for distinct values of the order of the fractional derivative, α ∈ ( 0 , 1 ] . We have also varied relevant parameters, such as the susceptibility to malaria of individuals showing symptoms of acquired immunodeficiency syndrome, ν 2 , the degree of sexual activity due to malaria, ϵ 2 , the human immunodeficiency virus related mortality due to co-infection, ψ , and the level of personal protection against malaria, b . The outputs of the model are biologically meaningful. |
| Author | Pinto, Carla M. A. Carvalho, Ana |
| Author_xml | – sequence: 1 givenname: Ana surname: Carvalho fullname: Carvalho, Ana organization: Faculdade de Ciências da Universidade do Porto – sequence: 2 givenname: Carla M. A. orcidid: 0000-0002-0729-1133 surname: Pinto fullname: Pinto, Carla M. A. email: cap@isep.ipp.pt organization: School of Engineering, Polytechnic of Porto, Center of Mathematics of the University of Porto |
| BookMark | eNp9kMlOAzEMhiNUJErpA3CLxDnUWWY7VmVpRSUOLOIWuZkEpppOSjI99O2ZMgghJDjZlv3Zv_9TMmh8Ywk553DJAbJJVKBkwoCnDIRQTB6RoeBFwkRa5IPvPH85IeMY1wAguAKhiiG5m9LS1rinLqBpK99gTX0obaAb3zWo84G2b5Yaz6rG2c8R6h3dYI2hQopNSeeL58l0cfVwRo4d1tGOv-KIPN1cP87mbHl_u5hNl8wIySUrAVKTAReJlU44RJHKJOcS3QqMNCbvCpFInskky5U1fFU4lRpQgLACgXJELvq92-Dfdza2eu13oVMeNc9zyNIk7fgR4f2UCT7GYJ3ehmqDYa856INturdNd7bpg21adkz2izFVi4ef24BV_S8pejJ2V5pXG35o-hP6ALJRf80 |
| CitedBy_id | crossref_primary_10_3390_fractalfract3020034 crossref_primary_10_1007_s00009_017_1027_2 crossref_primary_10_1016_j_physa_2019_122664 crossref_primary_10_1186_s13662_018_1468_3 crossref_primary_10_1186_s13662_019_2262_6 crossref_primary_10_1002_mma_4414 crossref_primary_10_1177_16878132221123888 crossref_primary_10_1216_rmj_2020_50_1901 crossref_primary_10_3390_math10152615 crossref_primary_10_3390_fractalfract7120882 crossref_primary_10_1016_j_aej_2020_08_050 crossref_primary_10_1007_s12346_024_00987_0 crossref_primary_10_1007_s11071_017_3870_x crossref_primary_10_1186_s13662_018_1827_0 crossref_primary_10_3390_sym14071342 crossref_primary_10_1007_s10958_024_07408_2 crossref_primary_10_3934_math_2023510 crossref_primary_10_1186_s13662_017_1303_2 crossref_primary_10_3934_math_2022463 crossref_primary_10_1016_j_chaos_2024_115673 crossref_primary_10_3390_sym12040578 crossref_primary_10_1002_mma_5788 crossref_primary_10_3390_axioms10030174 crossref_primary_10_1186_s13662_019_2147_8 crossref_primary_10_1007_s40840_019_00871_0 crossref_primary_10_3390_fractalfract6100618 crossref_primary_10_3390_fractalfract7120837 crossref_primary_10_1186_s13662_020_03045_6 crossref_primary_10_1007_s10473_021_0420_x crossref_primary_10_1007_s12190_020_01413_9 crossref_primary_10_3934_math_2024729 crossref_primary_10_1515_ijnsns_2021_0150 crossref_primary_10_1186_s13662_019_2003_x crossref_primary_10_1186_s13661_023_01697_3 crossref_primary_10_1155_2022_9471590 crossref_primary_10_3934_math_2020099 crossref_primary_10_1007_s12190_024_02038_y crossref_primary_10_1155_2019_4291017 crossref_primary_10_1186_s13661_017_0801_1 crossref_primary_10_1186_s13662_023_03782_4 crossref_primary_10_1186_s13660_023_03018_9 crossref_primary_10_3934_math_2019_6_1596 crossref_primary_10_1142_S1664360724500061 crossref_primary_10_3390_e20040259 crossref_primary_10_1007_s11253_021_01966_3 crossref_primary_10_1186_s13662_019_2224_z crossref_primary_10_3934_math_2023804 crossref_primary_10_1186_s13661_023_01728_z crossref_primary_10_3390_fractalfract4030031 crossref_primary_10_1088_1402_4896_ac9e7a crossref_primary_10_1186_s13662_019_2412_x crossref_primary_10_1016_j_aej_2022_03_058 crossref_primary_10_1016_j_fraope_2024_100186 crossref_primary_10_3934_math_2023203 crossref_primary_10_1016_j_cnsns_2019_104888 crossref_primary_10_1515_msds_2022_0146 crossref_primary_10_17537_2021_16_57 crossref_primary_10_3934_math_2022045 crossref_primary_10_1016_j_jare_2020_12_012 crossref_primary_10_1186_s13662_017_1287_y crossref_primary_10_3390_sym10120701 crossref_primary_10_1186_s13661_017_0902_x crossref_primary_10_1080_16583655_2021_2010984 crossref_primary_10_1016_j_aej_2020_07_021 crossref_primary_10_1186_s13662_021_03440_7 crossref_primary_10_1016_j_cam_2020_113247 crossref_primary_10_1016_j_aej_2024_01_061 crossref_primary_10_11948_20200049 crossref_primary_10_1186_s13662_018_1602_2 crossref_primary_10_1016_j_heliyon_2024_e25853 crossref_primary_10_3390_fractalfract3030044 crossref_primary_10_1007_s40840_017_0480_1 crossref_primary_10_1515_fca_2019_0034 crossref_primary_10_1007_s40435_016_0251_0 crossref_primary_10_1142_S1793524520500102 crossref_primary_10_1186_s13662_017_1139_9 crossref_primary_10_37863_umzh_v73i6_388 crossref_primary_10_1186_s13662_020_2539_9 crossref_primary_10_3390_axioms9020070 crossref_primary_10_1142_S0218348X20400411 crossref_primary_10_1142_S1793524519500578 crossref_primary_10_1186_s13662_020_03174_y crossref_primary_10_1016_j_aml_2021_107018 crossref_primary_10_1155_2017_5742965 crossref_primary_10_1007_s40314_017_0462_9 crossref_primary_10_3390_e19070375 |
| Cites_doi | 10.1016/S0001-706X(00)00109-1 10.1016/j.tpb.2008.10.002 10.1016/j.physleta.2006.04.087 10.1016/j.amc.2013.02.053 10.1016/j.mbs.2015.01.009 10.1126/science.1132338 10.1016/j.bulm.2005.01.002 10.1137/050638941 10.1001/archinte.167.17.1827 10.1155/2012/921715 10.5040/9798400647055 10.1016/S0025-5564(02)00108-6 10.1098/rstb.1984.0112 10.1155/2015/659651 10.1016/j.physa.2007.01.010 10.1016/j.mcm.2006.12.010 10.1016/S1473-3099(04)01043-6 10.1097/00002030-199903110-00007 10.1115/1.1568121 10.1093/infdis/jiq049 10.1111/1469-0691.12597 10.1097/00002030-200402200-00023 10.1016/j.amc.2007.05.016 10.3934/mbe.2009.6.333 |
| ContentType | Journal Article |
| Copyright | Springer-Verlag Berlin Heidelberg 2016 Copyright Springer Science & Business Media 2017 |
| Copyright_xml | – notice: Springer-Verlag Berlin Heidelberg 2016 – notice: Copyright Springer Science & Business Media 2017 |
| DBID | AAYXX CITATION |
| DOI | 10.1007/s40435-016-0224-3 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 2195-2698 |
| EndPage | 186 |
| ExternalDocumentID | 10_1007_s40435_016_0224_3 |
| GroupedDBID | -EM 0R~ 30V 4.4 406 96X AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAZMS ABAKF ABDZT ABECU ABFTV ABJNI ABJOX ABKCH ABMQK ABQBU ABTEG ABTKH ABTMW ABXPI ACAOD ACDTI ACGFS ACHSB ACIWK ACKNC ACMLO ACOKC ACPIV ACZOJ ADHHG ADHIR ADINQ ADKNI ADRFC ADURQ ADYFF ADZKW AEBTG AEFQL AEGNC AEJHL AEJRE AEMSY AEOHA AEPYU AESKC AETCA AEVLU AEXYK AFBBN AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGJBK AGMZJ AGQEE AGQMX AGRTI AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AILAN AITGF AJBLW AJRNO AJZVZ AKLTO ALFXC ALMA_UNASSIGNED_HOLDINGS AMKLP AMXSW AMYLF AMYQR ANMIH ASPBG AUKKA AVWKF AVXWI AXYYD AZFZN BGNMA DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FIGPU FINBP FNLPD FRRFC FSGXE FYJPI GGCAI GGRSB GJIRD H13 HMJXF HRMNR HVGLF HZ~ I0C IKXTQ IWAJR J-C JBSCW JZLTJ KOV LLZTM M4Y NPVJJ NQJWS NU0 O9- O9J PT4 RLLFE ROL RSV SCL SHX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE TSG UG4 UOJIU UTJUX UZXMN VFIZW W48 ZMTXR AAYXX ABBRH ABDBE ABFSG ACSTC AEZWR AFDZB AFHIU AFOHR AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION ABRTQ |
| ID | FETCH-LOGICAL-c2313-d006c70125e3f2faa2635813afb0c3cc85812531735784ec1b9f46c040a0b02a3 |
| IEDL.DBID | AGYKE |
| ISSN | 2195-268X |
| IngestDate | Wed Aug 13 08:06:39 EDT 2025 Tue Jul 01 02:44:13 EDT 2025 Thu Apr 24 23:11:47 EDT 2025 Fri Feb 21 02:31:38 EST 2025 |
| IsPeerReviewed | false |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Malaria FHIV Fractional order model |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c2313-d006c70125e3f2faa2635813afb0c3cc85812531735784ec1b9f46c040a0b02a3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-0729-1133 |
| PQID | 1880765625 |
| PQPubID | 2043900 |
| PageCount | 19 |
| ParticipantIDs | proquest_journals_1880765625 crossref_primary_10_1007_s40435_016_0224_3 crossref_citationtrail_10_1007_s40435_016_0224_3 springer_journals_10_1007_s40435_016_0224_3 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20170300 |
| PublicationDateYYYYMMDD | 2017-03-01 |
| PublicationDate_xml | – month: 3 year: 2017 text: 20170300 |
| PublicationDecade | 2010 |
| PublicationPlace | Berlin/Heidelberg |
| PublicationPlace_xml | – name: Berlin/Heidelberg – name: Heidelberg |
| PublicationTitle | International journal of dynamics and control |
| PublicationTitleAbbrev | Int. J. Dynam. Control |
| PublicationYear | 2017 |
| Publisher | Springer Berlin Heidelberg Springer Nature B.V |
| Publisher_xml | – name: Springer Berlin Heidelberg – name: Springer Nature B.V |
| References | Detinova TS (1962) Age grouping methods in Diptera of medical importance, with special reference to some vectors of malaria. Monogr Ser 47:213. http://apps.who.int/iris/bitstream/10665/41724/1/WHO_MONO_47_%28part1%29.pdf GrimwadeaKFrenchNMbathaDDZunguDDDedicoatMDGilksCFHIV infection as a cofactor for severe falciparum malaria in adults living in a region of unstable malaria transmission in South AfricaAIDS20041854755410.1097/00002030-200402200-00023 BrentlingerPEBehrensCBKublinJGChallenges in the prevention, diagnosis, and treatment of malaria in human immunodeficiency virus infected adults in sub-Saharan AfricaArch Intern Med2007167171827183610.1001/archinte.167.17.1827 ChiyakaCTchuencheJMGariraWDubeSEffects of treatment and drugs resistance on the transmission dynamics of malaria in endemic areasTheor Popul Biol200975142910.1016/j.tpb.2008.10.0021210.92005 DietzKMolineauxLThomasAA malaria model tested in the African savannahBull World Health Organ197450347357 ChiyakaCGariraWDubeSTransmission model of endemic human malaria in a partially immune populationMath Comput Model2007465–6806822233353710.1016/j.mcm.2006.12.0101126.92043 Van GeertruydenJPInteractions between malaria and human immunodefficiency virus anno 2014Clin Microbiol Infect20142027828510.1111/1469-0691.12597 AhmedEElgazzarASOn fractional order differential equations model for nonlocal epidemicsPhys A2007379607614228809510.1016/j.physa.2007.01.010 Ahmed E, El-Sayed AMA, El-Saka HAA (2006) On some Routh–Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems. Phys Lett A 358:1–4 Center for Disease Control (CDC). http://www.cdc.gov/malaria ÁguasRFerreiraMUGomesMGMModeling the effects of relapse in the transmission dynamics of malaria parasitesJ Parasitol Res2012201271592110.1155/2012/921715 GhoshMLashariAALiXZBiological control of malaria: a mathematical modelAppl Math Comput20132197923793930375041288.92021 AslFMUlsoyAGAnalysis of a system of linear delay differential equationsJ Dyn Syst200312521522310.1115/1.1568121 Center for Disease Control (CDC). http://www.cdc.gov/HIV MuteroCMBlankHKonradsenFvan der HoekWWater management for controlling the breeding of Anopheles mosquitoes in rice irrigation schemes in KenyaActa Trop20007625326310.1016/S0001-706X(00)00109-1 UNICEF Malaria Technical Note 6 (February 2003). http://www.unicef.org/health/files/UNICEFTechnicalNote6MalariaandHIV.docUNICEF BrownGVProgress in the development of malaria vaccines: context and constraintsParassitologia199941429432 The World Health Organization (WHO) (2004) Malaria and HIV interaction and their implications for public health police. http://www.who.int/hiv/pub/prev_care/malariahiv.pdf MukandavireZGumelABGariraWTchuencheJMMathematical analysis of a model for HIV-malaria co-infectionMath Biosci Eng20096333362253202010.3934/mbe.2009.6.3331167.92020 ChiyakaCTchuencheJMGariraWDubeSA mathematical analysis of the effects of control strategies on the transmission dynamics of malariaAppl Math Comput200819564166223812451128.92022 NyabadzaFBekeleBTRaMAMalonzaDMChidukuNKgosimoreMThe implications of HIV treatment on the HIV-malaria coinfection dynamics: a modeling perspectiveBioMed Res Int2015 ChandraGBhattacharjeeIChatterjeeSNGhoshAMosquito control by larvivorous fishIndian J Med Res20081271327 Hays JN (2005) Epidemics and pandemics: their impacts on human history. ABC-CLIO, Santa Barbara. http://www.abc-clio.com/ABC-CLIOCorporate/About.aspx BardajiASigauqueBSanzSMaixenchsMOrdiJAponteJJMabundaSAlonsoPLMenendezCImpact of malaria at the end of pregnancy on infant mortality and morbidityJ Infect Dis2011203569169910.1093/infdis/jiq049 BowmanCGumelABvan den DriesschePWuJZhuHA mathematical model for assessing control strategies against West Nile virusBull Math Biol20056711071133221689410.1016/j.bulm.2005.01.0021334.92392 HoffmanIFJereCSTaylorTEMunthaliPDyerJRWirimaJJRogersonSJKumwendaNEronJJFiscusSAChakrabortyHTahaTECohenMSMolyneuxMEThe effect of Plasmodium falciparum malaria on HIV-1 RNA blood plasma concentrationAIDS199913448749410.1097/00002030-199903110-00007 Abdu-RaddadLJPatnaikPKublinJGDual infection with HIV and malaria fuels the spread of both diseases in sub-Saharan AfricaScience20063141603160610.1126/science.1132338 HaySIGuerraCATatemAJNoorAMSnowRWThe global distribution and population at risk of malaria: past, present, and futureLancet Infect Dis2004432733610.1016/S1473-3099(04)01043-6 ChitnisNCushingJMHymanJMBifurcation analysis of a mathematical model for malaria transmissionSIAM J Appl Math20066712445227261310.1137/0506389411107.92047 MillerLHDavidPHHadleyTJFreemanRRPerspectives for malaria vaccination (and vaccination)Philos Trans R Soc Lond B19848429911510.1098/rstb.1984.0112 SardarTRanaSBhattacharyaSAl-KhaledKChattopadhyayJA generic model for a single strain mosquito-transmitted disease memory on the host and the vectorMath Biosci20152631836332799010.1016/j.mbs.2015.01.00906477277 DriesschePWatmoughJReproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmissionMath Biosci20021801–22948195074710.1016/S0025-5564(02)00108-61015.92036 LH Miller (224_CR9) 1984; 84 R Águas (224_CR20) 2012; 2012 F Nyabadza (224_CR23) 2015 C Bowman (224_CR30) 2005; 67 K Grimwadea (224_CR16) 2004; 18 224_CR1 224_CR4 224_CR17 T Sardar (224_CR24) 2015; 263 224_CR2 224_CR7 E Ahmed (224_CR28) 2007; 379 K Dietz (224_CR29) 1974; 50 A Bardaji (224_CR10) 2011; 203 N Chitnis (224_CR19) 2006; 67 224_CR26 FM Asl (224_CR27) 2003; 125 JP Geertruyden Van (224_CR5) 2014; 20 CM Mutero (224_CR8) 2000; 76 M Ghosh (224_CR22) 2013; 219 P Driessche (224_CR25) 2002; 180 PE Brentlinger (224_CR15) 2007; 167 G Chandra (224_CR6) 2008; 127 C Chiyaka (224_CR12) 2007; 46 LJ Abdu-Raddad (224_CR21) 2006; 314 C Chiyaka (224_CR14) 2009; 75 Z Mukandavire (224_CR31) 2009; 6 IF Hoffman (224_CR18) 1999; 13 224_CR32 C Chiyaka (224_CR13) 2008; 195 SI Hay (224_CR3) 2004; 4 GV Brown (224_CR11) 1999; 41 |
| References_xml | – reference: Ahmed E, El-Sayed AMA, El-Saka HAA (2006) On some Routh–Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems. Phys Lett A 358:1–4 – reference: MukandavireZGumelABGariraWTchuencheJMMathematical analysis of a model for HIV-malaria co-infectionMath Biosci Eng20096333362253202010.3934/mbe.2009.6.3331167.92020 – reference: HoffmanIFJereCSTaylorTEMunthaliPDyerJRWirimaJJRogersonSJKumwendaNEronJJFiscusSAChakrabortyHTahaTECohenMSMolyneuxMEThe effect of Plasmodium falciparum malaria on HIV-1 RNA blood plasma concentrationAIDS199913448749410.1097/00002030-199903110-00007 – reference: MillerLHDavidPHHadleyTJFreemanRRPerspectives for malaria vaccination (and vaccination)Philos Trans R Soc Lond B19848429911510.1098/rstb.1984.0112 – reference: AhmedEElgazzarASOn fractional order differential equations model for nonlocal epidemicsPhys A2007379607614228809510.1016/j.physa.2007.01.010 – reference: Detinova TS (1962) Age grouping methods in Diptera of medical importance, with special reference to some vectors of malaria. Monogr Ser 47:213. http://apps.who.int/iris/bitstream/10665/41724/1/WHO_MONO_47_%28part1%29.pdf – reference: HaySIGuerraCATatemAJNoorAMSnowRWThe global distribution and population at risk of malaria: past, present, and futureLancet Infect Dis2004432733610.1016/S1473-3099(04)01043-6 – reference: BrentlingerPEBehrensCBKublinJGChallenges in the prevention, diagnosis, and treatment of malaria in human immunodeficiency virus infected adults in sub-Saharan AfricaArch Intern Med2007167171827183610.1001/archinte.167.17.1827 – reference: Center for Disease Control (CDC). http://www.cdc.gov/malaria – reference: GhoshMLashariAALiXZBiological control of malaria: a mathematical modelAppl Math Comput20132197923793930375041288.92021 – reference: ÁguasRFerreiraMUGomesMGMModeling the effects of relapse in the transmission dynamics of malaria parasitesJ Parasitol Res2012201271592110.1155/2012/921715 – reference: BowmanCGumelABvan den DriesschePWuJZhuHA mathematical model for assessing control strategies against West Nile virusBull Math Biol20056711071133221689410.1016/j.bulm.2005.01.0021334.92392 – reference: ChiyakaCGariraWDubeSTransmission model of endemic human malaria in a partially immune populationMath Comput Model2007465–6806822233353710.1016/j.mcm.2006.12.0101126.92043 – reference: ChitnisNCushingJMHymanJMBifurcation analysis of a mathematical model for malaria transmissionSIAM J Appl Math20066712445227261310.1137/0506389411107.92047 – reference: DietzKMolineauxLThomasAA malaria model tested in the African savannahBull World Health Organ197450347357 – reference: BardajiASigauqueBSanzSMaixenchsMOrdiJAponteJJMabundaSAlonsoPLMenendezCImpact of malaria at the end of pregnancy on infant mortality and morbidityJ Infect Dis2011203569169910.1093/infdis/jiq049 – reference: BrownGVProgress in the development of malaria vaccines: context and constraintsParassitologia199941429432 – reference: Van GeertruydenJPInteractions between malaria and human immunodefficiency virus anno 2014Clin Microbiol Infect20142027828510.1111/1469-0691.12597 – reference: Abdu-RaddadLJPatnaikPKublinJGDual infection with HIV and malaria fuels the spread of both diseases in sub-Saharan AfricaScience20063141603160610.1126/science.1132338 – reference: GrimwadeaKFrenchNMbathaDDZunguDDDedicoatMDGilksCFHIV infection as a cofactor for severe falciparum malaria in adults living in a region of unstable malaria transmission in South AfricaAIDS20041854755410.1097/00002030-200402200-00023 – reference: NyabadzaFBekeleBTRaMAMalonzaDMChidukuNKgosimoreMThe implications of HIV treatment on the HIV-malaria coinfection dynamics: a modeling perspectiveBioMed Res Int2015 – reference: SardarTRanaSBhattacharyaSAl-KhaledKChattopadhyayJA generic model for a single strain mosquito-transmitted disease memory on the host and the vectorMath Biosci20152631836332799010.1016/j.mbs.2015.01.00906477277 – reference: ChiyakaCTchuencheJMGariraWDubeSEffects of treatment and drugs resistance on the transmission dynamics of malaria in endemic areasTheor Popul Biol200975142910.1016/j.tpb.2008.10.0021210.92005 – reference: UNICEF Malaria Technical Note 6 (February 2003). http://www.unicef.org/health/files/UNICEFTechnicalNote6MalariaandHIV.docUNICEF – reference: Hays JN (2005) Epidemics and pandemics: their impacts on human history. ABC-CLIO, Santa Barbara. http://www.abc-clio.com/ABC-CLIOCorporate/About.aspx – reference: DriesschePWatmoughJReproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmissionMath Biosci20021801–22948195074710.1016/S0025-5564(02)00108-61015.92036 – reference: AslFMUlsoyAGAnalysis of a system of linear delay differential equationsJ Dyn Syst200312521522310.1115/1.1568121 – reference: MuteroCMBlankHKonradsenFvan der HoekWWater management for controlling the breeding of Anopheles mosquitoes in rice irrigation schemes in KenyaActa Trop20007625326310.1016/S0001-706X(00)00109-1 – reference: The World Health Organization (WHO) (2004) Malaria and HIV interaction and their implications for public health police. http://www.who.int/hiv/pub/prev_care/malariahiv.pdf – reference: ChiyakaCTchuencheJMGariraWDubeSA mathematical analysis of the effects of control strategies on the transmission dynamics of malariaAppl Math Comput200819564166223812451128.92022 – reference: Center for Disease Control (CDC). http://www.cdc.gov/HIV – reference: ChandraGBhattacharjeeIChatterjeeSNGhoshAMosquito control by larvivorous fishIndian J Med Res20081271327 – volume: 41 start-page: 429 year: 1999 ident: 224_CR11 publication-title: Parassitologia – ident: 224_CR1 – volume: 76 start-page: 253 year: 2000 ident: 224_CR8 publication-title: Acta Trop doi: 10.1016/S0001-706X(00)00109-1 – volume: 75 start-page: 14 year: 2009 ident: 224_CR14 publication-title: Theor Popul Biol doi: 10.1016/j.tpb.2008.10.002 – ident: 224_CR32 – ident: 224_CR17 – ident: 224_CR26 doi: 10.1016/j.physleta.2006.04.087 – volume: 219 start-page: 7923 year: 2013 ident: 224_CR22 publication-title: Appl Math Comput doi: 10.1016/j.amc.2013.02.053 – volume: 263 start-page: 18 year: 2015 ident: 224_CR24 publication-title: Math Biosci doi: 10.1016/j.mbs.2015.01.009 – ident: 224_CR4 – volume: 314 start-page: 1603 year: 2006 ident: 224_CR21 publication-title: Science doi: 10.1126/science.1132338 – volume: 67 start-page: 1107 year: 2005 ident: 224_CR30 publication-title: Bull Math Biol doi: 10.1016/j.bulm.2005.01.002 – volume: 67 start-page: 24 issue: 1 year: 2006 ident: 224_CR19 publication-title: SIAM J Appl Math doi: 10.1137/050638941 – ident: 224_CR2 – volume: 127 start-page: 13 year: 2008 ident: 224_CR6 publication-title: Indian J Med Res – volume: 167 start-page: 1827 issue: 17 year: 2007 ident: 224_CR15 publication-title: Arch Intern Med doi: 10.1001/archinte.167.17.1827 – volume: 2012 start-page: 715 year: 2012 ident: 224_CR20 publication-title: J Parasitol Res doi: 10.1155/2012/921715 – ident: 224_CR7 doi: 10.5040/9798400647055 – volume: 180 start-page: 29 issue: 1–2 year: 2002 ident: 224_CR25 publication-title: Math Biosci doi: 10.1016/S0025-5564(02)00108-6 – volume: 84 start-page: 99 issue: 2 year: 1984 ident: 224_CR9 publication-title: Philos Trans R Soc Lond B doi: 10.1098/rstb.1984.0112 – year: 2015 ident: 224_CR23 publication-title: BioMed Res Int doi: 10.1155/2015/659651 – volume: 379 start-page: 607 year: 2007 ident: 224_CR28 publication-title: Phys A doi: 10.1016/j.physa.2007.01.010 – volume: 46 start-page: 806 issue: 5–6 year: 2007 ident: 224_CR12 publication-title: Math Comput Model doi: 10.1016/j.mcm.2006.12.010 – volume: 4 start-page: 327 year: 2004 ident: 224_CR3 publication-title: Lancet Infect Dis doi: 10.1016/S1473-3099(04)01043-6 – volume: 13 start-page: 487 issue: 4 year: 1999 ident: 224_CR18 publication-title: AIDS doi: 10.1097/00002030-199903110-00007 – volume: 125 start-page: 215 year: 2003 ident: 224_CR27 publication-title: J Dyn Syst doi: 10.1115/1.1568121 – volume: 203 start-page: 691 issue: 5 year: 2011 ident: 224_CR10 publication-title: J Infect Dis doi: 10.1093/infdis/jiq049 – volume: 20 start-page: 278 year: 2014 ident: 224_CR5 publication-title: Clin Microbiol Infect doi: 10.1111/1469-0691.12597 – volume: 18 start-page: 547 year: 2004 ident: 224_CR16 publication-title: AIDS doi: 10.1097/00002030-200402200-00023 – volume: 195 start-page: 641 year: 2008 ident: 224_CR13 publication-title: Appl Math Comput doi: 10.1016/j.amc.2007.05.016 – volume: 50 start-page: 347 year: 1974 ident: 224_CR29 publication-title: Bull World Health Organ – volume: 6 start-page: 333 year: 2009 ident: 224_CR31 publication-title: Math Biosci Eng doi: 10.3934/mbe.2009.6.333 |
| SSID | ssj0002140249 ssib031263557 |
| Score | 2.3807528 |
| Snippet | We propose a delay fractional order model for the co-infection of malaria and the human immunodeficiency virus, where personal protection and vaccination... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 168 |
| SubjectTerms | Acquired immune deficiency syndrome AIDS Complexity Computer simulation Control Control and Systems Theory Delay Dynamical Systems Engineering HIV Human immunodeficiency virus Infections Malaria Mathematical models Vibration Viruses |
| Title | A delay fractional order model for the co-infection of malaria and HIV/AIDS |
| URI | https://link.springer.com/article/10.1007/s40435-016-0224-3 https://www.proquest.com/docview/1880765625 |
| Volume | 5 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5Bu8DAG1EoyAMTyCWx4zzGCFpaKrHQojJFthNLCEhRHwP8euw0LqUCpI5RbCs5-86fdZ-_AziXKRGpyyl2I8awl1KhfS51MKM8cpkI_ZAXbIt7v9337gZsUN7jHlu2u01JFpF6ftnN6MAYopkhzRIP03WoavjhsApU49unbtMuI-oagZUymWcCMtGHCFIAYWIqExI_HNj85m_j_tyhvmHnUqa02IBa29Cznz7jnbw0phPRkJ9Lqo4r_tsObJWAFMWzFbQLa1m-B5sLMoX70I2R0ZL8QGo0uwah2xeSnaioo4M07kUaRyI5xJbblaOhQm9cH5ufOeJ5itqdx6u4c_NwAP1Ws3fdxmURBiw19KM41W4pA72NsYwqojg3xg1dypVwJJUy1A9EO3JgZHO8TLoiUp4vdWzgjnAIp4dQyYd5dgRIsSzScTkSmS895vicK8WcNApYpFGRG9TAsYZPZKlQbgplvCZzbeXCTolhpRk7JbQGF_Mu7zN5jv8a1-1sJqWnjhOjRxf45hhYg0s7OQuv_xrseKXWJ7BBDB4oyGt1qExG0-xUo5mJOCtX7xdsE-O1 |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5BOwADb0ShgAcmUCCx4zzGildLoQstKlNkO7GEgBSVMsCv55zGBSpAYoziRMnZd_5O9_k7gH2VUpl6gjlezLnjp0yiz6Wuw5mIPS6jIBIF26ITNHv-ZZ_3y3PcL5btbkuSRaSeHHYzOjCGaGZIs9R32CxUfUzBMeOqNi7u2md2GTHPCKyUxTwTkCkmEbQAwtR0JqRB1Lf1zZ_e-32H-oSdU5XSYgM6X4Ku_fQx7-Th6HUkj9T7lKrjP_9tGRZLQEoa4xW0AjNZvgoLX2QK16DdIEZL8o3o4fgYBI4vJDtJ0UeHIO4liCOJGjiW25WTgSZPAtPme0FEnpJm6_a40Tq9WYfe-Vn3pOmUTRgchdCPOSm6pQpxG-MZ01QLYYwbeUxo6SqmVIQXFB05NLI5fqY8GWs_UBgbhCtdKtgGVPJBnm0C0TyLMS7HMguUz91ACK25m8YhjxEVeWENXGv4RJUK5aZRxmMy0VYu7JQYVpqxU8JqcDB55Hksz_HX4LqdzaT01JfE6NGFgUkDa3BoJ-fL7d9etvWv0Xsw1-xeXyVXrU57G-apwQYFka0OldHwNdtBZDOSu-VK_gBG_eak |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFD7oBqIP3sV5zYNPSrc2aXp5HOrcnAxBJ_OpJmkDonZjmw_6603aZs6hgvhYmgRyOSdfON_5DsCRiDGPHUYsJ6TUcmPClc3FtkUJCx3KAy9gGdui4zW77mWP9oo6pyPDdjchyTynQas0pePaIJa1SeKb1oTRpDNNoMWuReah7NqBH5SgXL-4b5-bI0UcLbZSBPa0c8bqQYEzUIx1lULsBT0T6_xu3K-31ScEnYmaZpdRYwUezDRyDspT9XXMq-J9RuHxH_NcheUCqKJ6frLWYC5J12FpSr5wA9p1pDUm35Ac5ukRqn0m5Ymy-jpI4WGk8CUSfctwvlLUl-iFqef0I0MsjVGzdVert85uNqHbOL89bVpFcQZLKEhIrFiZq_DV9UYTIrFkTC904BAmuS2IEIH6wMrAfS2n4ybC4aF0PaF8BrO5jRnZglLaT5NtQJImofLXIU884VLbY0xKasehT0OFlhy_ArbZhEgUyuW6gMZzNNFcztYp0mw1vU4RqcDxpMsgl-34rfGe2dmosOBRpHXqfE8_DytwYjZq6vdPg-38qfUhLFyfNaKrVqe9C4tYQ4aM37YHpfHwNdlXgGfMD4pD_QHJ_O-I |
| 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=A+delay+fractional+order+model+for+the+co-infection+of+malaria+and+HIV%2FAIDS&rft.jtitle=International+journal+of+dynamics+and+control&rft.au=Carvalho%2C+Ana&rft.au=Pinto%2C+Carla+M.+A.&rft.date=2017-03-01&rft.issn=2195-268X&rft.eissn=2195-2698&rft.volume=5&rft.issue=1&rft.spage=168&rft.epage=186&rft_id=info:doi/10.1007%2Fs40435-016-0224-3&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s40435_016_0224_3 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2195-268X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2195-268X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2195-268X&client=summon |