A delay fractional order model for the co-infection of malaria and HIV/AIDS

被引：7

作者：

Carvalho A. ^{[1
]}

Pinto C.M.A. ^{[2
]}

机构：

[1] Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre s/n, Porto

[2] School of Engineering, Polytechnic of Porto, Center of Mathematics of the University of Porto, Rua Dr António Bernardino de Almeida, 431, Porto

来源：

International Journal of Dynamics and Control | 2017年 / 5卷 / 01期

关键词：

FHIV; Fractional order model; Malaria;

D O I：

10.1007/s40435-016-0224-3

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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, ν2, the degree of sexual activity due to malaria, ϵ2, 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. © 2016, Springer-Verlag Berlin Heidelberg.

引用

页码：168 / 186

页数：18

共 32 条

[1]

Malaria and HIV interaction and their implications for public health police, (2004)

[2]

Center for Disease Control (CDC)

[3]

Hay S.I., Guerra C.A., Tatem A.J., Noor A.M., Snow R.W., The global distribution and population at risk of malaria: past, present, and future, Lancet Infect Dis, 4, pp. 327-336, (2004)

[4]

Center for Disease Control (CDC)

[5]

Van Geertruyden J.P., Interactions between malaria and human immunodefficiency virus anno 2014, Clin Microbiol Infect, 20, pp. 278-285, (2014)

[6]

Chandra G., Bhattacharjee I., Chatterjee S.N., Ghosh A., Mosquito control by larvivorous fish, Indian J Med Res, 127, pp. 13-27, (2008)

[7]

Hays J.N., Epidemics and pandemics: their impacts on human history, (2005)

[8]

Mutero C.M., Blank H., Konradsen F., van der Hoek W., Water management for controlling the breeding of Anopheles mosquitoes in rice irrigation schemes in Kenya, Acta Trop, 76, pp. 253-263, (2000)

[9]

Miller L.H., David P.H., Hadley T.J., Freeman R.R., Perspectives for malaria vaccination (and vaccination), Philos Trans R Soc Lond B, 84, 2, pp. 99-115, (1984)

[10]

Bardaji A., Sigauque B., Sanz S., Maixenchs M., Ordi J., Aponte J.J., Mabunda S., Alonso P.L., Menendez C., Impact of malaria at the end of pregnancy on infant mortality and morbidity, J Infect Dis, 203, 5, pp. 691-699, (2011)

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