Modeling and stability analysis of HIV/HTLV-I co-infection  

作　　者：A.M.Elaiw N.H.AlShamrani 

机构地区：[1]Department of Mathematics Faculty of Science,King Abdulaziz University P.O.Box 80203,Jeddah 21589,Saudi Arabia [2]Department of Mathematics,Faculty of Science Al-Azhar University,Assiut Branch,Assiut,Egypt [3]Department of Mathematics Faculty of Science,University of Jeddah P.O.Box 80327,Jeddah 21589,Saudi Arabia

出　　处：《International Journal of Biomathematics》2021年第5期97-143,共47页生物数学学报（英文版）

摘　　要：Human immunodeficiency virus(HIV)and human T-Iymphotropic virus type I(HTLV-I)are two retroviruses that infect the susceptible CD4^(+)T cells.It is known that HIV and HTLV-I have in common a way of transmission through direct contact with certain body fluids related to infected individuals.Therefore,it is not surprising that a mono-infected person with one of these viruses can be co-infected with the other virus.In the literature,a great number of mathematical models has been presented to describe the within-host dynamics of HIV or HTLV-I mono-infection.However,the within-host dynamics of HIV/HTLV-I co-infection has not been modeled.In this paper,we develop a new within-host HIV/HTLV-I co-infection model.The model includes the impact of Cytotoxic T lymphocytes(CTLs)immune response,which is important to control the progression of viral co-infection.The model describes the interaction between susceptible CD4^(+)T cells,silent HIV-infected cells,active HIV-infected cells,silent HTLV-infected cells,Tax-expressing HTLV-infected cells,free HIV particles,HIV-specific CTLs and HTLV-specific CTLs.We first show the nonnegativity and boundedness of the model’s solutions and then we calculate all possible equilibria.We derive the threshold parameters which govern the existence and stability of all equilibria of the model.We prove the global asymptotic stability of all equilibria by utilizing Lyapunov function and LaSalle’s invariance principle.We have presented numerical simulations to illustrate the effectiveness of our main results.In addition,we discuss the effect of HTLV-I infection on the HIV-infected patients and vice versa.

关 键 词：HIV/HTLV-I co-infection global stability CTL-mediated immune response Lyapunov function 

分 类 号：O17[理学—数学]