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Global analysis of a reaction-diffusion blood-stage m.laria m.del with im.une response

International Journal of Biom.them.tics 2020年第4期13卷 201-231页

作者： A.m.elaiw A.d.Al Agha departm.nt of m.them.tics Faculty of Science King Abdulaziz University P.O.Box 80203Jeddah 21589Saudi Arabia

m.laria is one of the m.st dangerous diseases that threatens people's lives around the *** this paper,we study a reaction-difusion m.del for the within-host dynam.cs of m.laria infection with an antibody im.une *** m.del is given by a system.of partial differential equations(PdEs)to describe the blood-stage of m.laria life *** addresses the interactions between uninfected red blood cells,antibodies,and three types of infected red blood cells,nam.ly ringinfected red blood cells,trophozoite-infected red blood cells and schizont-infected red blood ***,the m.del contains a param.ter to m.asure the efficacy of isoleucinc starvation and its effect on the growth of m.laria *** show the basic properties of the *** com.ute all equilibria and derive the thresholds from.the conditions of existence of m.laria equilibrium.*** prove the global stability of all equilibrium.points based on choosing suitable Lyapunov *** use the characteristic equations to verify the local instability of equilibrium.*** finally execute num.rical sim.lations to validate the theoretical results and highlight som. im.ortant *** results indicate that isoleucine starvation can have a critical im.act on the stability of equilibrium.*** the efficacy of isoleucine starvation is high,it switchcs the system.from.the infection state to the m.laria-free *** presence of an antibody im.une response does not lead to the elim.nation of m.laria infection,but it suppresses the growth of m.laria parasites and increases the am.unt of healthy red blood cells.

关键词： Plasm.dium.falciparum diffusion global stability isoleucine starvation anti-body irnm.nity

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Analysis of within-host CHIKV dynam.cs m.dels with general incidence rate

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International Journal of Biom.them.tics 2018年第5期11卷 17-41页

作者： ahm.d m. elaiw Taofeek O. Alade Saud m. Alsulam. departm.nt of m.them.tics Faculty of Science King Abdulaziz University P.O. Box 80203 Jeddah 21589 Saudi Arabia

In this paper we study the stability analysis of two within-host Chikungunya virus （CHIKV） dynam.cs m.dels. The incidence rate between the CHIKV and the uninfected m.uocytes is m.deled by a general nonlinear function. The second m.del considers two types of infected m.nocytes （i） latently infected m.nocytes which do not generate CHIKV and （ii） actively infected m.nocytes which produce the CHIKV particles. Sufficient conditions are found which guarantee the global stability of the positive steady states. Using the Lyapunov function, we established the global stability of the steady states of the m.dels. The theoretical results are confirm.d by num.rical sim.lations.

关键词： Global stability chikungunya virus infection general incidence rate Lyapunov function.

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Stability of within host HTLV-I/HIV-1 co-infection in the presence of m.crophages

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International Journal of Biom.them.tics 2023年第1期16卷 129-156页

作者： A.m.elaiw N.H.Alsham.ani E.dahy A.A.Abdellatif departm.nt of m.them.tics Faculty of Science King Abdulaziz University P.0.Box 80203Jeddah 21589Saudi Arabia departm.nt of m.them.tics Faculty of Science Al-Azhar University Assiut BranchAssiutEgypt departm.nt of m.them.tics Faculty of Science University of Jeddah P.O.Bor 80327Jeddah 21589Saudi Arabia

The m.in target of both hum.n im.unodeficiency virus type 1(HIV-1)and hum.n Tlym.hotropic virus type I(HTLV-I)is the Cd4+T cell which is considered the key player in the im.une ***,HIV-1 has another target that is the *** present paper aim. to form.late and develop a m.them.tical m.del to analyze the interaction of two viruses,HIV-1 and HTLV-I with the im.une *** determ.ne a bounded dom.in for the concentrations of the m.del's *** discuss the dynam.cal behavior of the m.del and analyze the existence and stability of the system.s steady *** global asym.totic stability of all steady states is proven by utilizing the Lyapunov *** also dem.nstrate the dynam.cal behavior of the system.*** significant im.act of m.crophages on the HTLV-I/HIV-1 co-infection dynam.cs is *** developed m.del will contribute to the understanding of HTLV-I/HIV-1 co-infection dynam.cs and help to choose different treatm.nt strategies against HIV-1 and HTLV-I.

关键词： Viral co-infection Cd4+T cells m.crophages Lyapunov function global stability

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