Analysis of within-host CHIKV dynamics models with general incidence rate

被引：29

作者：

Elaiw, Ahmed M. ^{[1
]}

Alade, Taofeek O. ^{[1
]}

Alsulami, Saud M. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 05期

关键词：

Global stability; chikungunya virus infection; general incidence rate; Lyapunov function; DISTRIBUTED INTRACELLULAR DELAYS; HIV-INFECTION MODELS; CTL IMMUNE-RESPONSE; GLOBAL PROPERTIES; CHIKUNGUNYA-DISEASE; MATHEMATICAL-ANALYSIS; POPULATION-DYNAMICS; HOPF-BIFURCATION; STABILITY; PROGRESSION;

D O I：

10.1142/S1793524518500626

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we study the stability analysis of two within-host Chikungunya virus (CHIKV) dynamics models. The incidence rate between the CHIKY and the uninfected monocytes is modeled by a general nonlinear function. The second model considers two types of infected monocytes (i) latently infected monocytes which do not generate CHIKV and (ii) actively infected monocytes 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 models. The theoretical results are confirmed by numerical simulations.

引用

页数：25

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