Analysis of latent CHIKV dynamics models with general incidence rate and time delays

被引：25
|
作者：
Elaiw, Ahmed M. [1 ]
Alade, Taofeek O. [1 ]
Alsulami, Saud M. [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
来源：
JOURNAL OF BIOLOGICAL DYNAMICS | 2018年 / 12卷 / 01期
关键词：
Global stability; Chikungunya virus infection; general incidence rate; Lyapunov function; HIV-INFECTION MODELS; DISTRIBUTED INTRACELLULAR DELAYS; TO-CELL TRANSMISSION; CTL IMMUNE-RESPONSE; GLOBAL STABILITY; MATHEMATICAL-ANALYSIS; CHIKUNGUNYA-DISEASE; HOPF-BIFURCATION; VIRAL-INFECTIONS; PROGRESSION;
D O I：
10.1080/17513758.2018.1503349
中图分类号：
Q14 [生态学（生物生态学）];
学科分类号：
071012 ; 0713 ;
摘要：
In this paper, we study the stability analysis of latent Chikungunya virus (CHIKV) dynamics models. The incidence rate between the CHIKV and the uninfected monocytes is modelled by a general nonlinear function which satisfies a set of conditions. The model is incorporated by intracellular discrete or distributed time delays. Using the method of Lyapunov function, we established the global stability of the steady states of the models. The theoretical results are confirmed by numerical simulations.
引用
收藏
页码：700 / 730
页数：31
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