Stability dynamics of a delayed generalized Chikungunya virus infection model

被引:8
作者
Alade, Taofeek O. [1 ]
Elaiw, Ahmed M. [1 ,2 ]
Alsulami, Saud M. [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Al Azhar Univ, Fac Sci, Dept Math, Assiut, Egypt
关键词
Chikungunya virus; Global stability; Time delays; General nonlinear function; Lyapunov functional; GLOBAL STABILITY; MATHEMATICAL-ANALYSIS; HIV-INFECTION; DISEASE;
D O I
10.1007/s12190-020-01405-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a general nonlinear Chikungunya virus (CHIKV) dynamics model is formulated and analyzed. We assume that, the production, removal and proliferation rates of all compartments as well as the incidence rate of infection are modeled by general nonlinear functions that satisfy a set of reasonable conditions. The model is incorporated by two types of discrete time delays. We prove the nonnegativity and boundedness of the solutions of the model. We established the global stability of the steady states of the model by constructing suitable Lyapunov functionals. The numerical simulations are performed to illustrate our theoretical results. The effect of time delay on the virus dynamics is studied.
引用
收藏
页码:575 / 595
页数:21
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