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Stability dynamics of a delayed generalized Chikungunya virus infection model
Journal of Applied Mathematics and Computing ( IF 2.2 ) Pub Date : 2020-07-18 , DOI: 10.1007/s12190-020-01405-9
Taofeek O. Alade , Ahmed M. Elaiw , Saud M. Alsulami

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.



中文翻译:

迟发性广义基孔肯雅病毒感染模型的稳定性动力学

本文建立并分析了一般的非线性基孔肯雅病毒动力学模型。我们假设,所有隔室的产生,去除和增殖率以及感染的发生率均由满足一组合理条件的一般非线性函数建模。该模型由两种类型的离散时间延迟合并而成。我们证明了模型解的非负性和有界性。我们通过构建合适的Lyapunov泛函建立了模型稳态的全局稳定性。进行数值模拟以说明我们的理论结果。研究了时间延​​迟对病毒动力学的影响。

更新日期:2020-07-24
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