具有长寿命慢性感染细胞的离散时间HIV动力学模型的稳定性

Journal of Nonlinear Sciences and Applications Pub Date : 2019-03-09 DOI:10.22436/JNSA.012.07.02

A. Elaiw, M. Alshaikh

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引用次数: 0

摘要

研究离散时间HIV感染模型的全局动力学问题。这些模型整合了长期慢性感染细胞和短期感染细胞。hiv易感发生率取双线性、饱和和一般函数。采用非标准有限差分格式对连续时间模型进行离散化。建立了解的正性和有界性。导出了基本复制数。利用Lyapunov方法证明了模型的全局稳定性。通过数值模拟来说明我们的理论结果。

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Stability of discrete-time HIV dynamics models with long-lived chronically infected cells

This paper studies the global dynamics for discrete-time HIV infection models. The models integrate both long-lived chronically infected and short-lived infected cells. The HIV-susceptible incidence rate is taken as bilinear, saturation and general function. We discretize the continuous-time models by using nonstandard finite difference scheme. The positivity and boundedness of solutions are established. The basic reproduction number is derived. By using Lyapunov method, we prove the global stability of the models. Numerical simulations are presented to illustrate our theoretical results.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

0.00%

发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.