具有一般发病率的季节性环境中HIV动态的周期轨迹

IF 0.7 Q2 MATHEMATICS
M. El Hajji, Rahmah Mohammed Alnjrani
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引用次数: 1

摘要

本文提出了包含一般非线性发病率的b细胞功能的人类免疫缺陷病毒(HIV)的五维非线性微分方程组。感染细胞室被细分为潜伏感染细胞、短寿命生产性感染细胞和长寿命生产性感染细胞三类。建立了模型的基本繁殖数,研究了模型平衡点的局部稳定性和全局稳定性。对模型参数进行了敏感性分析。最后,给出了一些数值模拟来说明理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Periodic Trajectories for HIV Dynamics in a Seasonal Environment With a General Incidence Rate
In this paper, we propose a five-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Finally, some numerical simulations are presented to illustrate the theoretical findings.
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来源期刊
CiteScore
1.30
自引率
10.00%
发文量
60
审稿时长
12 weeks
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