Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease.

IF 4.1 3区数学 Q1 Mathematics

Advances in Difference Equations Pub Date : 2020-01-01 Epub Date: 2020-11-25 DOI:10.1186/s13662-020-03116-8

Ali Raza, Ali Ahmadian, Muhammad Rafiq, Soheil Salahshour, Muhammad Naveed, Massimiliano Ferrara, Atif Hassan Soori

引用次数: 14

Abstract

In this manuscript, we investigate a nonlinear delayed model to study the dynamics of human-immunodeficiency-virus in the population. For analysis, we find the equilibria of a susceptible-infectious-immune system with a delay term. The well-established tools such as the Routh-Hurwitz criterion, Volterra-Lyapunov function, and Lasalle invariance principle are presented to investigate the stability of the model. The reproduction number and sensitivity of parameters are investigated. If the delay tactics are decreased, then the disease is endemic. On the other hand, if the delay tactics are increased then the disease is controlled in the population. The effect of the delay tactics with subpopulations is investigated. More precisely, all parameters are dependent on delay terms. In the end, to give the strength to a theoretical analysis of the model, a computer simulation is presented.

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延迟策略对HIV/AIDS疾病传播动力学影响的建模。

在这篇论文中，我们研究了一个非线性延迟模型来研究人类免疫缺陷病毒在人群中的动力学。为了进行分析，我们找到了一个具有延迟项的敏感-感染-免疫系统的平衡点。利用Routh-Hurwitz判据、Volterra-Lyapunov函数和Lasalle不变性原理等工具研究了模型的稳定性。研究了参数的再现数和灵敏度。如果拖延战术减少，那么这种疾病就是地方性的。另一方面，如果延迟策略增加，那么疾病在人群中得到控制。研究了具有亚种群的延迟策略的效果。更准确地说，所有参数都依赖于延迟项。最后，为了给模型的理论分析提供依据，进行了计算机仿真。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Difference Equations 数学-数学

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions. The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between. The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.