Dynamical Analysis of a Fractional-Order Hantavirus Infection Model

Author:

Moustafa Mahmoud1ORCID,Hafiz Mohd Mohd1,Izani Ismail Ahmad1,Aini Abdullah Farah1

Affiliation:

1. School of Mathematical Sciences , Universiti Sains Malaysia 11800 USM , Penang , Malaysia

Abstract

Abstract This paper considers a Hantavirus infection model consisting of a system of fractional-order ordinary differential equations with logistic growth. The fractional-order model describes the spread of Hantavirus infection in a system consisting of a population of susceptible and infected mice. The existence, uniqueness, non-negativity and boundedness of the solutions are established. In addition, the local and global asymptotic stability of the equilibrium points of the fractional order system and the basic reproduction number are studied. The impact of basic reproduction number and carrying capacity on the stability of the fractional order system are also theoretically and numerically investigated.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Analysis of the Hanta virus lethal process and the antibiotic treatment process based on the ordinary differential equation;Third International Conference on Biological Engineering and Medical Science (ICBioMed2023);2024-01-08

2. A computational approach for numerical simulations of the fractal–fractional autoimmune disease model;Chaos, Solitons & Fractals;2022-12

3. Stochastic Analysis of a Hantavirus Infection Model;Mathematics;2022-10-12

4. Dynamical behavior of a fractional-order prey–predator model with infection and harvesting;Journal of Applied Mathematics and Computing;2022-03-31

5. Impact of media coverage on a fractional-order SIR epidemic model;International Journal of Modeling, Simulation, and Scientific Computing;2021-12-28

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3