Asymptotic stability of solutions for a diffusive epidemic model-Reference-Cited by-同舟云学术

Asymptotic stability of solutions for a diffusive epidemic model

Published:2022-01-01 Issue:1 Volume:55 Page:553-573
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Bouaziz Khelifa¹,Douaifia Redouane²,Abdelmalek Salem³

Affiliation:

1. Department of Science and Technology, Larbi Tebessi University , Tebessa , Algeria

2. Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University , Tebessa , Algeria

3. Department of Mathematics and Computer, Larbi Tebessi University , Tebessa , Algeria

Abstract

Abstract The aim of this paper is to study the existence and the asymptotic stability of solutions for an epidemiologically emerging reaction-diffusion model. We show that the model has two types of equilibrium points to resolve the proposed system for a fairly broad class of nonlinearity that describes the transmission of an infectious disease between individuals. The model is analyzed by using the basic reproductive number

R 0

{R}_{0}

. Finally, we present the numerical examples simulations that clarifies and confirms the results of the study throughout the paper.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0150/pdf

Reference35 articles.

1. Z. U. A. Zafar, S. Zaib, M. T. Hussain, C. Tunç, and S. Javeed, Analysis and numerical simulation of tuberculosis model using different fractional derivatives, Chaos Solitons Fractals. 160 (2022), 112202, https://doi.org/10.1016/j.chaos.2022.112202.

2. Z. U. A. Zafar, L. Akinyemi, H. Rezazadeh, and M. Inc, Non-topological, topological and rogue wave Soliton solutions for Sharma Tasso Olver equation, J. Ocean Eng. Sci, (2022), https://doi.org/10.1016/j.joes.2022.04.028.

3. Z. U. A. Zafar, S. Younas, S. Zaib, and C. Tunç, An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis, Int. J. Biomath. 15 (2022), no. 4, 2250015, https://doi.org/10.1142/S1793524522500152.

4. Z. U. A. Zafar, M. T. Hussain, M. Inc, D. Baleanu, B. Almohsen, A. S. Oke, et al., Fractional-order dynamics of human papillomavirus, Results Phys. 34 (2022), 105281, https://doi.org/10.1016/j.rinp.2022.105281.

5. L. Chengxia and X. Zhou, Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection, Discrete Contin. Dyn. Syst. Ser. B 27 (2022), no. 6, 3077–3100, https://doi.org/10.3934/dcdsb.2021174.

Cited by 1 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. A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells;Healthcare Analytics;2024-06