Deterministic and stochastic model for the hepatitis C with different types of virus genome-Reference-Cited by-同舟云学术

Deterministic and stochastic model for the hepatitis C with different types of virus genome

Published:2022 Issue:7 Volume:7 Page:11905-11918
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alnafisah Yousef¹,El-Shahed Moustafa²

Affiliation:

1. Department of Mathematics, College of Sciences, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia

2. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, P.O. Box 3771, Unaizah 51911, Saudi Arabia

Abstract

<abstract><p>In this paper, a deterministic and stochastic model for hepatitis C with different types of virus genomes is proposed and analyzed. Some sufficient conditions are obtained to ensure the stability of the deterministic equilibrium points. We perform a stochastic extension of the deterministic model to study the fluctuation between environmental factors. Firstly, the existence of a unique global positive solution for the stochastic model is investigated. Secondly, sufficient conditions for the extinction of the hepatitis C virus from the stochastic system are obtained. Theoretical and numerical results show that the smaller white noise can ensure the persistence of susceptible and infected populations while the larger white noise can lead to the extinction of disease. By introducing the basic reproduction number $ R_0 $ and the stochastic basic reproduction number $ R_0^s $, the conditions that cause the disease to die out are indicated. The importance of environmental noise in the propagation of hepatitis C viruses is highlighted by these findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference48 articles.

1. S. Allegretti, I. M. Bulai, R. Marino, M. A. Menandro, K. Parisi, Vaccination effect conjoint to fraction of avoided contacts for a SARS-CoV-2 mathematical model, Math. Model. Numer. Simul. Appl., 1 (2021), 56–66. https://doi.org/10.53391/mmnsa.2021.01.006

2. Y. Alnafisah, The implementation of milstein scheme in two-dimensional SDEs using the fourier method, Abstr. Appl. Anal., 2018 (2018). https://doi.org/10.1155/2018/3805042

3. Y. A. Alnafisah, Comparison between milstein and exact coupling methods using MATLAB for a particular two-dimensional stochastic differential equation, J. Inform. Sci. Eng., 36 (2020), 1223–1232.

4. I. Bashkirtseva, L. Ryashko, T. Ryazanova, Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model, Chaos Soliton. Fract., 131 (2020), 109549. https://doi.org/10.1016/j.chaos.2019.109549

5. B. Berrhazi, M. El Fatini, A. Lahrouz, A. Settati, R. Taki, A stochastic SIRS epidemic model with a general awareness-induced incidence, Physica A, 512 (2018), 968–980. https://doi.org/10.1016/j.physa.2018.08.150

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3. Correction: Deterministic and stochastic model for the hepatitis C with different types of virus genome;AIMS Mathematics;2022