DYNAMICAL ANALYSIS OF A FRACTIONAL ORDER HCV INFECTION MODEL WITH ACUTE AND CHRONIC AND GENERAL INCIDENCE RATE

Yu Yang; Jueyu Wang; Shengliang Zhang; Tonghua Zhang

doi:10.11948/20210430

2022 Volume 12 Issue 6

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Yu Yang, Jueyu Wang, Shengliang Zhang, Tonghua Zhang. DYNAMICAL ANALYSIS OF A FRACTIONAL ORDER HCV INFECTION MODEL WITH ACUTE AND CHRONIC AND GENERAL INCIDENCE RATE[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2283-2298. doi: 10.11948/20210430

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Yu Yang, Jueyu Wang, Shengliang Zhang, Tonghua Zhang. DYNAMICAL ANALYSIS OF A FRACTIONAL ORDER HCV INFECTION MODEL WITH ACUTE AND CHRONIC AND GENERAL INCIDENCE RATE[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2283-2298. doi: 10.11948/20210430

DYNAMICAL ANALYSIS OF A FRACTIONAL ORDER HCV INFECTION MODEL WITH ACUTE AND CHRONIC AND GENERAL INCIDENCE RATE

1.
School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, 201209 Shanghai, China
2.
College of Economics and Management, Nanjing Forestry University, 210037 Nanjing, China
3.
Department of Mathematics, Swinburne University of Technology, Hawthorn, 3122 Victoria, Australia

Corresponding author: Email: yangyu@lixin.edu.cn(Y. Yang)

Abstract

Abstract

This paper is concerned with a fractional order HCV infection model with acute and chronic and general incidence rate. We first give the positivity and boundedness of the solution for this model. Then, we establish the dynamical behavior of this model in terms of $ \mathcal{R}_{0}^{\alpha} $. Numerical simulations are given to verify the obtained theoretical results.
- Fractional order /
- HCV infection model /
- global stability /
- Lyapunov function
MSC: 34A08, 92D25

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References

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