GLOBAL STABILITY OF AUTONOMOUS AND NONAUTONOMOUS HEPATITIS B VIRUS MODELS IN PATCHY ENVIRONMENT

Pengyan Liu; Hong-Xu Li

doi:10.11948/20190191

2020 Volume 10 Issue 5

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Pengyan Liu, Hong-Xu Li. GLOBAL STABILITY OF AUTONOMOUS AND NONAUTONOMOUS HEPATITIS B VIRUS MODELS IN PATCHY ENVIRONMENT[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 1771-1799. doi: 10.11948/20190191

Citation:

Pengyan Liu, Hong-Xu Li. GLOBAL STABILITY OF AUTONOMOUS AND NONAUTONOMOUS HEPATITIS B VIRUS MODELS IN PATCHY ENVIRONMENT[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 1771-1799. doi: 10.11948/20190191

GLOBAL STABILITY OF AUTONOMOUS AND NONAUTONOMOUS HEPATITIS B VIRUS MODELS IN PATCHY ENVIRONMENT

Pengyan Liu¹,
Hong-Xu Li^1, ,

1.
College of Mathematics, Sichuan University, Chengdu 610065, China

Corresponding author: Email address:hoxuli@scu.edu.cn(H. Li)
Fund Project: Supported by the National Natural Science Foundation of China (Nos. 11971329 and 11561077)

Abstract

Abstract

Autonomous and nonautonomous hepatitis B virus infection models in patchy environment are investigated respectively to illustrate the influences of population migration and almost periodicity for infection rate on the spread of hepatitis B virus. The basic reproduction number is determined and asymptotic stabilities of disease-free and endemic equilibria are established in case of autonomous system. Moreover, in the nonautonomous system case, existence and global attractivity of almost periodic solution for this system are studied. Finally, feasibility of main theoretical results is showed with the aid of numerical examples for model with two patches.
- HBV infection model /
- patchy environment /
- asymptotic stability /
- almost periodic solution
MSC: 34D23, 34C60, 37B55, 39A24

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References

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