STOCHASTIC BIFURCATION ANALYSIS IN A SIV EPIDEMIC MODEL WITH POPULATION MIGRATION

Weipeng Zhang; Fengjie Geng; Xinyu Meng; Hongpeng Zhang

doi:10.11948/20250062

2025 Volume 15 Issue 6

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Weipeng Zhang, Fengjie Geng, Xinyu Meng, Hongpeng Zhang. STOCHASTIC BIFURCATION ANALYSIS IN A SIV EPIDEMIC MODEL WITH POPULATION MIGRATION[J]. Journal of Applied Analysis & Computation, 2025, 15(6): 3704-3727. doi: 10.11948/20250062

Citation:

Weipeng Zhang, Fengjie Geng, Xinyu Meng, Hongpeng Zhang. STOCHASTIC BIFURCATION ANALYSIS IN A SIV EPIDEMIC MODEL WITH POPULATION MIGRATION[J]. Journal of Applied Analysis & Computation, 2025, 15(6): 3704-3727. doi: 10.11948/20250062

STOCHASTIC BIFURCATION ANALYSIS IN A SIV EPIDEMIC MODEL WITH POPULATION MIGRATION

1.
Department of Mathematics, Jinan University, 510632 Guangzhou, Guangdong, China
2.
School of Science, China University of Geosciences (Beijing), 100083 Beijing, China
3.
School of Mathematics and Statistics, Northeast Normal University, No. 5268 Renmin Street, 130024 Changchun, Jilin, China

Author Bio: Email: wpzhang@jnu.edu.cn(W. Zhang); Email: gengfengjie_hbu@163.com(F. Geng); Email: xymeng112@nenu.edu.cn(X. Meng)
Corresponding author: Email: zhanghp767@nenu.edu.cn(H. Zhang)

Abstract

Abstract

In this paper, we propose a stochastic SIV epidemic model with population migration and analyze its stochastic stability and bifurcation. By utilizing polar coordinate transformation, stochastic averaging method and singular boundary theory, we prove the stochastic local and global stability of the system. Moreover, we derive sufficient conditions for the system to undergo the stochastic pitchfork bifurcation and Hopf bifurcation. Finally, numerical simulations are performed to verify the theoretical results.
- Stochastic bifurcation /
- stochastic stability /
- epidemic model /
- invariant measure
MSC: 60H10, 65C20

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References

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