ASYMPTOTIC PROPERTIES OF A STOCHASTIC ECO-EPIDEMIOLOGICAL MODEL WITH FEAR EFFECT AND HUNTING COOPERATION

Qixing Han; Lidong Zhou

doi:10.11948/20240374

2025 Volume 15 Issue 4

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Qixing Han, Lidong Zhou. ASYMPTOTIC PROPERTIES OF A STOCHASTIC ECO-EPIDEMIOLOGICAL MODEL WITH FEAR EFFECT AND HUNTING COOPERATION[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 1975-1995. doi: 10.11948/20240374

Citation:

Qixing Han, Lidong Zhou. ASYMPTOTIC PROPERTIES OF A STOCHASTIC ECO-EPIDEMIOLOGICAL MODEL WITH FEAR EFFECT AND HUNTING COOPERATION[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 1975-1995. doi: 10.11948/20240374

ASYMPTOTIC PROPERTIES OF A STOCHASTIC ECO-EPIDEMIOLOGICAL MODEL WITH FEAR EFFECT AND HUNTING COOPERATION

Qixing Han^1,2, ,,
Lidong Zhou^2,

1.
School of Mathematics, Jilin University, Changchun 130012, China
2.
School of Mathematics, Changchun Normal University, Changchun 130032, China

Author Bio: Email: zhoulidong2000@163.com(L. Zhou)
Corresponding author: Email: hanqixing123@163.com(Q. Han)
Fund Project: The authors were supported by Foundation of Jilin Province Science and Technology Development (YDZJ202501ZYTS615), Scientific Rsearch Foundation of Jilin Provincial Education Department (JJKH20251033KJ), NSF of China (No. 11801041)

Abstract

Abstract

In this paper, we put forward and analyze a stochastic eco- epidemiological model with disease in the prey population, which incorporates fear effect of predators on prey and hunting cooperation among predators. We find out sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by using the stochastic Lyapunov function methods. Moreover, we also derive sufficient criteria for extinction of the infected prey population and the predator population. Additionally, we give the specific expression of the probability density function of the stochastic model near the unique endemic quasi-equilibrium by solving the Fokker-Planck equation. In the end, the supporting theoretical results are verified by numerical simulation.
- Stochastic eco-epidemiological model /
- hunting cooperation functional response /
- stationary distribution and ergodicity /
- extinction /
- density function
MSC: 60H10, 92B05

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References

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