具有恐惧效应和 Holling III 功能性反应的随机捕食-食饵系统

Abstract

Abstract:

A stochastic predator-prey system with fear effect and Holling-type III functional response is studied. Firstly, the existence and uniqueness of global positive solutions, mean boundedness and stochastic ultimate boundedness of the system for any given positive initial value are proved. Secondly, the sufficient conditions for extinction and persistence in mean of the prey and predator populations are obtained, and Lyapunov function is constructed to prove the existence of stationary distribution and ergodicity. Finally, the results are verified by numerical simulations.

Key words: Fear effect, Predator-prey system, Holling-type III functional response, Extinction and persistence, Stationary distribution

CLC Number:

O211.63

Wang Qiufen, Zhang Shuwen. Stochastic Predator-Prey System with Fear Effect and Holling-Type III Functional Response[J].Acta mathematica scientia,Series A, 2024, 44(5): 1380-1391.

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Stochastic Predator-Prey System with Fear Effect and Holling-Type III Functional Response

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