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<p>In an ecosystem, besides the basic relationships among populations within a community, many environmental factors may affect species growth. Accordingly, on the basis of predation fear and prey refuge, a stochastic competition model with impulsive effects is formulated and studied in this paper. First, by constructing the appropriate Lyapunov function, the existences of a unique global positive solution for the stochastic system is demonstrated. Then, using Itô formula, the stochastic Lyapunov function and some important inequalities, the sufficient conditions of extinction, non-mean persistence, mean persistence, random persistence and global attraction of the system are established. Finally, numerical simulations are implemented to comprehend the obtained results and illustrate the pivotal influence of the cost of fear, the strength of prey refuge, the environmental noise and the pulse interference on the predator population.</p>

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Effect of fear and prey refuge on a stochastic competitive model with impulse

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月31日

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  • Shulin Sun,
  • Xiangqing Xing,
  • Cuihua Guo

摘要

In an ecosystem, besides the basic relationships among populations within a community, many environmental factors may affect species growth. Accordingly, on the basis of predation fear and prey refuge, a stochastic competition model with impulsive effects is formulated and studied in this paper. First, by constructing the appropriate Lyapunov function, the existences of a unique global positive solution for the stochastic system is demonstrated. Then, using Itô formula, the stochastic Lyapunov function and some important inequalities, the sufficient conditions of extinction, non-mean persistence, mean persistence, random persistence and global attraction of the system are established. Finally, numerical simulations are implemented to comprehend the obtained results and illustrate the pivotal influence of the cost of fear, the strength of prey refuge, the environmental noise and the pulse interference on the predator population.