Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-03940-w

Authors: Shulin Sun, Xiangqing Xing, Cuihua Guo

Institutions: Shanxi Normal University, Shanxi University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Estimated APC paid: $1,890

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shanxi Province