期刊
APPLIED MATHEMATICS LETTERS
卷 134, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108300
关键词
Predator-prey model; Fear factor; Stochastic perturbation; Stationary distribution; Extinction
In this paper, a stochastic eco-epidemiological predator-prey model is presented and analyzed, investigating the influence of anti-predator behavior due to fear induced from predators. Through mathematical analysis, important results regarding the model have been obtained.
Dynamics of predator-prey systems is of great importance in ecosystems. In this paper, we present and analyse a stochastic eco-epidemiological predator-prey model where the influence of anti-predator behaviour is investigated due to the fear induced from the predators. Through mathematical analysis, it has been observed that the model has a unique and global positive solution. Sufficient criteria are established for the existence and ergodicity of a unique stationary distribution. Moreover, stochastic extinction for the whole eco-epidemiological system or only the infectious disease have been analysed.
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