具有狩猎合作的随机捕食者-猎物生态流行病学模型

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-06-21 DOI:10.1016/j.aml.2024.109201

Haiqing Zhang, Zijian Liu, Yuanshun Tan, Yu Mu

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引用次数: 0

摘要

合作狩猎可以提高捕食者的狩猎能力。在这项工作中，我们研究了一个包含狩猎合作的随机生态流行病学捕食者-猎物模型。通过构建适当的辅助函数，我们建立了存在唯一遍历静态分布的充分标准。研究结果表明，当疫情长期存在时，合作狩猎对受感染捕食者的密度有显著影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A stochastic predator–prey eco-epidemiological model with hunting cooperation

Cooperative hunting can increase the predator’s hunting ability. In this work, we study a stochastic eco-epidemiological predator–prey model incorporating hunting cooperation. By constructing appropriate auxiliary functions, we establish a sufficient criterion for the existence of a unique ergodic stationary distribution. The findings imply that cooperative hunting has a significant effect on the density of infected predators when the epidemic is protracted.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.