一类具有恐惧效应的随机食物链模型
A Stochastic Food Chain Model with Fear E?ect
DOI: 10.12677/AAM.2023.1210441, PDF, 下载: 158  浏览: 203 
作者: 廖丽芳, 冯祖针：广西民族师范学院教育科学学院，广西 崇左
关键词: 恐惧效应；食物链模型；灭绝性；Fear E?ect； Food-Chain Model； Extinction
摘要: 本文建立了一类具有恐惧效应的三种群随机食物链模型. 首先研究了该模型全局唯一正解的存在 性，然后利用 Lyapunov 函数方法证明了解的有界性，最后利用随机比较原理得到了种群灭绝的 充分条件.
Abstract: A three-species stochastic food-chain model with fear effects is established. Firstly, the existence of the globally unique positive solution of the model is established. Then, the boundness of the solution is proved by Lyapunov function method. Finally, the sufficient condition of population extinction is obtained by stochastic comparison principle.
文章引用：廖丽芳, 冯祖针. 一类具有恐惧效应的随机食物链模型[J]. 应用数学进展, 2023, 12(10): 4501-4507. https://doi.org/10.12677/AAM.2023.1210441

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