Gao Yongxin, Yang Fan
College of Science, Civil Aviation University of China, Tianjin, People's Republic of China.
J Biol Dyn. 2022 Dec;16(1):117-143. doi: 10.1080/17513758.2022.2050313.
This paper is concerned with a modified Leslie-Gower and Holling-type II two-predator one-prey model with Lévy jumps. First, we use an Ornstein-Uhlenbeck process to describe the environmental stochasticity and prove that there is a unique positive solution to the system. Moreover, sufficient conditions for persistence in the mean and extinction of each species are established. Finally, we give some numerical simulations to support the main results.
本文研究了一个具有Lévy跳跃的修正Leslie - Gower和Holling - II型双捕食者单猎物模型。首先，我们用一个奥恩斯坦 - 乌伦贝克过程来描述环境随机性，并证明该系统存在唯一的正解。此外，还建立了各物种均值持续生存和灭绝的充分条件。最后，我们给出一些数值模拟来支持主要结果。
