食饵具有扩散和恐惧效应的捕食–食饵模型的稳定性分析  

Stability Analysis of Predator-Prey Model with Dispersal and Fear Effect

作　　者：刘婷婷 陈丽娟[1] 朱紫睿 

机构地区：[1]福州大学数学与统计学院,福建 福州

出　　处：《应用数学进展》2021年第11期3601-3612,共12页Advances in Applied Mathematics

摘　　要：本文提出了一个食饵具有恐惧效应和扩散的捕食–食饵模型,通过定性分析,得到系统详尽的稳定性性态。我们还研究了恐惧效应对系统动力学行为的影响,同时还发现扩散对捕食者和食饵的持久性也有很大的影响。数值模拟进一步验证理论分析的正确性。In this paper, we propose a predator-prey model with fear effect and diffusion. By making full use of qualitative analysis, we obtain the detailed dynamic behavior of the system. We also study the influence of fear effect on the system and find that diffusion has a large effect on the persistence of predator and prey. Numerical simulation further demonstrates the feasibility of our theoretical conclusion.

关 键 词：斑块扩散 恐惧效应 捕食–食饵系统 

分 类 号：O17[理学—数学]