应用数学和力学2026，Vol.47Issue(1)：90-100,11.DOI:10.21656/1000-0887.460002
交叉扩散和双Allee效应驱动下捕食-猎物系统的斑图演化
Pattern Evolution in a Predator-Prey System Driven by Cross-Diffusion and Double Allee Effects
摘要
Abstract
The Holling-Ⅱ functional responses and an improved Leslie-Gower term were considered to establish a cross-diffusion predator-prey model with double Allee effects.The existence and stability of positive equilibri-um points were analyzed in the absence of diffusion to provide conditions for Turing instability under the diffu-sion effects.The influential mechanisms of the double Allee effects on the pattern formation,the structural changes,and the evolutionary speed was mainly investigated.The findings reveal that,in stable diffusion-driven systems,the Allee effects can induce pattern formation;conversely,in unstable systems,the Allee effects can lead to structural changes in patterns.Additionally,the time required for the system to reach stable homogene-ous and mixed patterns varies with different Allee effects coefficients,indicating that the Allee effects can sig-nificantly alter the evolutionary speed of patterns.Therefore,the double Allee effects plays a crucial role in the formation and evolution of Turing patterns in predator-prey systems.关键词
双Allee效应/交叉扩散/Holling-Ⅱ型功能反应/Leslie-Gower/Turing斑图Key words
double Allee effect/cross-diffusion/Holling-Ⅱ functional response/Leslie-Gower/Turing pattern分类
数理科学引用本文复制引用
阳锋,肖敏,杨正午,段代凤,杨鑫松,曹进德..交叉扩散和双Allee效应驱动下捕食-猎物系统的斑图演化[J].应用数学和力学,2026,47(1):90-100,11.基金项目
国家自然科学基金(62073172) （62073172）
江苏省自然科学基金(BK20221329) （BK20221329）
