交叉扩散和双Allee效应驱动下捕食-猎物系统的斑图演化OA

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.