Spatiotemporal patterns induced by cross-diffusion in predator prey model with prey herd shape effect

作     者：Salih Djilali 

作者机构：Faculty of Exact Sciences and Informatics Mathematics DepartmentUniversity of Chief Laboratoire D'nalyse Non-Lineaire et Mathematiques Appliquees Universite de TlemcenTlemcenAlgerie 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2020年第13卷第4期

页      面：233-270页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Mathematical biology bifurcation pattern formation asymptotic behavior of solutions 

摘      要：In this paper,we investigate a predator-prey model with herd behavior and cross-diffusion subject to the zero flux boundary ***,the temporal behavior of the model has been investigated,where Hopf bifurcation has been ***,by analyzing the characteristic equation it has been proved that the cross-diffusion generate a complex dynamics such as Hopf bifurcation,Turing instability,even Turing-Hopf ***,the impact of the prey herd shape on the spatiotemporal patterns has been ***,by computing and analyzing the normal form associated with the Turing-Hopf bifurcation point,the spatiotemporal dynamics near the Turing-Hopf bifurcation point has been discussed and allso justified by some numerical simulations.