Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
复制标题
具有群体行为和交叉扩散的捕食者-被捕食者模型的图灵-霍普夫分岔分析
DOI：
10.1007/s11071-016-2873-3
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发表时间：
2016
影响因子：
5.6
通讯作者：
Zhang Tonghua
中科院分区：
文献类型：
--
作者：
Tang Xiaosong;Song Yongli;Zhang Tonghua
In this paper, we consider a predator–prey model with herd behavior and cross-diffusion subject to homogeneous Neumann boundary condition. Firstly, the existence and priori bound of a solution for the model without cross-diffusion are shown. Then, by computing and analyzing the normal form on the center manifold associated with the Turing–Hopf bifurcation, we find a wealth of spatiotemporal dynamics near the Turing–Hopf bifurcation point under suitable conditions. Furthermore, some numerical simulations to illustrate the theoretical analysis are carried out.
