Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7375964 | Physica A: Statistical Mechanics and its Applications | 2018 | 25 Pages |
Abstract
In this paper, we propose a predator-prey model with herd behavior and prey-taxis. Then, we analyze the stability and bifurcation of the positive equilibrium of the model subject to the homogeneous Neumann boundary condition. By using an abstract bifurcation theory and taking prey-tactic sensitivity coefficient as the bifurcation parameter, we obtain a branch of stable nonconstant solutions bifurcating from the positive equilibrium. Our results show that prey-taxis can yield the occurrence of spatial patterns.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xia Liu, Tonghua Zhang, Xinzhu Meng, Tongqian Zhang,