Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4974230 | Journal of the Franklin Institute | 2016 | 15 Pages |
Abstract
In this paper, the spatiotemporal dynamics of a delayed diffusive prey-predator model with nonlinear predator harvesting is investigated. Through mathematical analysis, we obtain the conditions for Turing and Hopf bifurcation. Numerical simulations display a variety of spatial patterns including spots, strips, mixture of spots and strips, spiral, patchy structure, and chaos. The delay is found to have significant influence on the emergent spatial patterns, such as changing arm length and direction of strips, and accelerating the transformation of spatial patterns.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Jia Liu, Lai Zhang,