Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 392435, 7 pages.
Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay
A predator-prey model with both cross diffusion and time delay is considered. We give the conditions for emerging Turing instability in detail. Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dynamics exhibits a delay and diffusion controlled formation growth not only of spots and stripe-like patterns, but also of the two coexist. The obtained results show that this system has rich dynamics; these patterns show that it is useful for the diffusive predation model with a delay effect to reveal the spatial dynamics in the real model.
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 392435, 7 pages.
First available in Project Euclid: 2 October 2014
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Xie, Boli; Wang, Zhijun; Xue, Yakui. Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 392435, 7 pages. doi:10.1155/2014/392435. https://projecteuclid.org/euclid.aaa/1412279773