Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jde.2004.01.004
Title: Strategy and stationary pattern in a three-species predator-prey model
Authors: Pang, P.Y.H. 
Wang, M.
Keywords: Cross diffusion
Predator-prey model
Stationary pattern
Strongly coupled elliptic system
Issue Date: 10-Jun-2004
Citation: Pang, P.Y.H., Wang, M. (2004-06-10). Strategy and stationary pattern in a three-species predator-prey model. Journal of Differential Equations 200 (2) : 245-273. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jde.2004.01.004
Abstract: In this paper, we study a strongly coupled system of partial differential equations which models the dynamics of a two-predator-one-prey ecosystem in which the prey exercises a defense switching mechanism and the predators collaboratively take advantage of the prey's strategy. We demonstrate the emergence of stationary patterns for this system, and show that it is due to the cross diffusion that arises naturally in the model. As far as the authors are aware, this is the first example of stationary patterns in a predator - prey system arising solely from the effect of cross diffusion. © 2004 Elsevier Inc. All rights reserved.
Source Title: Journal of Differential Equations
URI: http://scholarbank.nus.edu.sg/handle/10635/104203
ISSN: 00220396
DOI: 10.1016/j.jde.2004.01.004
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