Strategy and stationary pattern in a three-species predator–prey model
By Peter Y. H. Pang, Mingxin Wang. 2004
236 citations recorded by the source corpus.
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.
Subfields: Computer Networks and Communications, Genetics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/168593ae6b06e47e4525d8b114291b067cf92a66
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In Computer Networks and Communications
In Genetics
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Global asymptotic stability of a ratio-dependent predator-prey system with diffusion (2006, background): “Just as pointed out in [20], the classical predator–prey model, reflects only population changes due to predation in a situation where predator and prey densities are not spatially dependent.”
- Cross-diffusion induced Turing instability for a three species food chain model (2012, unknown): “The authors of [21] studied the system for K(u) = diag(d1 + k +u(2)2 ,d2,d3)u and G(u) = ( u1 ( −1 + u2u3 u1 + u2 ) , u2 ( −α + βu1u3 u1 + u2 ) , u3 ( r − u3 − (1 + β)u1u2 u1 + u2 )) .”