Strategy and stationary pattern in a three-species predator–prey model
@article{Pang2004StrategyAS, title={Strategy and stationary pattern in a three-species predator–prey model}, author={Peter Y. H. Pang and M. Wang}, journal={Journal of Differential Equations}, year={2004}, volume={200}, pages={245-273} }
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… CONTINUE READING
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References
SHOWING 1-10 OF 50 REFERENCES
Singular perturbation approach to a 3-component reaction-diffusion system arising in population dynamics
- Mathematics
- 1998
- 55
Coexistence of species in a defensive switching model.
- Mathematics, Medicine
- Mathematical biosciences
- 2003
- 17
An interfacial approach to regional segregation of two competing species mediated by a predator
- Biology, Physics
- 1991
- 20
Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
- Mathematics
- 2004
- 92
Stationary patterns created by cross-diffusion for the competitor–competitor–mutualist model☆
- Mathematics
- 2004
- 39