Qualitative analysis of a diffusive food web consisting of a prey and two predators
Bull. Korean Math. Soc. 2013 Vol. 50, No. 6, 1827-1840
https://doi.org/10.4134/BKMS.2013.50.6.1827
Published online November 1, 2013
Hong-Bo Shi
Huaiyin Normal University
Abstract : This paper is concerned with the positive steady states of a diffusive Holling type II predator-prey system, in which two predators and one prey are involved. Under homogeneous Neumann boundary conditions, the local and global asymptotic stability of the spatially homogeneous positive steady state are discussed. Moreover, the large diffusion of predator is considered by proving the nonexistence of non-constant positive steady states, which gives some descriptions of the effect of diffusion on the pattern formation.
Keywords : predator-prey system, positive steady state, large diffusion, Holling II type functional response, local/global asymptotic stability
MSC numbers : 35J60, 37B25, 92D25
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