Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7221997 | Nonlinear Analysis: Real World Applications | 2018 | 18 Pages |
Abstract
In this work, we study a spatially heterogeneous predator-prey model where the interaction is governed by a Holling II functional response. The existence of coexistence states of the two species by using the bifurcation theory is discussed. As a result, it is shown that the degeneracy for the prey and the predator has distinctly different effects on the coexistence states of the two species when the intrinsic growth rate of the prey is above a certain critical value. We also study the asymptotic behavior of positive stationary solutions as the intrinsic growth rate of the predator tends to a certain critical value.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Shanbing Li, Jianhua Wu, Yaying Dong,