| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7222099 | Nonlinear Analysis: Real World Applications | 2018 | 30 Pages |
Abstract
A diffusive predator-prey system with predator functional response subject to Neumann boundary conditions is considered. Existence, nonexistence, and boundedness of non-constant positive steady state solutions are shown to identify the ranges of parameters of spatial pattern formation. Hopf and steady-state bifurcation analyses are carried out in detail. These results provide theoretical evidences to the complex spatio-temporal dynamics found by numerical simulation.
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Authors
Shangjiang Guo,