|
| Nonexistence of Nonconstant Positive SteadyStates of a Diffusive Predator-prey Model withFear Effect |
| |
| View Full Text View/Add Comment Download reader |
| KeyWord:Reaction-diffusion fear effect flobal stability nonexistence of
nonconstant steady states |
| Author Name | Affiliation | | Shanshan Chen | Department of Mathematics, Harbin Institute of Technology, Weihai, Shan-
dong 264209, China | | Zonghao Liu | Department of Mathematics, Harbin Institute of Technology, Weihai, Shan-
dong 264209, China | | Junping Shi | Department of Mathematics, Harbin Institute of Technology, Weihai, Shan-
dong 264209, China |
|
| Hits: 377 |
| Download times: 520 |
| Abstract: |
| In this paper, we investigate a diffusive predator-prey model with
fear effect. It is shown that, for the linear predator functional response case,the positive constant steady state is globally asymptotically stable if it ex-ists. On the other hand, for the Holling type II predator functional response
case, it is proved that there exist no nonconstant positive steady states for
large conversion rate. Our results limit the parameters range where complex
spatiotemporal pattern formation can occur. |
|
|
|
