Effects of cross-diffusion for a prey-predator system in a heterogeneous environment
This article concerns the stationary problem of a cross-diffusion prey-predator system with a protection zone for the prey. We first give the necessary condition and sufficient condition for the existence of coexistence states of the two species, by applying the bifurcation theory. Furthermore,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/44/abstr.html |
| Summary: | This article concerns the stationary problem of a cross-diffusion
prey-predator system with a protection zone for the prey.
We first give the necessary condition and sufficient condition
for the existence of coexistence states of the two species,
by applying the bifurcation theory. Furthermore, the asymptotic
behavior of coexistence states is established as the cross-diffusion
coefficient of the prey tends to infinity. We also analyze the
corresponding limiting system. |
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| ISSN: | 1072-6691 |