Effects of cross-diffusion for a prey-predator system in a heterogeneous environment
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Date
2019-03-22
Authors
Dong, Yaying
Li, Shanbing
Li, Yanling
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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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Keywords
Prey-predator model, Cross-diffusion, Protection zone, Stationary
Citation
Dong, Y., Li, S., & Li, Y. (2019). Effects of cross-diffusion for a prey-predator system in a heterogeneous environment. Electronic Journal of Differential Equations, 2019(44), pp. 1-14.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.