A diffusive predator-prey model in heterogeneous environment |
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Authors: | Yihong Du Sze-Bi Hsu |
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Institution: | a School of Mathematics, Statistics and Computer Science, University of New England, Armidale, NSW2351, Australia b Department of Mathematics, National Tsinghua University, Hsinchu, Taiwan, Republic of China |
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Abstract: | In this paper, we demonstrate some special behavior of steady-state solutions to a predator-prey model due to the introduction of spatial heterogeneity. We show that positive steady-state solutions with certain prescribed spatial patterns can be obtained when the spatial environment is designed suitably. Moreover, we observe some essential differences of the behavior of our model from that of the classical Lotka-Volterra model that seem to arise only in the heterogeneous case. |
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Keywords: | 35J65 35J55 92D25 |
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