Abstract
This paper is concerned with a ratio-dependent predator-prey system with diffusion and cross-diffusion in a bounded domain with no flux boundary condition. We show that under certain hypotheses, the cross-diffusion can create non-constant positive steady states even though the corresponding model without cross-diffusion fails.
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Supported in part by the National Natural Science Foundation of China under Grant No.11601542 and 11626238.
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Zhao, Jf., Zhang, Ht. & Yang, J. Stationary patterns of a ratio-dependent prey-predator model with cross-diffusion. Acta Math. Appl. Sin. Engl. Ser. 33, 497–504 (2017). https://doi.org/10.1007/s10255-017-0677-y
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DOI: https://doi.org/10.1007/s10255-017-0677-y