Stationary patterns of a ratio-dependent prey-predator model with cross-diffusion

Stationary patterns of a ratio-dependent prey-predator model with cross-diffusion
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DOI:
10.1007/s10255-017-0677-y
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发表时间:
2017-04
期刊:
Acta Mathematicae Applicatae Sinica, English Series
影响因子:
--
通讯作者:
Jingfu Zhao;Hongtao Zhang;Jing Yang
Jingfu Zhao;Hongtao Zhang;Jing Yang
中科院分区:
其他
文献类型:
--
作者:
Jingfu Zhao;Hongtao Zhang;Jing Yang

文献摘要

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研究了一类具有扩散和交叉扩散的比率依赖捕食系统,研究了该系统在有界区域中的扩散和交叉扩散。我们发现,在一定的假设下,交叉扩散可以创建非常数的正稳态,即使相应的模型没有交叉扩散失败。
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.