On the limiting system in the Shigesada, Kawasaki and Teramoto model with large cross-diffusion rates
On the limiting system in the Shigesada, Kawasaki and Teramoto model with large cross-diffusion rates
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DOI：
10.3934/dcds.2020161
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发表时间：
2020
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影响因子：
--
通讯作者：
Y. Kan-on
中科院分区：
文献类型：
--
作者：
Y. Kan-on
1979年，Shigesada，Kawasaki和Teramoto[11]提出了一个具有非线性扩散的数学模型来研究两种竞争物种群落中的分离现象。在这篇文章中，我们讨论了当包含在非线性扩散中的交叉扩散率趋于无穷大时模型的极限系统。通过没有严格证明的形式计算，我们得到了一个与Lou和Ni[5]中建立的极限系统略有不同的极限系统。
In 1979, Shigesada, Kawasaki and Teramoto [ 11 ] proposed a mathematical model with nonlinear diffusion, to study the segregation phenomenon in a two competing species community. In this paper, we discuss limiting systems of the model as the cross-diffusion rates included in the nonlinear diffusion tend to infinity. By formal calculation without rigorous proof, we obtain one limiting system which is a little different from that established in Lou and Ni [ 5 ].