Positive steady states for a prey-predator model with some nonlinear diffusion terms

Positive steady states for a prey-predator model with some nonlinear diffusion terms
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DOI:
10.1016/j.jmaa.2005.11.065
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发表时间:
2006-11
影响因子:
1.3
通讯作者:
T. Kadota;Kousuke Kuto
T. Kadota;Kousuke Kuto
中科院分区:
数学3区
文献类型:
--
作者:
T. Kadota;Kousuke Kuto

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This paper discusses a prey–predator system with strongly coupled nonlinear diffusion terms. We give a sufficient condition for the existence of positive steady state solutions. Our proof is based on the bifurcation theory. Some a priori estimates for steady state solutions will play an important role in the proof.