Coexistence of Two Species in a Strongly Coupled Schoener’s Competitive Model
Coexistence of Two Species in a Strongly Coupled Schoener’s Competitive Model
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DOI：
10.1007/s10440-009-9433-5
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发表时间：
2010-04
影响因子：
1.6
通讯作者：
P. Zhu;Wenzhen Gan;Zhigui Lin
中科院分区：
文献类型：
--
作者：
P. Zhu;Wenzhen Gan;Zhigui Lin
讨论了一类具有齐次Dirichlet边界条件的强耦合系统正解的存在性。利用Schauder不动点定理，给出了系统共存的一个充分条件.并利用单调迭代法构造真解。我们的结果表明，如果交叉扩散和种内竞争是弱的，这个模型至少有一个共存状态。
This paper deals with the existence of positive solution to a strongly coupled system with homogeneous Dirichlet boundary conditions describing a Schoener’s competitive interaction of two species. Making use of the Schauder fixed point theorem, a sufficient condition is given for the system to have a coexistence. And true solutions are constructed based on monotone iterative method. Our results show that this model possesses at least one coexistence state if cross-diffusions and intra-specific competitions are weak.