Entire solutions of diffusive Lotka-Volterra system
Entire solutions of diffusive Lotka-Volterra system
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DOI：
10.1016/j.jde.2020.07.006
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发表时间：
2020-02
影响因子：
2.4
通讯作者：
King-Yeung Lam;R. Salako;Qi-liang Wu
中科院分区：
文献类型：
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作者：
King-Yeung Lam;R. Salako;Qi-liang Wu
本文研究了扩散Lotka-Volterra竞争系统在实线上完整解的存在性。证明了一类单种行波在t→−∞时渐近的完整解的存在性。根据系统参数的不同，这些完整的解在t→+∞时演变成两个或多个叠加的入侵波。我们的研究结果涵盖了弱竞争和强竞争两种情况。在弱竞争情况下，证明了构成四维流形的一类完整解的存在性。
This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system on the real line. We prove the existence of some entire solutions that are asymptotic, as t→−∞, to a traveling wave consisting of a single species. Depending on system parameters, these entire solutions evolve into two ore more stacked invasion waves as t→+∞. Our results cover both the weak and strong competition case. In the weak competition case, the existence of a class of entire solutions that forms a 4-dimensional manifold is proved.