Abstract
We investigate the traveling front solutions of a nonlocal Lotka Volterra system to illustrate the outcome of the competition between two species. The existence of the front solution is obtained through a new monotone iteration scheme, the uniqueness of the front solution corresponding to each propagation speed is proved by sliding domain method adapted to nonlocal systems, and the asymptotic decay rate of the fronts with critical and noncritical wave speeds is derived by a new method, which is different from the single equation case. The results demonstrate that in the long run, two weakly competing species can co-exist.
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This study was supported by the Fundamental Research Funds for the Central Universities of China and by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.
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Hou, X., Wang, B. & Zhang, Z. Mutual inclusion in a nonlocal competitive Lotka Volterra system. Japan J. Indust. Appl. Math. 31, 87–110 (2014). https://doi.org/10.1007/s13160-013-0126-0
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DOI: https://doi.org/10.1007/s13160-013-0126-0