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- W2962687410 abstract "In this paper, we gives a complete classification of the global dynamics of two- species Lotka-Volterra competition models with nonlocal dispersals: where K, P represent nonlocal operators, under the assumptions that the nonlo- cal operators are symmetric, the models admit two semi-trivial steady states and 0<bc<1. In particular, when both semi-trivial steady states are locally stable, it is proved that there exist infinitely many steady states and the solution with non- negative and nontrivial initial data converges to some steady state. Furthermore, we generalize these results to the case that competition coefficients are location-dependent and dispersal strategies are mixture of local and nonlocal dispersals." @default.
- W2962687410 created "2019-07-30" @default.
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- W2962687410 date "2017-04-10" @default.
- W2962687410 modified "2023-09-23" @default.
- W2962687410 title "Classification of global dynamics of competition models with nonlocal dispersals I: Symmetric kernels" @default.
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- W2962687410 doi "https://doi.org/10.48550/arxiv.1704.02728" @default.
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