Abstract
We investigate a class of partially degenerate nonlocal diffusion Lotka-Volterra competition models with a free boundary and a fixed boundary in which invasive species with nonlocal diffusion and native species without diffusion or very slow diffusion. We first prove the existence and uniqueness of the global solution. Then we consider the long-time behavior of the solution when the invasive species are inferior and superior, respectively. Finally, criteria of spreading and vanishing are established when u is the superior competitor.
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The authors sincerely thank Doctor Jinjin Mao for her helpful suggestions, and they are also grateful to the editors and anonymous reviewers for their valuable comments and suggestions.
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Shi, L., Xu, T. The Partially Degenerate Nonlocal Diffusion Competition Model with a Free Boundary: Invasion of an Inferior or Superior Competitor. Mediterr. J. Math. 20, 201 (2023). https://doi.org/10.1007/s00009-023-02415-0
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DOI: https://doi.org/10.1007/s00009-023-02415-0