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Speed Selection for a Lotka–Volterra Competitive System with Local vs. Nonlocal Diffusions

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Abstract

In this paper, we investigate the minimal wave speed selection mechanism for a Lotka–Volterra competitive system with local vs. nonlocal diffusions. By a change of variables, we transform the competitive system into cooperative system. Then we employ the upper and lower solutions method to study the minimal wave speed selection mechanism: linear or nonlinear. For the linear selection, we concentrate on constructing suitable upper solutions. For the nonlinear selection, we focus only on the construction of lower solutions.

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Acknowledgements

This research was partially supported by NSF of China [11861056] and NSF of Gansu Province [21JR7RA121, 21JR7RA209].

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  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, Gansu, China

    Zheng-Jie Yang & Guo-Bao Zhang

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  1. Zheng-Jie Yang
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Zheng-Jie Yang: Writing-original draft. Guo-Bao Zhang: Conceptualization, Supervision, Funding acquisition, Writing review and editing. All authors reviewed the manuscript.

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Correspondence to Guo-Bao Zhang.

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Yang, ZJ., Zhang, GB. Speed Selection for a Lotka–Volterra Competitive System with Local vs. Nonlocal Diffusions. Qual. Theory Dyn. Syst. 22, 43 (2023). https://doi.org/10.1007/s12346-023-00747-6

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  • DOI: https://doi.org/10.1007/s12346-023-00747-6

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