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Global dynamics of the diffusive Lotka–Volterra competition model with stage structure

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Abstract

The global asymptotic behavior of the classical diffusive Lotka–Volterra competition model with stage structure is studied. A complete classification of the global dynamics is given for the weak competition case. It is shown that under otherwise same conditions, the species with shorter maturation time prevails. The method is also applied to the global dynamics of another competition models with time delays.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, Shandong, People’s Republic of China

    Shanshan Chen

  2. Department of Mathematics, William & Mary, Williamsburg, VA, 23187-8795, USA

    Junping Shi

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  1. Shanshan Chen
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  2. Junping Shi
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Correspondence to Shanshan Chen.

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Communicated by P. Rabinowitz.

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Shanshan Chen is supported by National Natural Science Foundation of China (No. 11771109) and a grant from China Scholarship Council, and Junping Shi is supported by US-NSF Grant DMS-1715651.

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Chen, S., Shi, J. Global dynamics of the diffusive Lotka–Volterra competition model with stage structure. Calc. Var. 59, 33 (2020). https://doi.org/10.1007/s00526-019-1693-y

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