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Global Dynamics of a Lotka–Volterra Competition–Diffusion–Advection Model with Stage Structure

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Abstract

In this paper, we study a classical two species stage structure Lotka–Volterra diffusion–advection system. By employing the Krein–Rutman theorem, analyzing the principal eigenvalue, and combining with the theory of monotone dynamical systems, a classification of the global dynamics is given for the weak competition case.

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Acknowledgements

The authors greatly appreciate the anonymous referee’s comments. This research has been supported by the NSFC (Grant No. 11801231, 12271220, 12090010 and 12090011).

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  1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, Jiangsu, People’s Republic of China

    Shuling Yan & Zengji Du

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  1. Shuling Yan
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  2. Zengji Du
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Correspondence to Shuling Yan.

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Yan, S., Du, Z. Global Dynamics of a Lotka–Volterra Competition–Diffusion–Advection Model with Stage Structure. Qual. Theory Dyn. Syst. 22, 95 (2023). https://doi.org/10.1007/s12346-023-00796-x

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