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Stability and bifurcation in a reaction–diffusion–advection predator–prey model

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Abstract

A reaction–diffusion–advection predator–prey model with Holling type-II predator functional response is considered. We show the stability/instability of the positive steady state and the existence of a Hopf bifurcation when the diffusion and advection rates are large. Moreover, we show that advection rate can affect not only the occurrence of Hopf bifurcations but also the values of Hopf bifurcations.

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Authors and Affiliations

  1. School of Mathematics, Harbin Institute of Technology, Harbin, 150001, Heilongjiang, People’s Republic of China

    Yihuan Sun

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

    Shanshan Chen

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  1. Yihuan Sun
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  2. Shanshan Chen
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Correspondence to Shanshan Chen.

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Communicated by A. Neves.

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This research is supported by Shandong Provincial Natural Science Foundation of China (No. ZR2020YQ01) and the National Natural Science Foundation of China (No. 12171117).

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Sun, Y., Chen, S. Stability and bifurcation in a reaction–diffusion–advection predator–prey model. Calc. Var. 62, 61 (2023). https://doi.org/10.1007/s00526-022-02405-2

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