• Traveling wave solutions of a diffusive predator–prey model with modified Leslie–Gower and Holling-type II schemes

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    • Keywords


      Diffusive predator–prey model; traveling wave solution; modified Leslie– Gower; Holling-type II scheme; shooting method

    • Abstract


      We study a diffusive predator–prey model with modified Leslie–Gower and Holling-II schemes with $D = 0$. We establish the existence of traveling wave solutions connecting a positive equilibrium and a boundary equilibrium via the ‘shooting method’, and the non-existence by the ‘eigenvalue method’. It should be emphasized that a threshold value $c^{\ast} = \sqrt{4\alpha}$ is found in our paper.

    • Author Affiliations



      1. School of Mathematics, South China Normal University, Guangzhou 510631, People’s Republic of China
      2. Department of Mathematics, Foshan University, Foshan 528000, People’s Republic of China
    • Dates

  • Proceedings – Mathematical Sciences | News

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