Stability and Bifurcation Analysis of an Amensalism Model with Weak Allee Effect

• Wei, Zhen ^[1] ; Xia Yonghui ^[2] ; Zhang Tonghua ^[3]
  1. [1] Fujian Normal University

     Fujian Normal University

     China

     
  2. [2] Zhejiang Normal University

     Zhejiang Normal University

     China

     
  3. [3] Swinburne University of Technology

     Swinburne University of Technology

     Australia

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 1, 2020
• Idioma: inglés
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• Resumen

  • In this paper, an amensalism model with weak Allee effect is proposed. The existence and stability of all possible positive equilibria and the possible boundary equilibria of the system are investigated. We also prove that there are two saddle-node bifurcations under suitable conditions by Sotomayor’s theorem. An example with its numeric simulations are given to verify our main results.