Selected article for: "Hopf bifurcation and weak focus"
Author: Ruixia Yuan; Zhidong Teng; Jinhui Li
Title: Complex dynamics in an SIS epidemic model induced by nonlinear incidence
  • Document date: 2018_5_25
    • ID: 396rgxno_9
    Snippet: The organization of this paper is as follows. First of all, we analyze the existence of equilibria and local stability of equilibria. Then, we study the existence of Hopf bifurcation around the positive equilibrium at the critical value under the conditions of R 0 < 1 and R 0 > 1. We also show that these positive equilibria can be weak focus for some parameter values and a cusp type of Bogdanov-Takens bifurcation of codimension 3. Finally, we giv.....
    Document: The organization of this paper is as follows. First of all, we analyze the existence of equilibria and local stability of equilibria. Then, we study the existence of Hopf bifurcation around the positive equilibrium at the critical value under the conditions of R 0 < 1 and R 0 > 1. We also show that these positive equilibria can be weak focus for some parameter values and a cusp type of Bogdanov-Takens bifurcation of codimension 3. Finally, we give some brief conclusion.

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