Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect

Abstract We propose and analyze a Lotka-Volterra commensal model with an additive Allee effect in this article. First, we study the existence local stability of possible equilibria. Second, conditions for saddle-node bifurcations transcritical are derived by using Sotomayor’s theorem. Third, give sufficient global boundary equilibrium positive equilibrium. Finally, use numerical simulations to verify above theoretical results. This shows that weak case, has negative on final density both species, increasing effect, densities species decreasing. For strong is one most important factors leads extinction second species. The complex dynamic behaviors system.