Impact of Swapping Migration And Allee Effect in Single-species Model

In this paper, we propose two kinds of single-species models with swapping migration and Allee effect. We aim to discuss how the Allee effect and swapping migration influence the above models’ dynamical behaviours. The existence and stability of equilibria are addressed under weak Allee effect and strong Allee effect, respectively. Also we investigate the occurrence of saddle-node bifurcation which doesn’t exist in the single-species Logistic model. The corresponding dynamical behaviors are richer and more interesting than those in the traditional logistic model with dispersal. We find that both Allee effect and dispersal, especially the capacity of respective patches can make the species unstable. © (2023), (International Association of Engineers). All Rights Reserved.