Article ID Journal Published Year Pages File Type
1707947 Applied Mathematics Letters 2014 4 Pages PDF
Abstract

In this paper, we consider a class of biological invasion model with density-dependent migrations and Allee effect, which is reduced to one ordinary differential form via the travelling wave solution ansatz. For the corresponding planar system, we firstly obtain the first several weak focal values of its one equilibrium by computing the singular point quantities, then determine the existence of one stable limit cycle from its Hopf bifurcation. Thus a special periodic travelling wave solution which is isolate as a limit is obtained, and it corresponds to the particular real patterns of spread during biological invasions, which is an interesting discovery.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
, ,