Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707947 | Applied Mathematics Letters | 2014 | 4 Pages |
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
Qinlong Wang, Wentao Huang,