Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708143 | Applied Mathematics Letters | 2012 | 5 Pages |
Abstract
A conjecture about global attraction in autonomous competitive Lotka–Volterra systems is clarified by investigating a special system with a circular matrix. Under suitable assumptions, this system meets the condition of the conjecture but Hopf bifurcation occurs in a particular instance. This shows that the conjecture is not true in general and the condition of the conjecture is too weak to guarantee global attraction of an equilibrium. Sufficient conditions for global attraction are also obtained for this system.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhanyuan Hou,