Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053244 | Applied Mathematics Letters | 2019 | 8 Pages |
Abstract
The model to be dealt in this paper is Nâ²=(a+ch(t)âdh(t)NâbP)N,Pâ²=(âc+dN)P.Here, h is a nonnegative and locally integrable function. This model is a predator-prey system of Lotka-Volterra type with variable coefficients and it has a single interior equilibrium (câd,aâb). Sufficient conditions are given for the interior equilibrium to be uniformly globally asymptotically stable. One of them is described by using a certain uniform divergence condition on h. Our result is proved by examining in detail the behaviour of all solutions of a planar system equivalent to this model.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Wei Zheng, Jitsuro Sugie,