Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420102 | Applied Mathematics and Computation | 2015 | 13 Pages |
Abstract
In this paper, we consider a stochastic Lotka-Volterra model with two predators competing for one prey. We give the sufficient conditions which guarantee that the principle of coexistence holds for this perturbed model via Markov semigroup theory. Furthermore, we prove that the densities of the solution can converge in L1 to an invariant density under appropriate conditions. Finally we make simulations to illustrate our analytical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qiumei Zhang, Daqing Jiang,