Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610321 | Journal of Differential Equations | 2014 | 24 Pages |
Abstract
This work focuses on population dynamics of two species described by Kolmogorov systems of competitive type under telegraph noise that is formulated as a continuous-time Markov chain with two states. Our main effort is on establishing the existence of an invariant (or a stationary) probability measure. In addition, the convergence in total variation of the instantaneous measure to the stationary measure is demonstrated under suitable conditions. Moreover, the Ω-limit set of a model in which each species is dominant in a state of the telegraph noise is examined in detail.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
N.H. Dang, N.H. Du, G. Yin,