Long-time behavior of a stochastic predator–prey model with modified Leslie–Gower and Holling-type II schemes
- 25 February 2016
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Biomathematics
- Vol. 9 (3), 1650039
- https://doi.org/10.1142/s179352451650039x
Abstract
In this paper, we consider a stochastic predator–prey model with modified Leslie–Gower and Holling-type II schemes. We analyze long-time behavior of densities of the distributions of the solution. We prove that the densities can converge in L1 to an invariant density or can converge weakly to a singular measure under appropriate conditions.Keywords
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