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 distri- butions of the solution. We prove that the ...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 distri- butions 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.展开更多
文摘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 distri- butions 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.
