Long-time behaviour of a stochastic prey-predator model
Long-time behaviour of a stochastic prey-predator model
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DOI：
10.1016/s0304-4149(03)00090-5
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发表时间：
2003-11-01
影响因子：
1.4
通讯作者：
Rudnicki, R
中科院分区：
文献类型：
--
作者：
Rudnicki, R
我们考虑了一组随机方程，它模拟了一类捕食者类型的种群动力学。证明了该系统解的分布是绝对连续的。我们分析了解的分布的密度的长期行为。我们证明了L-1中的密度可以收敛到一个不变的密度，也可以弱收敛到一个奇异测度。(C)2003爱思唯尔B.V.保留所有权利。
We consider a system of stochastic equations which models the population dynamics of a prey-predator type. We show that the distributions of the solutions of this system are absolutely continuous. We analyse long-time behaviour of densities of the distributions of the solutions. We prove that the densities can converge in L-1 to an invariant density or can converge weakly to a singular measure. (C) 2003 Elsevier B.V. All rights reserved.