随机时滞Lotka-Volterra模型

Stochastic Delay Lotka-Volterra Model

该文揭示了关于生物动态过程中的一类重要的模型,随机时滞Lotka-Volterra模型的渐近行为,这种随机过程的解具有很好的逼近性质:如,解的轨道估计,渐近性质,而且它的解还具有随机有界性.

This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process,namely,the delay Lotka-Volterra model.The stochastic version of this process appears to have some intriguing properties such as pathwise estimation and asymptotic moment estimation.Indeed,their solutions are stochastically ultimately bounded.