Keeling M J, Wilson H B, Pacala S W
Department of Zoology, Cambridge University, Downing Street, Cambridge CB2 3EJ, United Kingdom.
Am Nat. 2002 Jan;159(1):57-80. doi: 10.1086/324119.
Stochastic spatial models are becoming an increasingly popular tool for understanding ecological and epidemiological problems. However, due to the complexities inherent in such models, it has been difficult to obtain any analytical insights. Here, we consider individual-based, stochastic models of both the continuous-time Lotka-Volterra system and the discrete-time Nicholson-Bailey model. The stability of these two stochastic models of natural enemies is assessed by constructing moment equations. The inclusion of these moments, which mimic the effects of spatial aggregation, can produce either stabilizing or destabilizing influences on the population dynamics. Throughout, the theoretical results are compared to numerical models for the full distribution of populations, as well as stochastic simulations.
随机空间模型正日益成为理解生态和流行病学问题的常用工具。然而，由于此类模型固有的复杂性，很难获得任何分析性见解。在此，我们考虑基于个体的连续时间Lotka-Volterra系统和离散时间Nicholson-Bailey模型的随机模型。通过构建矩方程来评估这两种天敌随机模型的稳定性。这些模拟空间聚集效应的矩的纳入，可能会对种群动态产生稳定或不稳定的影响。在整个过程中，将理论结果与种群全分布的数值模型以及随机模拟进行了比较。
