Deterministic limits to stochastic spatial models of natural enemies

The American Naturalist
Matt J KeelingS Pacala

Abstract

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.

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Citations

May 14, 2004·Theoretical Population Biology·Cheryl J Briggs, Martha F Hoopes
Nov 25, 2003·Theoretical Population Biology·A Johansson, D J T Sumpter
Sep 26, 2013·Journal of Theoretical Biology·Henrik SjödinGöran Englund
May 4, 2006·The American Naturalist·Ulf BergströmKjell Leonardsson
May 20, 2008·Journal of Theoretical Biology·Philip J WallheadMeric A Srokosz
Feb 26, 2008·Ecology Letters·Göran Englund, Kjell Leonardsson
Oct 26, 2005·Theoretical Population Biology·Otso Ovaskainen, Stephen J Cornell
Jul 28, 2006·Ecology·Brett A Melbourne, Peter Chesson
Jan 17, 2020·The Journal of Animal Ecology·Göran EnglundBernard Hugueny
Oct 4, 2017·PLoS Computational Biology·Marina E WosniackMarcos G E da Luz

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