Predator-prey and host-parasite spatial stochastic models
نویسندگان
چکیده
منابع مشابه
Spatial stochastic predator-prey models
We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic rate equations, on the properties of the stochastic models. Here, we outline the robust scenario obeyed by most of the lattice predator-prey model...
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It is well-established that including spatial structure and stochastic noise in models for predator-prey interactions invalidates the classical deterministic Lotka–Volterra picture of neutral population cycles. In contrast, stochastic models yield long-lived, but ultimately decaying erratic population oscillations, which can be understood through a resonant amplification mechanism for density f...
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As a first approximation of immune-mediated within-host parasite dynamics we can consider the immune response as a predator, with the parasite as its prey. In the ecological literature of predator-prey interactions there are a number of different functional responses used to describe how a predator reproduces in response to consuming prey. Until recently most of the models of the immune system ...
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We study the influence of spatially varying reaction rates on a spatial stochastic two-species Lotka-Volterra lattice model for predator-prey interactions using two-dimensional Monte Carlo simulations. The effects of this quenched randomness on population densities, transient oscillations, spatial correlations, and invasion fronts are investigated. We find that spatial variability in the predat...
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A stochastic version of the classical predatorprey population model is considered through a simple birthdeath formulation. The expected value of the process is obtained and shown to correspond to the deterministic predatorprey population model.
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 1997
ISSN: 1050-5164
DOI: 10.1214/aoap/1034625250