Stochastic Partial Differential Equation Models for Spatially Dependent Predator-Prey Equations
Abstract
Stemming from the stochastic Lotka-Volterra or predator-prey equations, this work aims to model the spatial inhomogeneity by using stochastic partial differential equations (SPDEs). Compared to the classical models, the SPDE model is more versatile. To incorporate more qualitative features of the ratio-dependent models, the Beddington-DeAngelis functional response is also used. To analyze the systems under consideration, first existence and uniqueness of solutions of the SPDEs are obtained using the notion of mild solution. Then sufficient conditions for permanence and extinction are derived.
Keywords
Cite
@article{arxiv.1812.03327,
title = {Stochastic Partial Differential Equation Models for Spatially Dependent Predator-Prey Equations},
author = {N. N. Nhu and G. Yin},
journal= {arXiv preprint arXiv:1812.03327},
year = {2019}
}
Comments
There is a confusion in the notation in the equation (3.5) in the version of this paper published in DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B. This version makes this be clear