Author： Hebert D.J.
Publisher： Academic Press
ISSN： 0001-8708
Source： Advances in Mathematics, Vol.125, Iss.1, 1997-01, pp. : 121-153
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
A discrete stochastic model is introduced for populations which are diffusing, interacting, and drifting on an integer lattice in a finite-dimensional space. The model is used to construct a Markov process whose countable state space is a set of location maps, assigning individuals to their positions. The expected population sizes and population densities satisfy partial difference approximations to the non-linear partial differential equations of diffusion-reaction-convection. Constructive convergence estimates give convergence results for the random process and its ensemble average.
Related content
Access to resources
Recommend
