Deterministic limit of the stochastic model of chemical reactions with diffusion-Reference-Cited by-同舟云学术

Deterministic limit of the stochastic model of chemical reactions with diffusion

Published:1980-06 Issue:2 Volume:12 Page:367-379
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Arnold L.,Theodosopulu M.

Abstract

Conditions are given for which the Markov jump process describing the stochastic model of chemical reactions with diffusion converges to the solution of the corresponding deterministic reaction–diffusion equation.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference10 articles.

1. Brenig L. and Van Den Broeck C. (1980) Stochastic Hydrodynamic Theory for One-Component Systems. To appear.

2. Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

3. Existence and comparison theorems for nonlinear diffusion systems

4. Infinite Dimensional Linear Systems Theory

Cited by 62 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Macroscopic limit for stochastic chemical reactions involving diffusion and spatial heterogeneity;Stochastic Processes and their Applications;2024-10

2. Application of Markov Chain Approximation Method to Nonlinear Diffusion Equation;Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications;2024-04-01

3. Continuum Limit of Nonlocal Diffusion on Inhomogeneous Networks;Journal of Dynamics and Differential Equations;2022-09-29

4. The limit behavior of SEIRS model in spatial grid;Stochastics and Dynamics;2022-03-12

5. Large deviations in the supremum norm for a reaction–diffusion system;Brazilian Journal of Probability and Statistics;2022-03-01