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Comparison between the Deterministic and Stochastic Models of Nonlocal Diffusion.
- Source :
-
Journal of Dynamics & Differential Equations . Mar2024, Vol. 36 Issue 1, p231-250. 20p. - Publication Year :
- 2024
-
Abstract
- In this paper, we discuss the difference between the deterministic and stochastic models of nonlocal diffusion. We use a nonlocal reaction-diffusion equation and a multi-dimensional jump Markov process to analyze these mathematical models. First, we demonstrate that the difference converges to 0 in probability with a supremum norm for a sizeable network. Next, we consider the rescaled difference and show that it converges to a stochastic process in distribution on the Skorokhod space. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 36
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 175720179
- Full Text :
- https://doi.org/10.1007/s10884-022-10135-4