Comparison between the deterministic and stochastic models of nonlocal diffusion
DOI10.1007/s10884-022-10135-4OpenAlexW4293228032WikidataQ115382890 ScholiaQ115382890MaRDI QIDQ6195984
Hiroshi Toyoizumi, Itsuki Watanabe
Publication date: 14 March 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-022-10135-4
weak convergencelaw of large numbersreaction-diffusion equationnonlocal diffusionstochastic evolution equation
Gaussian processes (60G15) Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of a nonlocal dispersal SIS epidemic model
- Spatial propagation in an epidemic model with nonlocal diffusion: the influences of initial data and dispersals
- Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
- Stability of twisted states in the Kuramoto model on Cayley and random graphs
- Semigroups of linear operators and applications to partial differential equations
- Linear parabolic differential equations as limits of space-time jump Markov processes
- Law of large numbers and central limit theorem for linear chemical reactions with diffusion
- Comparison of stochastic and deterministic models of a linear chemical reaction with diffusion
- Law of large numbers in the supremum norm for a chemical reaction with diffusion
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Global dynamics of an SIR epidemic model with nonlocal diffusion
- The evolution of dispersal
- A particle system with explosions: law of large numbers for the density of particles and the blow-up time
- Small-world networks of Kuramoto oscillators
- The nonlinear heat equation on \(W\)-random graphs
- The Nonlinear Heat Equation on Dense Graphs and Graph Limits
- Non-Local dispersal and bistability
- Deterministic limit of the stochastic model of chemical reactions with diffusion
- Solutions of ordinary differential equations as limits of pure jump markov processes
- Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
- The Semilinear Heat Equation on Sparse Random Graphs
This page was built for publication: Comparison between the deterministic and stochastic models of nonlocal diffusion