An approximate probabilistic solution of a random SIR-type epidemiological model using RVT technique

DOI10.1016/j.amc.2019.05.019zbMath1428.92118OpenAlexW2947940716WikidataQ127768902 ScholiaQ127768902MaRDI QIDQ2279588

Yanyan Li

Publication date: 13 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.05.019

zbMATH Keywords

first probability density functionnonlinear random differential equationsrandom variable transformation (RVT) techniqueSIR-type epidemiological model

Mathematics Subject Classification ID

Epidemiology (92D30) Numerical solutions to stochastic differential and integral equations (65C30) Computational methods for problems pertaining to biology (92-08)

Related Items (5)

Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model ⋮ Optimal control problem of various epidemic models with uncertainty based on deep reinforcement learning ⋮ A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications ⋮ Probabilistic analysis of a general class of nonlinear random differential equations with state-dependent impulsive terms via probability density functions ⋮ Unnamed Item

Cites Work

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• An Introduction to Mathematical Epidemiology
• Modeling the simple epidemic with deterministic differential equations and random initial conditions
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