Asymptotic behaviors of stochastic epidemic models with jump-diffusion

DOI10.1016/j.apm.2020.05.003zbMath1481.92166OpenAlexW3024341909MaRDI QIDQ2049756

Nguyen Thanh Dieu, Takasu Fugo, Nguyen Huu Du

Publication date: 27 August 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.05.003

zbMATH Keywords

ergodicityextinctionstationary distributionpermanenceSIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Jump processes on general state spaces (60J76)

Related Items (7)

A stochastic SEIRS rabies model with population dispersal: stationary distribution and probability density function ⋮ Ergodic stationary distribution and extinction of stochastic delay chemostat system with Monod-Haldane functional response and higher-order Lévy jumps ⋮ Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein-Uhlenbeck process ⋮ Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy ⋮ Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate ⋮ HJB and Fokker-Planck equations for river environmental management based on stochastic impulse control with discrete and random observation ⋮ The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: new framework, critical comparison and an application to COVID-19 (SARS-CoV-2) case

Cites Work

• Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps
• Comparison theorem for stochastic differential delay equations with jumps
• Threshold of a stochastic SIR epidemic model with Lévy jumps
• Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps
• Stochastic SIR model with jumps
• Asymptotic properties of jump-diffusion processes with state-dependent switching
• Classification of Asymptotic Behavior in a Stochastic SIR Model
• Mathematical Models in Population Biology and Epidemiology
• Mathematical Structures of Epidemic Systems
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• The Behavior of an SIR Epidemic Model with Stochastic Perturbation
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic behaviors of stochastic epidemic models with jump-diffusion