DYNAMICS OF AN IMPULSIVE STOCHASTIC SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE

DOI10.11948/20190214zbMath1455.37071OpenAlexW3112649368MaRDI QIDQ4964204

Tao Pan, Wenjie Cao

Publication date: 25 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190214

zbMATH Keywords

periodic solutionstochastic perturbationimpulsive effectSIR epidemic modelglobal attraction

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Ordinary differential equations and systems with randomness (34F05)

Related Items (1)

Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses

Cites Work

• Unnamed Item
• On pulse vaccine strategy in a periodic stochastic SIR epidemic model
• Long-time behaviour of a perturbed SIR model by white noise
• On a stochastic logistic equation with impulsive perturbations
• A stochastic SIRS epidemic model with infectious force under intervention strategies
• Stochastic stability of stochastic switched epidemic models with constant and impulsive control schemes
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage
• Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation
• Pulse vaccination of an SEIR epidemic model with time delay
• Verhulst model with Lévy white noise excitation
• A delay SIR epidemic model with pulse vaccination and incubation times
• Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures
• Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps
• Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
• Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps
• Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps
• Noise in ecosystems: a short review
• Spatio-temporal patterns in population dynamics
• Persistence and nonpersistence of a nonautonomous stochastic mutualism system
• Analysis of novel stochastic switched \textit{SILI} epidemic models with continuous and impulsive control
• Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
• The threshold of a stochastic SIRS epidemic model with saturated incidence
• Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
• Dynamics analysis of a stochastic non-autonomous one-predator-two-prey system with Beddington-DeAngelis functional response and impulsive perturbations
• The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
• Exclusion and persistence in deterministic and stochastic chemostat models
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• A Stochastic Differential Equation SIS Epidemic Model
• PULSE VACCINATION IN THE PERIODIC INFECTION RATE SIR EPIDEMIC MODEL
• GLOBAL DYNAMICS ANALYSIS OF A NONLINEAR IMPULSIVE STOCHASTIC CHEMOSTAT SYSTEM IN A POLLUTED ENVIRONMENT

This page was built for publication: DYNAMICS OF AN IMPULSIVE STOCHASTIC SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE