A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity

DOI10.1016/j.physa.2017.04.055zbMath1495.92081OpenAlexW2606823665MaRDI QIDQ2147725

Xiang Wei, Kuangang Fan, Yan Zhang, Shujing Gao

Publication date: 20 June 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2017.04.055

zbMATH Keywords

extinctionstochastic epidemic modelthreshold valuetemporal delay

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05)

Related Items (19)

Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage ⋮ Lévy noise impact on a stochastic delayed epidemic model with Crowly-Martin incidence and crowding effect ⋮ A delayed vaccinated epidemic model with nonlinear incidence rate and Lévy jumps ⋮ Stationary distribution and extinction of a stochastic SEIQ epidemic model with a general incidence function and temporary immunity ⋮ Stochastic analysis of a novel nonautonomous periodic SIRI epidemic system with random disturbances ⋮ Dynamical analysis of a stochastic delayed epidemic model with Lévy jumps and regime switching ⋮ Dynamic analysis and optimal control of rumor propagation model with reporting effect ⋮ Stochastic probes in delay viral infection model with general incidence rate and control strategies ⋮ Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional ⋮ Stochastic analysis of a two delayed epidemic model incorporating Lévy processes with a general non-linear transmission ⋮ Study on a susceptible–infected–vaccinated model with delay and proportional vaccination ⋮ Threshold dynamics of stochastic models with time delays: a case study for Yunnan, China ⋮ A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies ⋮ A stochastic SIR epidemic model with Lévy jump and media coverage ⋮ A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination ⋮ Riccati equation as topology-based model of computer worms and discrete SIR model with constant infectious period ⋮ Threshold dynamics of a stochastic SIVS model with saturated incidence and Lévy jumps ⋮ Exact solution to a dynamic SIR model ⋮ Dynamic analysis of a SIQR epidemic model considering the interaction of environmental differences

Cites Work

• Analysis of a stochastic tri-trophic food-chain model with harvesting
• Analysis of a nonautonomous model for migratory birds with saturation incidence rate
• Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
• Seasonality and mixed vaccination strategy in an epidemic model with vertical transmission
• Global stability for non-monotone delay equations (with application to a model of blood cell production)
• Persistence in fluctuating environments
• Optimal harvesting of a stochastic mutualism model with Lévy jumps
• Delay differential equations: with applications in population dynamics
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Stochastic versions of the LaSalle theorem
• Global stability of an SIR epidemic model with time delays
• Global dynamics of an SEIR epidemic model with saturating contact rate
• The threshold of a stochastic delayed SIR epidemic model with temporary immunity
• Persistence and extinction for a class of stochastic SIS epidemic models with nonlinear incidence rate
• Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates
• The stability of stochastic coupled systems with time delays and time-varying coupling structure
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Global stability for a multi-group SIRS epidemic model with varying population sizes
• Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence
• Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
• Generalizations of some stochastic epidemic models
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Global asymptotic stability of stochastic Lotka–Volterra systems with infinite delays
• Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence
• A delayed SIR epidemic model with a general incidence rate

This page was built for publication: A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity