Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

DOI10.1016/j.physa.2016.11.077zbMath1400.92521OpenAlexW2891763094MaRDI QIDQ1620387

Tasawar Hayat, Qun Liu, Daqing Jiang, Ahmed Alsaedi, Ning-Zhong Shi

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.physa.2016.11.077

zbMATH Keywords

extinctionstationary distributionnonlinear incidencestochastic SIRS epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Social networks; opinion dynamics (91D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Optimal stochastic control (93E20)

Related Items (34)

Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis ⋮ State-dependent pulse vaccination and therapeutic strategy in an SI epidemic model with nonlinear incidence rate ⋮ Stationary distribution of a stochastic SIQR epidemic model with saturated incidence and degenerate diffusion ⋮ Conditional quenched mean-field approach for recurrent-state epidemic dynamics in complex networks ⋮ Threshold of a regime-switching SIRS epidemic model with a ratio-dependent incidence rate ⋮ Ergodic stationary distribution of a stochastic SIRS epidemic model incorporating media coverage and saturated incidence rate ⋮ On invariant measures and the asymptotic behavior of a stochastic delayed SIRS epidemic model ⋮ Dynamics analysis of a stochastic SIRS epidemic model with nonlinear incidence rate and transfer from infectious to susceptible ⋮ Long-time behavior of a regime-switching SIRS epidemic model with degenerate diffusion ⋮ Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity ⋮ ILSR rumor spreading model with degree in complex network ⋮ Ergodic stationary distribution of a stochastic nonlinear epidemic model with relapse and cure ⋮ Dynamics of a stochastic SIQR epidemic model with saturated incidence rate ⋮ Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence ⋮ Stationary distribution and extinction of a stochastic cattle brucellosis model ⋮ A generalized stochastic SIR epidemic model with vaccination rules ⋮ \(G\)-SIRS model with logistic growth and nonlinear incidence ⋮ Stability of a nonlinear stochastic epidemic model with transfer from infectious to susceptible ⋮ Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity ⋮ Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination ⋮ Stationary distribution and ergodicity of a stochastic cholera model with multiple pathways of transmission ⋮ Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention ⋮ Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible ⋮ Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size ⋮ Dynamics analysis of stochastic epidemic models with standard incidence ⋮ Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates ⋮ Dynamical behaviors of a stochastic \textit{SIQR} epidemic model with quarantine-adjusted incidence ⋮ Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate ⋮ Stationary distribution and extinction of a stochastic SIQR model with saturated incidence rate ⋮ Dynamical behavior of a stochastic epidemic model for cholera ⋮ Threshold dynamics of a stochastic SIVS model with saturated incidence and Lévy jumps ⋮ Extinction and stationary distribution of a stochastic SIQR epidemic model with demographics and non-monotone incidence rate on scale-free networks ⋮ ASYMPTOTIC BEHAVIOR OF A STOCHASTIC VIRUS DYNAMICS MODEL WITH INTRACELLULAR DELAY AND HUMORAL IMMUNITY ⋮ THRESHOLD DYNAMICS IN A STOCHASTIC SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of a two-prey one-predator system in random environments
• Threshold behavior in a stochastic SIS epidemic model with standard incidence
• The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
• A stochastic model of AIDS and condom use
• The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate
• Reproduction numbers and thresholds in stochastic epidemic models. I: Homogeneous populations
• Stochastic models of some endemic infections
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stationary distribution of a stochastic SIS epidemic model with vaccination
• Long term behavior of solutions of the Lotka-Volterra system under small random perturbations.
• Stochastic epidemics: Major outbreaks and the duration of the endemic period
• Dynamics of positive solutions to SIR and SEIR epidemic models with saturated incidence rates
• Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
• Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
• A stochastic model for internal HIV dynamics
• Exclusion and persistence in deterministic and stochastic chemostat models
• The long time behavior of DI SIR epidemic model with stochastic perturbation
• Some properties of a simple stochastic epidemic model of SIR type
• A Stochastic Differential Equation SIS Epidemic Model
• An Introduction to Stochastic Epidemic Models
• Stochastic Spatial Models

This page was built for publication: Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence