Periodic solution and stationary distribution of stochastic S-DI-A epidemic models

DOI10.1080/00036811.2016.1257123zbMath1391.92057OpenAlexW2557223289WikidataQ58300808 ScholiaQ58300808MaRDI QIDQ4638889

Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi, Xin-Hong Zhang

Publication date: 2 May 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1257123

zbMATH Keywords

stationary distributionMarkov switchingstochastic periodic solutionsS-DI-A model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Periodic solutions to ordinary differential equations (34C25)

Related Items

A stochastic epidemic model with infectivity in incubation period and homestead-isolation on the susceptible ⋮ The threshold of a stochastic avian-human influenza epidemic model with psychological effect ⋮ Dynamical behavior of stochastic multigroup S-DI-A epidemic models for the transmission of HIV ⋮ Global dynamics of a stochastic avian-human influenza epidemic model with logistic growth for avian population ⋮ Periodicity and stationary distribution of two novel stochastic epidemic models with infectivity in the latent period and household quarantine

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stationary distribution of stochastic population systems under regime switching
• The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences
• Stochastic model for spread of AIDS driven by Lévy noise
• Existence of two periodic solutions for a non-autonomous SIR epidemic model
• A mathematical approach to HIV infection dynamics
• Modeling the spread of seasonal epidemiological diseases: Theory and applications
• The differential infectivity and staged progression models for the transmission of HIV
• Stability analysis for differential infectivity epidemic models
• Dynamics of positive solutions to SIR and SEIR epidemic models with saturated incidence rates
• Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
• The long time behavior of DI SIR epidemic model with stochastic perturbation
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• PERIODIC SOLUTIONS OF STOCHASTIC DELAY DIFFERENTIAL EQUATIONS AND APPLICATIONS TO LOGISTIC EQUATION AND NEURAL NETWORKS
• Asymptotic Properties of Hybrid Diffusion Systems
• Mathematical Modelling of the Transmission Dynamics of HIV Infection and AIDS: A Review

This page was built for publication: Periodic solution and stationary distribution of stochastic S-DI-A epidemic models