Stability analysis of a stochastic SIR epidemic model with specific nonlinear incidence rate

DOI10.1155/2013/431257zbMath1314.92153OpenAlexW2032618319WikidataQ58993584 ScholiaQ58993584MaRDI QIDQ2444209

Jihad Adnani, Noura Yousfi, Khalid Hattaf

Publication date: 9 April 2014

Published in: International Journal of Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/431257

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

Stability analysis of a delayed social epidemics model with general contact rate and its optimal control ⋮ An SEIR epidemic model with relapse and general nonlinear incidence rate with application to media impact ⋮ Dynamics of a stochastic SIR epidemic model driven by Lévy jumps with saturated incidence rate and saturated treatment function ⋮ Qualitative analysis of a stochastic epidemic model with specific functional response and temporary immunity ⋮ Global dynamics of an age-structured viral infection model with general incidence function and absorption ⋮ A Generalized Reaction-Diffusion Epidemic Model with Time Delay ⋮ Dynamics of a stochastic SVEIR epidemic model incorporating general incidence rate and Ornstein-Uhlenbeck process ⋮ Stability analysis of a stochastic delayed SIR epidemic model with general incidence rate ⋮ Dynamics of a stochastic susceptible-infective-recovered (SIRS) epidemic model with vaccination and nonlinear incidence under regime switching and Lévy jumps ⋮ Phytoplankton-zooplankton interaction under environmental stochasticity: survival, extinction and stability ⋮ A generalized HBV model with diffusion and two delays ⋮ A dynamic model for infectious diseases: the role of vaccination and treatment ⋮ Global properties of a discrete viral infection model with general incidence rate ⋮ Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate

Cites Work

• Unnamed Item
• Unnamed Item
• Study of an S-I epidemic model with nonlinear incidence rate: Discrete and stochastic version
• Asymptotic properties of a stochastic predator-prey model with Crowley-Martin functional response
• GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
• A delayed SIR epidemic model with a general incidence rate

This page was built for publication: Stability analysis of a stochastic SIR epidemic model with specific nonlinear incidence rate