Stationary distribution and extinction of a stochastic dengue epidemic model

DOI10.1016/j.jfranklin.2018.10.003zbMath1402.92397OpenAlexW2895928938MaRDI QIDQ1622259

Tasawar Hayat, Daqing Jiang, Ahmed Alsaedi, Qun Liu

Publication date: 19 November 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2018.10.003

zbMATH Keywords

stochastic Lyapunov functionergodic stationary distributionstochastic dengue epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Related Items

A stochastic SIS epidemic model with saturating contact rate, Effects of stochastic perturbation and vaccinated age on a vector-borne epidemic model with saturation incidence rate, Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence, The threshold dynamics of a stochastic two-patch brucellosis model, Dynamical behavior and optimal control of a stochastic mathematical model for cholera, Dynamical behavior of a stochastic dengue model with Ornstein–Uhlenbeck process, A stochastic model for malaria and its behavior under insecticide‐treated nets, A novel mathematical analysis and threshold reinforcement of a stochastic dengue epidemic model with Lévy jumps, Analysis of a stochastic within-host model of dengue infection with immune response and Ornstein-Uhlenbeck process, The impact of Lévy noise on the threshold dynamics of a stochastic susceptible‐vaccinated‐infected‐recovered epidemic model with general incidence functions, Dynamics of a stochastic periodic SIRS model with time delay, A stochastic SIRS epidemic model with non-monotone incidence rate under regime-switching, Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans, Stochastic modeling of a mosquito-borne disease

Cites Work

• Unnamed Item
• Unnamed Item
• Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
• Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
• Global dynamics of a dengue epidemic mathematical model
• A stochastic population dynamics model for Aedes Aegypti: formulation and application to a city with temperate climate
• Stochastic eco-epidemiological model of dengue disease transmission by Aedes aegypti mosquito
• A stochastic spatial dynamical model for Aedes aegypti
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Almost sure exponential stability of neutral stochastic differential difference equations
• Modelling dengue epidemic spreading with human mobility
• The extinction and persistence of the stochastic SIS epidemic model with vaccination
• Persistence and ergodicity of plant disease model with Markov conversion and impulsive toxicant input
• A stochastic vector-borne epidemic model: quasi-stationarity and extinction
• Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations