Stochastic SEIR epidemic models with virus mutation and logistic growth of susceptible populations

DOI10.1016/J.MATCOM.2023.04.035OpenAlexW4376863154MaRDI QIDQ6108236

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Publication date: 29 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.04.035

zbMATH Keywords

extinctionglobal positive solutionstochastic SEIR epidemic modelergodic stationary distributionvirus mutation and logistic growth

Mathematics Subject Classification ID

Epidemiology (92D30) Mathematical modeling or simulation for problems pertaining to biology (92-10)

Cites Work

• Stochastic SEIR model with jumps
• Global stability and Hopf bifurcations of an SEIR epidemiological model with logistic growth and time delay
• Statistical inference for ergodic diffusion processes.
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Stability of regime-switching stochastic differential equations
• Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence
• Progressive dynamics of a stochastic epidemic model with logistic growth and saturated treatment
• Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence
• Global stability in a networked SIR epidemic model
• Dynamical behaviors of a stochastic SIRI epidemic model
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