Dynamical behavior and numerical simulation of an influenza A epidemic model with log-normal Ornstein-Uhlenbeck process

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

Cites Work

Unnamed Item
Permanence and extinction for a nonautonomous avian-human influenza epidemic model with distributed time delay
On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
Handbook of stochastic methods for physics, chemistry and the natural sciences
The threshold of survival for system of two species in polluted environment
Dynamics of annual influenza A epidemics with immuno-selection
An evolutionary epidemiological mechanism, with applications to type A influenza
Is the Allee effect relevant to stochastic cancer model?
Analysis of a stochastic HBV infection model with delayed immune response
Delayed hepatitis B epidemic model with stochastic analysis
Dynamics of an HTLV-I infection model with delayed CTLs immune response
The threshold of a stochastic avian-human influenza epidemic model with psychological effect
Dynamics of a stochastic avian-human influenza epidemic model with mutation
Global stability of an influenza A model with vaccination
On a new method for the stochastic perturbation of the disease transmission coefficient in SIS models
A numerical study on an influenza epidemic model with vaccination and diffusion
The impact of the media awareness and optimal strategy on the prevalence of tuberculosis
A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function
Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein-Uhlenbeck process
Dynamical behaviors of a stochastic HTLV-I infection model with general infection form and Ornstein-Uhlenbeck process
An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
Stability analysis and optimal control of an epidemic model with vaccination
Modeling the influence of vaccination coverage on the dynamics of COVID‐19 pandemic with the effect of environmental contamination
Mathematical analysis of the dynamics of a fractional‐order tuberculosis epidemic in a patchy environment under the influence of re‐infection
Dynamical behavior and numerical simulation of a stochastic eco-epidemiological model with Ornstein-Uhlenbeck process
Dynamics of a stochastic SVEIR epidemic model incorporating general incidence rate and Ornstein-Uhlenbeck process
Stationary distribution and density function expression for a stochastic SIQRS epidemic model with temporary immunity
The stochastic bifurcation analysis and stochastic delayed optimal control for epidemic model with general incidence function

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