A multi‐group SEIRI epidemic model with logistic population growth under discrete Markov switching: Extinction, persistence, and positive recurrence

Epidemiology (92D30) 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) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

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Stationary distribution of stochastic population systems under regime switching
Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
Modeling direct and indirect disease transmission using multi-group model
The SIS epidemic model with Markovian switching
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
Population dynamical behavior of Lotka-Volterra system under regime switching
Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
Global stability of multi-group epidemic models with distributed delays
Stability of stochastic differential equations with Markovian switching
A stochastic SIRI epidemic model with Lévy noise
Ergodic property of the chemostat: a stochastic model under regime switching and with general response function
Global stability of multi-group SEIR epidemic models with distributed delays and nonlinear transmission
Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
Ergodic stationary distribution and extinction of a hybrid stochastic SEQIHR epidemic model with media coverage, quarantine strategies and pre-existing immunity under discrete Markov switching
Extinction and permanence in a stochastic SIRS model in regime-switching with general incidence rate
Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate
Stochastic population dynamics under regime switching
Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
Modeling diseases with latency and relapse
Global stability of epidemiological models with group mixing and nonlinear incidence rates
The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
First integrals and exact solutions of the SIRI and tuberculosis models
Global Dynamics of a General Class of Multistage Models for Infectious Diseases
Dynamical Behavior of a Stochastic SIRS Epidemic Model
Multigroup deterministic and stochasticSEIRIepidemic models with nonlinear incidence rates and distributed delays: A stability analysis
A scaling analysis in the SIRI epidemiological model
A graph-theoretic approach to the method of global Lyapunov functions
Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse
Global Behavior of a Multi-Group SIR Epidemic Model with Age Structure and an Application to the Chlamydia Epidemic in Japan
Stability analyses of deterministic and stochastic SEIRI epidemic models with nonlinear incidence rates and distributed delay
Dynamics of a multigroup SIQS epidemic model under regime switching
Ergodic stationary distribution and practical application of a hybrid stochastic cholera transmission model with waning vaccine‐induced immunity under nonlinear regime switching