A hybrid switching S-DI-A epidemic model with standard incidence: persistence, extinction and positive recurrence

Ordinary differential equations and systems with randomness (34F05) Continuous-time Markov processes on discrete state spaces (60J27) General biology and biomathematics (92B05)

Cites Work

Unnamed Item
Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
The SIS epidemic model with Markovian switching
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
SDE SIS epidemic model with demographic stochasticity and varying population size
Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
A mathematical approach to HIV infection dynamics
The differential infectivity and staged progression models for the transmission of HIV
Stability analysis for differential infectivity epidemic models
The threshold of a stochastic delayed SIR epidemic model with vaccination
Dynamical behavior of stochastic multigroup S-DI-A epidemic models for the transmission of HIV
Ergodic property of the chemostat: a stochastic model under regime switching and with general response function
Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching
Environmental Brownian noise suppresses explosions in population dynamics.
The reproductive number for an HIV model with differential infectivity and staged progression
Stationary distribution and extinction of SIR model with nonlinear incident rate under Markovian switching
Existence of stationary distributions for Kolmogorov systems of competitive type under telegraph noise
Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling
Stochastic asymptotic stability of SIR model with variable diffusion rates
Stochastic population dynamics under regime switching
Optimal treatment strategies derived from a HIV model with drug-resistant mutants
Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
Some properties of a simple stochastic epidemic model of SIR type
An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
Dynamical analysis of public health education on HIV/AIDS transmission
A Stochastic Differential Equation SIS Epidemic Model
Threshold behavior in a stochastic HTLV‐I infection model with CTL immune response and regime switching
Stochastic Differential Equations with Markovian Switching
Analysis of a multi-group alcoholism model with public health education under regime switching
Transmission dynamics of stochastic SVIR influenza models with media coverage

This page was built for publication: A hybrid switching S-DI-A epidemic model with standard incidence: persistence, extinction and positive recurrence