LAUSR

Stability of stochastic SIRS epidemic models with saturated incidence rates and delay

Sign Up to like & get
recommendations!
1 Published in 2017 at "Stochastic Analysis and Applications"

DOI: 10.1080/07362994.2016.1244644

Abstract: Abstract In this article, we consider stochastic susceptible-infected-removed-susceptible (SIRS) epidemic models with saturated incidence rates and delay. We investigate the stochastic stability in probability of the disease-free and endemic equilibria for the stochastic dynamic model… read more here.

Keywords: models saturated; sirs epidemic; incidence rates; epidemic models ... See more keywords

Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes

Sign Up to like & get
recommendations!
0 Published in 2019 at "Dynamical Systems"

DOI: 10.1080/14689367.2019.1620689

Abstract: ABSTRACT This paper studies a class of stochastic SIRS epidemic models with general nonlinear incidence and varying population sizes. A new threshold value is obtained. The sufficient conditions for the global stability of the disease-free… read more here.

Keywords: incidence; sirs epidemic; incidence varying; varying population ... See more keywords

Dynamics of a stochastic SIRS epidemic model with standard incidence under regime switching

Sign Up to like & get
recommendations!
1 Published in 2021 at "International Journal of Biomathematics"

DOI: 10.1142/s1793524521500741

Abstract: The goal of this paper is to introduce and initiate a study of a stochastic SIRS epidemic model with standard incidence which is perturbed by both white and telegraph noises. We first show persistence in… read more here.

Keywords: model standard; epidemic model; sirs epidemic; standard incidence ... See more keywords

Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination

Sign Up to like & get
recommendations!
0 Published in 2017 at "Computational and Mathematical Methods in Medicine"

DOI: 10.1155/2017/7294761

Abstract: In this paper, the dynamical behaviors for a stochastic SIRS epidemic model with nonlinear incidence and vaccination are investigated. In the models, the disease transmission coefficient and the removal rates are all affected by noise.… read more here.

Keywords: sirs epidemic; nonlinear incidence; incidence vaccination; stochastic sirs ... See more keywords

Threshold Analysis of a Stochastic SIRS Epidemic Model with Logistic Birth and Nonlinear Incidence

Sign Up to like & get
recommendations!
2 Published in 2023 at "Mathematics"

DOI: 10.3390/math11071737

Abstract: The paper mainly investigates a stochastic SIRS epidemic model with Logistic birth and nonlinear incidence. We obtain a new threshold value (R0m) through the Stratonovich stochastic differential equation, different from the usual basic reproduction number.… read more here.

Keywords: sirs epidemic; epidemic model; logistic birth; birth nonlinear ... See more keywords