A stochastic SIRS epidemic model with nonlinear incidence rate
In this paper, we investigate the global dynamics of a general SIRS epidemic model with a
ratio-dependent incidence rate and its corresponding stochastic differential equation …
ratio-dependent incidence rate and its corresponding stochastic differential equation …
The threshold of a stochastic SIS epidemic model with vaccination
Y Zhao, D Jiang - Applied Mathematics and Computation, 2014 - Elsevier
This paper is concerned with the long time behavior of a stochastic SIS epidemic model with
vaccination. Sufficient conditions for extinction and persistence in mean are obtained. We …
vaccination. Sufficient conditions for extinction and persistence in mean are obtained. We …
Dynamics of COVID-19 mathematical model with stochastic perturbation
Z Zhang, A Zeb, S Hussain, E Alzahrani - Advances in difference …, 2020 - Springer
Acknowledging many effects on humans, which are ignored in deterministic models for
COVID-19, in this paper, we consider stochastic mathematical model for COVID-19. Firstly …
COVID-19, in this paper, we consider stochastic mathematical model for COVID-19. Firstly …
[HTML][HTML] Layered SIRS model of information spread in complex networks
Y Zhang, D Pan - Applied Mathematics and Computation, 2021 - Elsevier
In complex network research, the infectious disease model is often used to study
transmission mechanisms and interference factors of information; consequently, they are …
transmission mechanisms and interference factors of information; consequently, they are …
Dynamical behavior of a stochastic epidemic model for cholera
Q Liu, D Jiang, T Hayat, A Alsaedi - Journal of the Franklin Institute, 2019 - Elsevier
In this paper, a stochastic epidemic model for cholera is proposed and investigated. Firstly,
we establish sufficient conditions for extinction of the disease. Then we establish sufficient …
we establish sufficient conditions for extinction of the disease. Then we establish sufficient …
[HTML][HTML] The threshold of a stochastic SIRS epidemic model with saturated incidence
Y Zhao, D Jiang - Applied Mathematics Letters, 2014 - Elsevier
In this paper, we investigate the dynamics of a stochastic SIRS epidemic model with
saturated incidence. When the noise is small, we obtain a threshold of the stochastic system …
saturated incidence. When the noise is small, we obtain a threshold of the stochastic system …
Novel insights for a nonlinear deterministic-stochastic class of fractional-order Lassa fever model with varying kernels
Lassa fever is a hemorrhagic virus infection that is usually spread by rodents. It is a fatal
infection that is prevalent in certain West African countries. We created an analytical …
infection that is prevalent in certain West African countries. We created an analytical …
[HTML][HTML] Mathematical analysis of dengue stochastic epidemic model
Dengue is a vector-borne disease mainly affecting the tropical and subtropical regions. The
transmission as well as the control of dengue virus is not deterministic while stochastic due …
transmission as well as the control of dengue virus is not deterministic while stochastic due …
[HTML][HTML] Modeling the dynamics of novel coronavirus (COVID-19) via stochastic epidemic model
Novel coronavirus disease is a burning issue all over the world. Spreading of the novel
coronavirus having the characteristic of rapid transmission whenever the air molecules or …
coronavirus having the characteristic of rapid transmission whenever the air molecules or …
The extinction and persistence of the stochastic hepatitis B epidemic model
We discuss the dynamic of a stochastic hepatitis B epidemic model. A stochastic hepatitis B
model is formulated with a varying population environment for a long term behavior. The …
model is formulated with a varying population environment for a long term behavior. The …