[HTML][HTML] Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy.
The white noise as well as the Lévy jump perturbations are incorporated in all compartments …
The white noise as well as the Lévy jump perturbations are incorporated in all compartments …
Dynamics of a stochastic viral infection model with immune response
The aim of this work is to study the dynamical behavior of a stochastic viral infection model
which is formulated by four nonlinear stochastic differential equations to describe the …
which is formulated by four nonlinear stochastic differential equations to describe the …
Stochastic viral infection model with lytic and nonlytic immune responses driven by Lévy noise
In this paper, we present and study a stochastic viral infection model with lytic and nonlytic
immune responses driven by Lévy noise. First, we show that this model has unique positive …
immune responses driven by Lévy noise. First, we show that this model has unique positive …
Viral infection dynamics model based on a Markov process with time delay between cell infection and progeny production
Many human virus infections including those with the human immunodeficiency virus type 1
(HIV) are initiated by low numbers of founder viruses. Therefore, random effects have a …
(HIV) are initiated by low numbers of founder viruses. Therefore, random effects have a …
Non-pharmaceutical interventions and vaccination controls in a stochastic SIVR epidemic model
In this paper, we study an optimal control problem for a generalized stochastic SIVR model
as well as for the corresponding deterministic model. We consider two control strategies in …
as well as for the corresponding deterministic model. We consider two control strategies in …
Analysis of a stochastic SICR epidemic model associated with the Lévy jump
HM Srivastava, J Danane - Applied Sciences, 2022 - mdpi.com
We propose and study a Susceptible-Infected-Confined-Recovered (SICR) epidemic model.
For the proposed model, the driving forces include (for example) the Brownian motion …
For the proposed model, the driving forces include (for example) the Brownian motion …
A fractional order model for HBV infection with capsids and cure rate
In this work, we propose and analyze a fractional order model for hepatitis B virus (HBV)
infection with capsids and cure of infected cells. We first prove the existence, positivity, and …
infection with capsids and cure of infected cells. We first prove the existence, positivity, and …
Stability analysis for stochastic differential equations in virology
In this paper, we propose a viral infection model governed by three stochastic differential
equations. The global existence and positivity of solutions is investigated. Further, we give …
equations. The global existence and positivity of solutions is investigated. Further, we give …
Stochastic SICA epidemic model with jump Lévy processes
H Zine, J Danane, DFM Torres - Mathematical Analysis of Infectious …, 2022 - Elsevier
We propose and study a shifted SICA epidemic model, extending the one of Silva and
Torres (2017) to the stochastic setting driven by both Brownian motion processes and jump …
Torres (2017) to the stochastic setting driven by both Brownian motion processes and jump …
Stability analysis of a stochastic viral infection model with general infection rate and general perturbation terms
In this paper, we propose a stochastic viral infection model with general incidence rate. In
the proposed model, the stochastic perturbations are modeled by general functions. Further …
the proposed model, the stochastic perturbations are modeled by general functions. Further …