In this paper we first review the mathematical formulation of the original differential infectivity DI and staged-progression SP models, then we formulate a HIV new model with differential susceptibility and staged-progression DSSP to account for variations in viral loads and in the rate of disease progression in infected individuals. Then we derive an explicit formula for the reproductive number of infection for this model, then we provide numerical example for it. Mathematics Subject Classification: 92BX
The most urgent public health problem today is to devise effective strategies to minimize the destru...
Mathematical models can help predict the effectiveness of control measures on the spread of HIV and ...
Mathematical models provide a means to understand the human immunodeficiency virus (HIV)-infected im...
In this paper we first review the mathematical formulation of the original differential infectivity ...
The progression of HIV infection to AIDS is unclear and under examined. Many mechanisms have been pr...
AbstractWe formulate an HIV epidemic model with differential infectivity and staged disease progress...
Abstract. This contribution is devoted to a new model of HIV multiplication. We take into account th...
This paper studies a modified human immunodeficiency virus (HIV) infection differential equation mod...
We review some known dynamical models of epidemics, given by cou-pled systems of di¤erential equatio...
The steps involved in viral reproduction are described briefly. Mathematical models for the growth o...
A nonlinear mathematical model of differential equations with piecewise constant arguments is propos...
We study two multigroup mathematical models of the spread of HIV. In the di!erential infectivity mod...
Mathematical modeling of biological systems is crucial to effectively and efficiently developing tre...
In this paper we propose a model for the dynamics of HIV epidemics under distinct HAART regimes, and...
Recent studies of HIV RNA in infected individuals show that viral levels vary widely between individ...
The most urgent public health problem today is to devise effective strategies to minimize the destru...
Mathematical models can help predict the effectiveness of control measures on the spread of HIV and ...
Mathematical models provide a means to understand the human immunodeficiency virus (HIV)-infected im...
In this paper we first review the mathematical formulation of the original differential infectivity ...
The progression of HIV infection to AIDS is unclear and under examined. Many mechanisms have been pr...
AbstractWe formulate an HIV epidemic model with differential infectivity and staged disease progress...
Abstract. This contribution is devoted to a new model of HIV multiplication. We take into account th...
This paper studies a modified human immunodeficiency virus (HIV) infection differential equation mod...
We review some known dynamical models of epidemics, given by cou-pled systems of di¤erential equatio...
The steps involved in viral reproduction are described briefly. Mathematical models for the growth o...
A nonlinear mathematical model of differential equations with piecewise constant arguments is propos...
We study two multigroup mathematical models of the spread of HIV. In the di!erential infectivity mod...
Mathematical modeling of biological systems is crucial to effectively and efficiently developing tre...
In this paper we propose a model for the dynamics of HIV epidemics under distinct HAART regimes, and...
Recent studies of HIV RNA in infected individuals show that viral levels vary widely between individ...
The most urgent public health problem today is to devise effective strategies to minimize the destru...
Mathematical models can help predict the effectiveness of control measures on the spread of HIV and ...
Mathematical models provide a means to understand the human immunodeficiency virus (HIV)-infected im...