Add to ORKGInternational audienceWe consider a mathematical SIL model for the spread of a directly transmitted infectious disease in an age-structured population; taking into account the demographic process and the vertical transmission of the disease. First we establish the mathematical well-posedness of the time evolution problem by using the semigroup approach. Next we prove that the basic reproduction ratio R0 is given as the spectral radius of a positive operator, and an endemic state exist if and only if the basic reproduction ratio R0 is greater than unity, while the disease-free equilibrium is locally asymptotically stable if R0<1. We also show that the endemic steady states are forwardly bifurcated from the disease-free steady state when R0 c...
International audienceIn contrast to the many theoretical studies on the transmission of human-mosqu...
We develop a mathematical model for the disease which can be transmitted via vector and through bloo...
In this paper, we investigate an SIRS epidemic model with chronological age structure in a demograph...
International audienceWe consider a mathematical SIL model for the spread of a directly transmitted ...
(Communicated by Glenn Webb) Abstract. In this paper, we consider a mathematical model for the sprea...
International audienceWe consider a mathematical SIL model for the spread of a directly transmitted ...
In this paper, we propose an SIVS epidemic model with continuous age structures in both infected and...
In this paper we present an SIR model for disease transmission with an assumption that individuals i...
We consider an age structured S-I-R epidemic model with inter-cohort form for the force of infection...
In this paper we the study of dynamics of time since infection structured vector born model with the...
International audienceIn contrast to the many theoretical studies on the transmission of human-mosqu...
In this paper we the study of dynamics of time since infection structured vector born model with the...
In this paper, we formulate an age-structured epidemic model for the demographic transition in which...
Abstract. In this article we analyze the global asymptotic behavior of a two-group SI (susceptible– ...
AbstractWe study global dynamics of a system of partial differential equations. The system is motiva...
International audienceIn contrast to the many theoretical studies on the transmission of human-mosqu...
We develop a mathematical model for the disease which can be transmitted via vector and through bloo...
In this paper, we investigate an SIRS epidemic model with chronological age structure in a demograph...
International audienceWe consider a mathematical SIL model for the spread of a directly transmitted ...
(Communicated by Glenn Webb) Abstract. In this paper, we consider a mathematical model for the sprea...
International audienceWe consider a mathematical SIL model for the spread of a directly transmitted ...
In this paper, we propose an SIVS epidemic model with continuous age structures in both infected and...
In this paper we present an SIR model for disease transmission with an assumption that individuals i...
We consider an age structured S-I-R epidemic model with inter-cohort form for the force of infection...
In this paper we the study of dynamics of time since infection structured vector born model with the...
International audienceIn contrast to the many theoretical studies on the transmission of human-mosqu...
In this paper we the study of dynamics of time since infection structured vector born model with the...
In this paper, we formulate an age-structured epidemic model for the demographic transition in which...
Abstract. In this article we analyze the global asymptotic behavior of a two-group SI (susceptible– ...
AbstractWe study global dynamics of a system of partial differential equations. The system is motiva...
International audienceIn contrast to the many theoretical studies on the transmission of human-mosqu...
We develop a mathematical model for the disease which can be transmitted via vector and through bloo...
In this paper, we investigate an SIRS epidemic model with chronological age structure in a demograph...