We propose a mathematical model for the dynamics of spread of a viral infection in the organism which incorporates a continuously distributed intracellular delay. The model, consisting of a set of second type Volterra integral equations, can account for viruses having different mechanisms of propagation. We perform the analysis of the qualitative behavior of the solution by proving its positivity and boundedness and by explicitely giving its limiting values.
A distributed delay model of viral dynamics
Vecchio A
2005
Abstract
We propose a mathematical model for the dynamics of spread of a viral infection in the organism which incorporates a continuously distributed intracellular delay. The model, consisting of a set of second type Volterra integral equations, can account for viruses having different mechanisms of propagation. We perform the analysis of the qualitative behavior of the solution by proving its positivity and boundedness and by explicitely giving its limiting values.File in questo prodotto:
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