Firstly, I proposed a very simple SIS/SIR model for a general vector-borne disease transmission considering constant population sizes over the season, where contact between the host and the vector responsible of the transmission is assumed to occur only during the summer of each year. I discussed two different types of threshold for pathogen persistence that I explicitly computed: a "short-term threshold" and a "long-term threshold". Later, I took into account the seasonality of the populations involved in the transmission. For a single season, the model consists of system of non linear differential equations considering the various stages of the infection transmission between the vector and the host population. Assuming the overwintering in the mosquito populations, I simulated the model for several years. Finally, I studied the spatial spread of a vector-borne disease throught an impusive reaction-diffusion model and I showed some simulations.

Mathematical models for vector-borne disease: effects of periodic environmental variations / Moschini, Pamela Mariangela. - (2015), pp. 1-98.

Mathematical models for vector-borne disease: effects of periodic environmental variations.

Abstract

Firstly, I proposed a very simple SIS/SIR model for a general vector-borne disease transmission considering constant population sizes over the season, where contact between the host and the vector responsible of the transmission is assumed to occur only during the summer of each year. I discussed two different types of threshold for pathogen persistence that I explicitly computed: a "short-term threshold" and a "long-term threshold". Later, I took into account the seasonality of the populations involved in the transmission. For a single season, the model consists of system of non linear differential equations considering the various stages of the infection transmission between the vector and the host population. Assuming the overwintering in the mosquito populations, I simulated the model for several years. Finally, I studied the spatial spread of a vector-borne disease throught an impusive reaction-diffusion model and I showed some simulations.
Scheda breve Scheda completa Scheda completa (DC)
2015
XXVI
2013-2014
Matematica (29/10/12-)
Mathematics
Pugliese, Andrea
Inglese
Settore MAT/05 - Analisi Matematica
Settore BIO/07 - Ecologia
Settore MAT/06 - Probabilita' e Statistica Matematica
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Tipologia: Tesi di dottorato (Doctoral Thesis)
Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11572/367753`