Moschini, Pamela M. (2015) Mathematical models for vector-borne disease: effects of periodic environmental variations. PhD thesis, University of Trento.
|PDF - Doctoral Thesis|
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.
|Item Type:||Doctoral Thesis (PhD)|
|Subjects:||Area 01 - Scienze matematiche e informatiche > MAT/05 ANALISI MATEMATICA|
Area 05 - Scienze biologiche > BIO/07 ECOLOGIA
Area 01 - Scienze matematiche e informatiche > MAT/06 PROBABILITÀ E STATISTICA MATEMATICA
|Repository Staff approval on:||12 Feb 2015 10:04|
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