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

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.

Grantor dc:publisher

Università degli studi di Trento

Year dc:date

2015

Author dc:creator

• Moschini, Pamela Mariangela

Contributors dc:contributor

• Pugliese, Andrea

• Settore MAT/05 - Analisi Matematica
• Settore BIO/07 - Ecologia
• Settore MAT/06 - Probabilita' e Statistica Matematica

Statement dc:rights

• info:eu-repo/semantics/openAccess
• license:Tutti i diritti riservati (All rights reserved)

Language dc:language

eng

Identifier

http://dx.doi.org/10.15168/11572_367753
10.15168/11572_367753

OAI identifier oai:identifier

oai:iris.unitn.it:11572/367753