A mathematical model of vertically transmitted vector diseases

Antonella Lupica, Annunziata Palumbo


A mathematical model of vector-borne infectious diseases is presented, which takes into account the local interactions between reservoirs and vectors, as well as the transmission from vectors to dilution hosts. In the model, vectors possess the ability to keep the virus within their own population through vertical transmission. The existence and the stability of disease free and endemic equilibria, together with the existence of backward bifurcation, are discussed.

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DOI: https://doi.org/10.1478/AAPP.96S3A11

Copyright (c) 2018 Antonella Lupica, Annunziata Palumbo

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