A mathematical model of vertically transmitted vector diseases

Authors

  • Antonella Lupica Università degli Studi di Catania
  • Annunziata Palumbo Università degli Studi di Messina

DOI:

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

Abstract

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.

Author Biographies

  • Antonella Lupica, Università degli Studi di Catania
    Dipartimento di Matematica e Informatica, V.le A. Doria 6, 95125 Catania
  • Annunziata Palumbo, Università degli Studi di Messina
    Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, V.le F. D’Alcontres 31, 98166 Messina
Trinacria

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Published

2018-11-30

Issue

Vol 96, SUPPL NO 3 (2018): M.M.SE.OR.2017

Section

M.M.SE.OR. 2017 (Conference Proceedings)

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