Dengue model described by differential inclusions

Authors:
Jorge Barrios;Alain Piétrus;Aymée Marrero;Héctor de Arazoza;Gonzalo Joya
Affiliations:
Université des Antilles et de la Guyane, LAMIA and Universidad de La Habana, Facultad de Matemática y Computación;Université des Antilles et de la Guyane, LAMIA;Universidad de La Habana, Facultad de Matemática y Computación;Universidad de La Habana, Facultad de Matemática y Computación;Universidad de Málaga, Dpto. Tecnología Electrónica, E.T.S. Ing. Telecomunicación
Venue:
IWANN'11 Proceedings of the 11th international conference on Artificial neural networks conference on Advances in computational intelligence - Volume Part II
Year:
2011

Citing 4
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Abstract

In this paper we formulate a differential inclusion to model an epidemic outbreak of Dengue fever in the Cuban conditions. The model takes into account interaction of human and mosquito populations as well as vertical transmission in the mosquito population. Finally, we propose a mathematical framework allowing us to make suitable predictions about the populations of humans, mosquitoes and eggs infected during the epidemic time.