The chikungunya disease: modeling, vector and transmission global dynamics

D Moulay; M A Aziz-Alaoui; M Cadivel

doi:10.1016/j.mbs.2010.10.008

The chikungunya disease: modeling, vector and transmission global dynamics

Math Biosci. 2011 Jan;229(1):50-63. doi: 10.1016/j.mbs.2010.10.008. Epub 2010 Nov 9.

Authors

D Moulay¹, M A Aziz-Alaoui, M Cadivel

Affiliation

¹ Laboratoire de Mathématiques Appliquées, Université du Havre, 25 rue Philippe Lebon, B.P. 540, 76058 Le Havre Cedex, France. djamila.moulay@univ-lehavre.fr

PMID: 21070789
DOI: 10.1016/j.mbs.2010.10.008

Abstract

Models for the transmission of the chikungunya virus to human population are discussed. The chikungunya virus is an alpha arbovirus, first identified in 1953. It is transmitted by Aedes mosquitoes and is responsible for a little documented uncommon acute tropical disease. Models describing the mosquito population dynamics and the virus transmission to the human population are discussed. Global analysis of equilibria are given, which use on the one hand Lyapunov functions and on the other hand results of the theory of competitive systems and stability of periodic orbits.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Aedes / physiology
Aedes / virology
Algorithms
Alphavirus Infections* / transmission
Animals
Chikungunya Fever
Computer Simulation
Disease Vectors*
Humans
Models, Biological*
Population Dynamics