On a discrete West Nile epidemic model
AUTOR(ES)
Jang, Sophia R.-J.
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2007
RESUMO
A West Nile epidemic model in discrete-time is proposed. The model consists of two interacting populations, the vector and the avian populations. The avian population is classified into susceptible, infective, and recovered classes while an individual vector is either susceptible or infective. The transmission of the disease is assumed only by mosquitoes bites and vertical transmission in the vector population. The model behavior depends on a lumpedparameter R0. The disease-free equilibrium is locally asymptotically stable if R0 < 1. The system is uniformly persistent and possesses a unique endemic equilibrium if R0 > 1. Consequently, the disease can persist in the populations if R0 > 1.
Documentos Relacionados
- Infectious cDNA Clone of the Epidemic West Nile Virus from New York City
- West Nile virus infections are here! Are we prepared to face another flavivirus epidemic?
- West Nile virus heads west
- The Israeli strain IS-98-ST1 of West Nile virus as viral model for West Nile encephalitis in the Old World
- WEST NILE FEVER IN BRAZIL: SPORADIC CASE, SILENT ENDEMIC DISEASE OR EPIDEMIC IN ITS INITIAL STAGES?