Dynamics of the Discrete Model of West-Nile like Epidemics
by
V. L. Kocic
Xavier University of Louisiana, LA
Coauthors: T. Darensburg

The system of non-autonomous nonlinear difference equations is used to model the spread of West-Nile like epidemics. The disease is transmitted by mosquitoes to both birds and humans; mosquitoes can be infected only from birds; infected birds and infected humans could recover, while infected mosquitoes not. Model includes the interaction between populations of mosquitoes, birds, and humans. It was investigated how various spraying strategies affect the dynamics of the spread of epidemics. The analogous of well-known “Threshold Theorem” is also obtained.

Date received: March 18, 2003