The Impact of Mosquito-Bird Interaction on the Spread of West Nile Virus to Human Populations
West Nile Virus (WNV) is a rapidly spreading and potentially fatal disease that presents a public health challenge. In this study, we develop a mixed Susceptible-Infected and Susceptible-Infected-Recovered model for WNV dynamics that includes mosquito, bird and human populations. We calculate the basic reproductive number (R0) and establish the existence of possible multiple endemic equilibria. The sensitivity of R0 to parameters is studied. The possibility of multiple equilibria when R0 < 1 (backward bifurcations) implies that standard control measures are likely to be inadequate to control an epidemic.
Diego Chowell-Puente, Universidad de Colima
Pablito Delgado, University of New Mexico Albuquerque
David Perez, Loyola Marymount University
Cynthia Hixahuary Sanchez Tapia, Universidad de Colima
Fabio Sánchez, Cornell University
David Murillo, Arizona State University