Culling structured hosts to eradicate vector-borne diseases

Pages: 301 - 319, Volume 6, Issue 2, April 2009

doi:10.3934/mbe.2009.6.301       Abstract        Full Text (845.1K)

Xinli Hu - Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049, China (email)
Yansheng Liu - Department of Mathematics, Shandong Normal University, Jinan, 250014, China (email)
Jianhong Wu - Center for Disease Modeling, York University, Toronto, Ontario, M3J 1P3, Canada (email)

Abstract: A compartmental model is developed, in the form of a nonautonomous system of delay differential equations subject to impulses at specific times, for mosquito-born disease control involving larvicides and insecticide sprays. Sufficient conditions in terms of the frequencies and rates of larvicides and insecticide sprays are derived, and numerical simulations are provided to illustrate the sharpness of these disease eradication conditions.

Keywords:  Culling, West Nile virus, structured population, disease eradication, delay.
Mathematics Subject Classification:  Primary: 34K45, 34K25; Secondary: 92D30, 34K60.

Received: February 2007;      Accepted: September 2008;      Published: March 2009.