DOI Number : 10.5614/j.math.fund.sci.2014.46.3.7
Hits : 7

A Dynamical Model for Transmission of West Nile Virus in Chicken-Mosquito Interaction

Jafaruddin1,2, Juni Wijayanti Puspita3, Nuning Nuraini1 & Edy Soewono1

1Department of Mathematics, Institut Teknologi Bandung
Jalan Ganesha 10, Bandung 40132, Indonesia
2Department of Mathematics, Universitas Nusa Cendana
Jalan Adisucipto Kampus, Penfui, Kupang 80111, Nusa Tenggara Timur
3Department of Mathematics, Universitas Tadulako, Kampus Bumi Tadulako,
Jalan Soekarno-Hatta Km 9, Mauti Kolore, Palu Sulawesi Tengah 94118
Email: jafaruddin.hamid@yahoo.com


Abstract. The West Nile virus (WNV) is transmitted through the bites of infected mosquitoes. The spread of WNV in chicken populations is quite unique. Although chickens can contract the virus through a mosquito bite, they immediately build immunity to the virus and do not show physical symptoms of illness and hence chickens are only temporary carriers of the virus. Recently, experimental results have shown that mosquitoes do not change fecundity behavior, yet results indicate that resistance to infection is associated with a fitness cost in terms of mosquito survival. We constructed a host-vector type transmission model for WNV in mosquito-chicken populations. The basic reproductive ratio, , was obtained. From sensitivity analysis of it was shown that under certain conditions this ratio decrease with an increase of the lifetime of mosquito infection.

Keywords: basic reproductive ratio; dynamical model; mosquito-chicken interaction; stability analysis; WNV transmission.

Download Article
 
Bahasa Indonesia | English
 
 
 

Notification:

Begin on 10 October 2014 this website is no longer activated for article process in Journal of Mathematical and Fundamental Sciences, Journal of Engineering and Technological Sciences, Journal of ICT Research and Applications and Journal of Visual Art and Design. The next process will be proceeded under new website at http://journals.itb.ac.id.

For detail information please contact us to: journal@lppm.itb.ac.id.

 
       
       
       ITB Journal Visitor Number #9905469       
       Jl. Tamansari 64, Bandung 40116, Indonesia Visitor IP Address #       
       Tel : +62-22-250 1759 ext. 121 2011 Institut Teknologi Bandung       
       Fax : +62-22-250 4010, +62-22-251 1215 XHTML + CSS + RSS       
       E-mail : journal@lppm.itb.ac.id or proceedings@lppm.itb.ac.id Developed by AVE