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

Jafaruddin Hamid (Mathematics Department, Bandung Institute of Technology, Indonesia)
Juni Wijayanti Puspita (Mathematics Department, Bandung Institute of Technology, Indonesia Mathematics Department, Nusa Cendana University, Kupang, Indonesia)
Nuning Nuraini (Mathematics Department, Bandung Institute of Technology, Indonesia)
Edy Soewono (Mathematics Department, Bandung Institute of Technology, Indonesia)

Journal of Mathematical and Fundamental Sciences
Vol. 46 No. 3 (2014)

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 afitness cost in terms of mosquito survival. We constructed a host-vector type transmission model for WNV in mosquito-chicken populations. The basicreproductive ratio, Ro , was obtained. From sensitivity analysis of Ro it was shown that under certain conditions this ratio decrease "“ with an increase of the lifetime of mosquito infection.