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

Jafaruddin Hamid, Juni Wijayanti Puspita, Nuning Nuraini, Edy Soewono


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, 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.

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Compton, J., Feldman D., Orizaga, S. & Stein, M., A Model for West Nile Virus Transmission VIGRE Summer Program-2007, PhD Dissertation. Mathematics Department, Texas A & M University, Texas, 2007.

Senne, D.A., Pedersen, J.C., Hutto, D.L., Taylor, W.D., Schmitt B.J. & Panigrahy, B., Pathogenicity of West Nile Virus in Chickens, Avian Desease, 44, pp. 642-649, 2000.

Centers for Disease Control (CDC), West Nile Virus. Division of Vector-Borne Infectious Diseases, http://www.cdc.gov/ncidod/dvbid/westnile/, (20 March 2014).

Tabler, T., Wells, J. & Zhai, W. Farmers, Chickens, and West Nile Virus, Mississippi State University, Publication 2735B, 2013.

Cruz-Pacheco, G., Esteva, L., Montaño-Hirose, J.A. & Vargas C., Modelling the Dynamics of West Nile virus, Bull. Math. Biol., 67(6), p. 1157-1163, 2005.

Langevian, S.A., Bunning, M., Davis, B. & Komar, N., Experimental Infection of Chickens as Candidate for West Nile Virus, Imerging Infectious Diseases, 7(4), pp. 726-729, 2001.

Wonham, M.J., De-Camino-Beck, T. & Lewis, M., An Epidemiological Model for West Nile Virus: Invasion Analysis and Control Applications, Proc. Roy. Soc. London, Series B 1538, pp. 501-507, 2004.

Bowman, C., Gumel, A.B., Wu, J., Van-den Driessche, P. & Zhu, H., A Mathematical Model for Assessing Control Strategies Against West Nile Virus, Bull. Math. Biol., 67 (5), pp. 1107-1116, 2005

Lord, C. & Day, J.F., Simulation Studies of St. Louis Encephalitis Virus in South Florida, Vector Borne Zoonotic Diseases, 1(4), pp. 299-306, 2001.

Lord, C. & Day, J.F., Simulation Studies of St. Louis Encephalitis and West Nile Viruses: the Impact of Bird Mortality, Vector Borne Zoonotic Diseases, 1(4), pp. 317-323, 2001.

Diekmann, O. & Heesterbeek, J.A.P., Mathematical Epidemiologi of Infectious Diseases: Model Building, Analysis and Interpretation, Editor in Chief Simon Levin, Princeton University, USA, Wiley Series in Mathematical and Computational Biology, 2000.

Van den Driessche, P. & Watmough, J., Reproduction Numbers and Subthreshold Endemic Equilibria for Compartmental Models of Disease Transmission, Math. Bioscience, 180, pp. 29-48, 2000.

Horn, R.A. & Johnson, C.R., Topics in Matrix Analysis, Corrected Reprint of The 1991 Original, Cambridge University Press, Cambridge, 1994.

DOI: http://dx.doi.org/10.5614%2Fj.math.fund.sci.2014.46.3.7


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