# American Institute of Mathematical Sciences

December  2011, 4(6): 1499-1509. doi: 10.3934/dcdss.2011.4.1499

## A computational study of avian influenza

 1 College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China 2 Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, United States 3 Mathematics Department, College of William and Mary, Williamsburg, VA 23187, United States

Received  April 2009 Revised  October 2009 Published  December 2010

We propose a PDE model and conduct numerical simulation to study the temporal and spatial dynamics of the Avian Influenza, and investigate its epidemic and possibly pandemic effects in both the bird and human populations. We present several numerical examples to carefully study the population dynamics with small initial perturbations. Our results show that in the absence of external controls, any small amount of initial infection would lead to an outbreak of the influenza with considerably high death rates in both birds and human beings.
Citation: Shu Liao, Jin Wang, Jianjun Paul Tian. A computational study of avian influenza. Discrete & Continuous Dynamical Systems - S, 2011, 4 (6) : 1499-1509. doi: 10.3934/dcdss.2011.4.1499
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