Traveling wave solutions for the spatial diffusion of bird flu model

Abstract

We describe mathematical model to study bird flu transmission in bird system and human system. The behaviour of this model was analyzed through stability of constant solutions. Our result shows that these stabilities depend on values of some parameters. Furthermore, the model of bird system is reformulated by adding diffusive term. Traveling wave solutions of the diffusive model were investigated. The positive solutions are numerically illustrated with homogeneous Neumann boundary conditions. The result shows that transmission progress can be expressed in form of a traveling wave solutions.