Diffusion Model related to  Low and High Pathogenic Avian Influenza in Bird Populations and its Numerical Study

The ODE model related to dynamics of low pathogenic avian influenza (LPAI) and high pathogenic avian influenza (HPAI) in bird population was proposed by Maia Martcheva and others. In this talk, I will cover following two aspects: 1) The model which includes  diffusion, 2) The numerical study like Finite Element Method (FEM) and Finite Difference Method(FDM) (Implicit and Explicit) to understand the temporal as well as spatial behavior of the proposed model. The comparison of these numerical method suggest that FEM is less expensive and gives more accurate results.