A numerical solution of two-dimensional fox-rabies dynamics of advection type

Abstract

This article analyses a mode of two-dimensional fox-rabies dynamics with advection terms. The fox population is divided into two species: susceptible S and infective I. Finite-difference techniques are employed to compute the numerical solutions of this model. Iterative schemes with second-order accuracy are derived and their convergence is investigated by using the maximum principle analysis. An illustrative numerical example with graphical reis given to highlight the efficiency of the derived numerical schemes.

Keywords:

• fox-rabies
• finite-difference methods
• advection terms
• truncation errors
• stability analysis

2000 AMS Subject Classifications::

• 35B35
• 35L45

Acknowledgement

The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for its funding of this research through the Research Group Project No. RGP-VPP-117.