Homotopy Perturbation Method for Mathematical Modeling of Listeriosis and Anthrax Diseases

Abstract

Listeriosis and Anthrax are fatal zoonotic diseases caused by Listeria monocytogene and Bacillus Anthracis, respectively. In this paper, the mathematical Modeling of Listeriosis and Anthrax diseases is analysed. The mathematical modelling of Listeriosis and Anthrax is formulated into first order system of linear differential Equations and first order nonlinear differential Equations, respectively. The analytical solutions of both model is approached by the Homotopy Perturbation Method (HPM) and also simulation results are found. Finally, the analytical solutions, simulation results are compared and satisfactory agreement is noted.