Abstract
In this paper, we present a deterministic model on the transmission dynamics of Lymphatic Filariasis. Non-Standard Finite Difference Method (NSFDM) is employed to attempt the solution of the model. The validity of the NSFDM in solving the model is established by using the computer in-built classical fourth-order Runge-Kutta method. The comparism between Non-Standard Finite Difference Method solution and Runge-Kutta (RK4) were performed which were found to be efficient, accurate and rapidly convergence. Keywords: Lymphatic Filariasis, Non-Standard Finite Difference, Runge-Kutta; Mathematical model
Highlights
Lymphatic filariasis (LF) commonly known as elephantiasis is a painful and profoundly disfiguring disease that has a major social and economic impact in Asia, Africa, the Western pacific and parts of the Americas (Ottesen & Ramachandran, 1995)
There are so many human problems that can be shown as mathematical model in nonlinear ordinary differential equations (NL ODEs), such as epidemiology problems
SIRS epidemic model can be shown as continuous model as a NL ODEs
Summary
Lymphatic filariasis (LF) commonly known as elephantiasis is a painful and profoundly disfiguring disease that has a major social and economic impact in Asia, Africa, the Western pacific and parts of the Americas (Ottesen & Ramachandran, 1995). It is one of the leading causes of permanent and long-term disability in the world (WHO, 1995). Numerical scheme has an important role to approximate differential equation solution which is difficult to solve analytically. Mickens develop non-standard finite difference (NSFD) method that, hopefully, obtain scheme which is consistent with the continuous model
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