Analytical Solution of the Mathematical Model of Dengue Fever by the Laplace-Adomian Decomposition Method

Document Type : Original Article


School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China


This paper presents and rigorously analyzes a deterministic mathematical model of the Dengue virus in a

population, incorporating a nonlinear incidence function. The model considers five compartments: susceptible (S h), symptomatic infection (Ih), asymptomatic infection (IhA), recovered (Rh), and partial immunity

(S hk). The female mosquito population is divided into two compartments: susceptible (S ν)and infected (Iν).

An algorithm is provided to calculate a series-type solution to the problem using the Laplace Adomian Decomposition technique. The convergence of this technique is also analyzed. Approximations of the solutions

for various compartments are calculated using a few terms. The reliability and simplicity of the method are

illustrated with numerical examples and plots. The Laplace Adomian Decomposition algorithm is shown to

yield very accurate approximate solutions using only a few iterations. Fourth-order Runge-Kutta solutions

are also compared with the solutions obtained by the Laplace decomposition scheme.


Main Subjects