School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China
Abstract
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.
Ullah, Z. (2023). Analytical Solution of the Mathematical Model of Dengue Fever by the Laplace-Adomian Decomposition Method. Communications in Nonlinear Analysis, 11(2), 1-17.
MLA
Zakir Ullah. "Analytical Solution of the Mathematical Model of Dengue Fever by the Laplace-Adomian Decomposition Method". Communications in Nonlinear Analysis, 11, 2, 2023, 1-17.
HARVARD
Ullah, Z. (2023). 'Analytical Solution of the Mathematical Model of Dengue Fever by the Laplace-Adomian Decomposition Method', Communications in Nonlinear Analysis, 11(2), pp. 1-17.
VANCOUVER
Ullah, Z. Analytical Solution of the Mathematical Model of Dengue Fever by the Laplace-Adomian Decomposition Method. Communications in Nonlinear Analysis, 2023; 11(2): 1-17.
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