Abstract
This paper focuses on the analytical and numerical solutions of
dynamic models for dengue fever. The considered model consists of a system of coupled non-linear differential equations. Homotopy Perturbation
Method (HPM) and Runge Kutta Method of Order 4 (RK4) are applied
to obtain analytical and numerical solutions, respectively. Moreover, the
positivity of the solution is proved. The results of the suggested methods
are validated with the exact solution for simplified model equations. Furthermore, the proposed methods are applied to the considered model using
the real time data of Lahore (years 2011-2014), Pakistan. The results are
found to be in agreement with the available exact solution and real time
data. HPM results approach the exact solution by including higher order
polynomials. The parametric study of dengue cases are performed. Moreover, the synchronization between the simulated results and real time data
of dengue cases verifies the correctness of model formulation. On thebasis of these results, it is concluded that RK4 and HPM are suitable techniques to solve a non-linear dynamical system for dengue.
Shumaila Javeed, Ali Ahmed, Mansoor Shaukat Khan, Muhammad Asif Javed. (2018) Stability Analysis and Solutions of Dynamical Models for Dengue, Punjab University Journal of Mathematics, Volume 50, Issue 2.
-
Views
538 -
Downloads
49
Article Details
Volume
Issue
Type
Language
