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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 30, Issue 3, Pages 277 - 295 (September 2023)
http://dx.doi.org/10.17654/0974324323015

ANALYTICAL AND NUMERICAL APPROACHES TO SOLVE A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS FOR THE SPREAD OF DENGUE FEVER OF WITH-IN HOST MODEL

D. Maheskumar, T. Jayakumar, S. Sujitha and E. Vargees Kaviyan

Abstract:

In recent years, many mathematical models have been developed and investigated based on real-life issues in engineering, medicine, agriculture, and many other fields. Moreover, the numerical approach was used to solve it due to its intricacy. However, in reality, this methodology merely offers an approximate solution, which is close to an exact solution but not exact. This article demonstrates how to find the analytical solutions of the system of nonlinear ordinary differential equations precisely by considering the mathematical model for the spread of dengue fever of the with-in-host model. Furthermore, stability analysis and numerical simulation were also provided. Finally, graphs from the analytical method and numerical simulation are compared to assess the solutions of the system’s validity. This work may be helpful to many researchers in obtaining an analytical solution to the nonlinear dynamics.

Keywords and phrases:

with-in-host model for dengue fever, variation of parameter, stability analysis, numerical methods.

Received: March 22, 2023; Accepted: June 9, 2023; Published: July 4, 2023

How to cite this article: D. Maheskumar, T. Jayakumar, S. Sujitha and E. Vargees Kaviyan, Analytical and numerical approaches to solve a system of nonlinear ordinary differential equations for the spread of dengue fever of with-in-host model, Advances in Differential Equations and Control Processes 30(3) (2023), 277-295. http://dx.doi.org/10.17654/0974324323015

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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