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; E. VargeesKaviyan

D. Maheskumar Department of Science and Humanities, Sri Krishna College ofTechnology, Coimbatore-641042, Tamil Nadu, India
T. Jayakumar Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamil Nadu, India
S. Sujitha Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamil Nadu, India
E. VargeesKaviyan Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamil Nadu, India

Article ID: 2415

Keywords: with-in-host model for dengue fever; variation of parameter; stability analysis; numerical methods

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

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