A novel mathematical model for heart disease with time delay

This paper proposes a new approach to delay differential equations and combat the growing heart disease epidemic. A stability analysis of heart disease modeling is conducted using approximate state data, focusing on its connection to cardiovascular disease, heart attacks, and strokes. The model considers the connection of heart disease to specific infections. Analysis is done on qualitative behaviors, like the presence and uniqueness of solutions. In addition, the positivity and boundedness of the solution are investigated. The stability requirements and equilibrium points are satisfied. Since the existing solutions are asymptotically stable locally when <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msub> <mml:mo>&lt;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> and globally for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msub> <mml:mo>&gt;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> , we next calculate the fundamental reproduction ratio, also known as the reproduction number. In addition, locally stable steady-state solutions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msub> <mml:mo>&lt;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> are found to be included in infection. Finally, the theoretical insights about heart disease are ultimately confirmed through empirical numerical data.