A Mathematical Modeling on the Stability Analysis of Heart Disease Dynamics

Abstract

Heart disease, pose a significant global health challenge, demanding innovative approaches for prevention and control. This research develops a sophisticated mathematical model that integrates lifestyle, and environmental exposure to enhance our understanding of heart disease dynamics. The model integrates the of interconnected ordinary differential equations to elucidate population-level dynamics in disease transmission and agent-based modeling to simulate individual-level variations in lifestyle, genetic predispositions, and environmental exposures. The model assumes linear additive of risk factors, homogeneity within populations, and stable parameters over time. It incorporates lifestyle modifications, genetic predispositions, and environmental exposures as key components, recognizing their impact on heart disease risk. In this paper, a model incorporating the reproduction number, endemic equilibrium, and disease-free equilibrium has been developed utilizing stability analysis methods, including the Hurwitz stability criterion and linear stability analysis.