Mathematical Modeling and Stability Analysis of the Disease-free Equilibrium of Heart Disease Transmission and Prevention Dynamics
Keywords:
Heart Disease, Mathematical Modeling, Stability Analysis, Disease-Free Equilibrium (DFE), EpidemiologyAbstract
Heart disease, commonly referred to as Cardiovascular disease (CVD), encompasses a diverse array of disorders that impact the heart and vascular system, resulting in significant health consequences, including myocardial infarctions, cerebrovascular accidents, and cardiac insufficiency. This condition may present without symptoms during its initial phases, thereby rendering early identification and preventive measures essential. This research aims to formulate a mathematical model to analyze the dynamics associated with heart disease, with a particular emphasis on the disease-free equilibrium (DFE) and its stability criteria. The model employs a compartmental structure to represent the population dynamics of heart disease. The eigenvalues exhibited negativity, which signifies that the DFE possesses local asymptotic stability. The DFE signifies the condition in which heart disease is eradicated from the population. It supports the notion that lowering the prevalence of heart disease requires early intervention and risk factor management.
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