| Abstract: |
| This study develops a mathematical model to examine obesity dynamics within a population, incorporating genetics, social, behavioral, and environmental factors. The model segments the population into susceptible, obese, and recovered but at-risk classes, using a system of nonlinear ordinary differential equations to describe transitions between them. Key mechanisms include social influence, diet, physical activity, and public health interventions. Theoretical results identify equilibrium states and the conditions under which obesity prevalence persists or declines. Bifurcation analysis illustrates how intervention strategies-such as promoting healthy lifestyles or reducing social reinforcement of unhealthy behaviors-affect long-term outcomes. The findings suggest that both social norms and individual behavior strongly shape obesity dynamics, and that sustained, multifaceted interventions are required to reduce prevalence. This framework offers a quantitative tool for policymakers to design and evaluate targeted obesity prevention programs. |
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