39. Modelling the Competition Between Health-Conscious Behaviours and Institutionalized Stressors Using Nonlinear Population Dynamics

This study presents a novel mathematical framework to analyse the dynamics of healthy lifestyle adoption under persistent corporate and sociocultural pressures. Drawing upon principles from ecological modelling, we developed a system of nonlinear ordinary differential equations that captures how socioeconomic stressors suppress healthy habits. The model incorporates a stress-induced behavioural suppression term and a Holling Type II functional response to model systemic influence. We obtained analytical solutions using perturbation techniques like HPM and NHPM, which were validated for accuracy through MATLAB simulations. Our mathematical analysis reveals the existence, local stability, and bifurcation behaviour of the coexistence equilibrium, identifying critical thresholds for behavioural sustainability. Sensitivity analysis of key parameters provides crucial insights into the system’s dynamics. This quantitative framework can inform proactive policy interventions aimed at building healthier, more resilient communities in the face of modern systemic stressors.