Abstract

Now a day’s plastic has become necessity of human being. In this model, we have deliberated to budget in health policy and recycling of plastic garbage instead of plastic usage; using the system of non-linear differential equations. This study has been elaborated by optimizing investment policy. Health policy for the community and recycling policy in advantages of plastic usage have been invested with a limited budget. Existences of equilibrium points are computed as it play an important role for the decision maker. Local stability of equilibrium points has been performed to scrutinize this dynamical model. Global dynamical behavior is established using graph theory results. Invested optimality system is numerically simulated.

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