Finding the Balance: Population, Natural Resources and Sustainability

As population pressure in most of the world's regions increase, the demand for natural resourcesrises. Countries' strategies to deal with natural resources shortages depend on local conditions, including topography, the extent of resources scarcity, available financial incomes, and technical and institutional capacity. Overall, developing a mix of strategies that increase supply, manage demand, and reduce long-term pressures on natural resources is urgent more than ever before, as world’s population pressures continue to rise.This paper is exploring the relationship between the supply needs for a number of populations within a timeline frame in order to reach a balanced point that achieves the sustainable use of natural resources. The study creates an innovative approach that combines and modifies two well-known mathematical models. The first is Lotka- VolterraModel which is a non-linear, differential equations regularly used to describe the dynamics of biological systems in which two species interrelate, one a predator and one its prey. The approach was first created by Alfred J.Lotka, 1925, and modified statistically by Vito Volterra, 1926.The second Model is known as Supply and Demand Model which has been set by David Ricardo based on the influence of demand and supply on price.

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