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Abstract
We cannot have a sustainable planet without stabilizing population. As human population increases, humans demand for resources like water, land, trees, and energy also increases. Unfortunately, the price for all this “increase and demand” is paid by the other endangered plants, animals and natural resources in an increasingly volatile and dangerous climate. Charles Darwin’s famous quote “survival of the fittest” which states that individuals will compete (with members of their own or other species) for limited resources. The successful ones are more likely to survive. This necessitates a mathematical model by using differential equations to predict the future population in terms of growth rate and population figures with reasonably virtuous accuracy. The present work deals with applications of differential equations in population growth using exponential and logistic growth models, with which we can study the changes in size of populations through time.