Projecting the Growth Population of a Community Using Second Order Differential Equation (A Case study of Damaturu Local Government Area)

Population is a central issue affecting both physical and social environment.As the population of a community increases, there is greater inevitable pressure of demands on the environment.When the rate of population growth increases, the pressure on the natural sources, particularly basics needs like food and water increases.For effective allocation of limited available resources in any given community, it is important to know the population of that community.This will help the government in its community development planning.This project examined two major models (Malthusian model and Logistic model) for projecting population growth of a given community, and determined the model that best fit Damaturu local Government area of Yobe State within the period of 2009-2018.The logistic model considered being best model for population projection; the analysis shows that Njiwaji/Gwange ward has the highest growth rate of 0.0758 and the percentage increase within the range of 5.47% -6.70% for the period under study.While, Bindigari/Pawari ward has the lowest growth rate of 0.09834 with of each ward in the study area, with the percentage increase within the range of 7.09% -8.76% for the period under study.Therefore, logistic model should be employed for continuous projections of the population for proper appropriation of limited available resources.