Abstract

Population dynamics is the branch of mathematics that studies the size and age composition of populations as dynamical systems, the biological and environmental processes driving them such as birth and death rates and by immigration and emigration. In this paper, We are discussed how to read mathematical models and how to analyze them with the ultimate aim that we can critically judge the assumptions and the contributions of such models whenever we encounter them in your future biological research. Mathematical models are used in all areas of biology. All models in this paper are formulated in ordinary differential equations (ODEs). These will be analyzed by computing steady states. We developed the differential equations by ourselves following a simple graphical procedure, depicting each biological process separately. Experience with an approach for writing models will help us to evaluate models proposed by others.