ABSTRACT

This chapter provides some differential equation mathematical models as to how these populations change, construct the corresponding solutions, analyze the properties of these solutions, and indicate some applications. Its applications have been extended to model phenomena for chemical reactions, harvesting of animals such as fish, resource recovery, technological developments, and social and cultural practices. It is based on the assumption that the population under study is well-mixed, i.e., spatially homogeneous. There are many single population systems for which harvesting takes place. Fowl or fish farms are examples of such systems. Harvesting is a removal of a certain number of the population during each time period that the harvesting takes place. There are many single population systems for which harvesting takes place. Fowl or fish farms are examples of such systems. Harvesting is a removal of a certain number of the population during each time period that the harvesting takes place.