DISCRETE POPULATION GROWTH MODEL WITH CONSTANT FORCED REPRODUCTION AND CONSTANT HARVESTING

A generalization of discrete logistic growth model is considered. Constant harvesting for human consumption of species is taken into account. At the same time, forced reproduction of the same species is also considered. The constant cycle of forced pregnancy and birth creates a huge surplus of species. A general framework of fixed point’s stability is carried out taking all possible conditions of harvesting and reproduction. For evenness, limited harvesting as well as balanced forced reproduction is advisable.