Abstract:First, the stability analysis of Nicholson difference equation and its computer simulations were presented in this paper. The effects of host fecundity (F), area of discovery(a) and initial population size on the stability of the system is disscussed.Second, the homologous differential equation is derived. The theoretical analysis of its steady-state stability and the topological graph of its phase trajectory is given.Finally, the results of Nicholson difference equation, computer simulations and differenti...