We use discrete time models to represent the dynamics of two interacting populations, a “valuable” population and a “pest” population. We investigate optimal control in the form of decreasing the growth rate of the “pest” population with the goal of maximizing the “valuable” population while minimizing the cost of the control. We compare different types of growth functions for the “valuable” po...

In this work, nonlinear diabetes controlled model with and without complications in a population is considered. The dynamic behavior of by including constant control studied investigated. existence all its possible fixed points investigated as well the conditions local stability considered are set. We also find optimal strategy order to reduce number people having over finite period time. A num...