Discretizations of a perturbed logistic equation

The logistic equation has been used to model a population where the intrins ic rate of growth is a linearly decreasing function of the population densi ty. We propose some models arising from discretizations of perturbed logist ic equation where external factors such as harvesting and migration are inc luded. The different discretizations exhibit diverse dynamic asymptotic beh avior when dependence on two control parameters are allowed. We also give a n alternative method to provide with new models that produce better approxi mating solutions.