Approximate solutions of the logistic equation and Ulam stability

In the present work, we deal with the logistic equation and its stability with respect to perturbations. In fact, for perturbations below a certain threshold, we provide an estimate for the difference between solutions of the exact and perturbed models, which scales linearly with the magnitude of the perturbation. This actually proves the conditional Ulam stability of the logistic equation. (C) 2018 Elsevier Ltd. All rights reserved.