تحليل الاستقرار لنظام فولتيرا – لوتكا بنمو لوجيستي باستخدام طريقتي ليابونوف

The mathematical models of competition between species are one of the most important problems for population dynamics with multi species. In this paper, we give stability analysis for a Lotka-Volterra system with logistic growth by Lyapunov methods. We also present new Lyapunov functions for second Lyapunov method. Many numerical simulations have been carried out on computer algebra system: Maple and Matlab to illustrate the behavior of the considered system for a long time.