A study of population dynamics using Lotka-Volterra model with nonlinear phenomena inside it has been investigated. Nonlinear phenomena have been studied including logistic effect, competition, and cyclic dynamics of the Lotka- Volterra model. Logistic effect as known as logistic model is a single species growth model along with carrying capacity as species capacity at equilibrium state. Logistic effect in Volterra’s model yields phenomena of competition behavior dynamics. Competition behavior dynamics at two-dimensional case include coexistence phenomena and degeneration with ? as an interaction parameter between species. Value of ? affects on overall dynamics in considered system. Competition phenomena with cyclic dynamical behavior occured in predator-prey case known as the Lotka-Volterra model. In addition, spiral dynamical behavior is obtained when the Lotka-Volterra model is combined with the logistic model.

Kata Kunci : Lotka-Volterra; Logistic model; Nonlinear ODE.