Regarding the dynamics in a Lotka-Volterra predator-prey model

The present paper considers three species Lotka-Volterra model. It studies the localstability of the equilibria and the permanence of the system. By applying the LaSalleInvariance Principle, Lyapunov direct method, the researcher investigates the globalasymptotic stability of a positive equilibrium.

Keywords:

Di erential equations , stability , permanence , Lotka-Volterra model , Lyapunov method