On the LaSalle's Invariant Set for Five-Dimensional Lotka Volterra Prey-Predator Chain Systems

In this paper. we discuss n-dimensional Lotka - Volterra prey predator chain systems and prove that the locally, asymptotically stable equilibrium point of a five dimensional system is a globally sta ble one. Namely, we prove that Chen Lansun's conjecture is true for the case n=5.