The Periodic Solution Of N-dimensional Lotka-volterra Systems

This thesis deals with the periodic solution of n-dimensional Lotka-volterra systems. Firstly, we discuss the stability of the periodic solution of n-dimensional Lotka-volterra systems, then simplify the complex systems and analyse the stable periodic orbits of n-dimensional differential systems and n-dimensional Lotka-volterra systems. Then on the basis of these conclusions, the bifurcation and stability of periodic solution for 4-dimersonal and 5-dimensional systems will be discussed in detail. Finally, by using these results, we rebuild a 5-dimensional Lotka-volterra system.