Periodic solutions of competition Lotka-Volterra dynamic system on time scales
In this paper, we rigorously establish an existence theorem of periodic solutions for the competition of Lotka-Volterra dynamic systems with a time delay and diffusion on time scales. It is shown that the existence of periodic solutions depend on the parameters of the model. It is also shown that a known result in the literature can can carry over quite easily to its discrete counterpart, and a much more accurate result can be obtained when studying the dynamic system on time scales. Moreover, one example is given to illustrate the result obtained. (C) 2009 Elsevier Ltd. All rights reserved.
periodic solution lotka-volterra dynamic system time scales l-compact coincidence degree