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Periodic solutions of competition Lotka-Volterra dynamic system on time scales. (English) Zbl 1186.34129
Summary: 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.
##### MSC:
 34N05 Dynamic equations on time scales or measure chains 37N25 Dynamical systems in biology 92D25 Population dynamics (general) 34C25 Periodic solutions of ODE 34C60 Qualitative investigation and simulation of models (ODE) 39A10 Additive difference equations
##### References:
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