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Periodic solutions of competition Lotka–Volterra dynamic system on time scales

✍ Scribed by Liang Zhang; Hong-Xu Li; Xiao-Bing Zhang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
605 KB
Volume
57
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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