In this paper, a predator-prey system with Michaelis-Menten functional response on time scales is investigated.
Since (2) incorporates (1) and (3) as special cases, we call (2) the predator-prey dynamic system with Beddington-DeAngelis functional response on time scales.
In this section, we introduce some new definitions and establish new characterization results of compact sets in functional spaces on time scales which will play an important role in studying abstract discontinuous dynamic equations on time scales.
However, until recently legislators have been able to make compromises, avoiding the rancor that often poisons other major bills in the modern era and passing functional packages on time.
In this section, we will introduce some notions and functional spaces on time-varying domains, following [11], and derive the Boissonade system with additive noise on the time-varying domain.
Furthermore, by means of the almost periodic functional hull theory on time scales and Lyapunov functional, some criteria are obtained for the existence, uniqueness and global attractivity of almost periodic solutions of the model.
In recent years, there has been much research activity concerning the oscillation of solutions of various functional differential equations and functional dynamic equations on time scales, and we refer the reader to the papers [3 31] and the references therein as examples of recent results on this topic.
Recently, some authors have paid much attention to the existence of positive solutions for functional dynamic equations on time scales [1 8], especially for the p-Laplacian functional dynamic equations on time scales [1, 3 8].
Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales.
