Almost periodic solution for a population dynamic system on time scales with an application (Q2289489)

Summary: This paper is concerned with an almost population dynamic system on time scales. Using the theory of calculus on time scales and some mathematical methods, several comparison theorems on time scales are established. Based on these results, we derive some sufficient conditions for permanence of the system. Moreover, using the properties of almost periodic functions and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence of uniformly, asymptotically stable almost periodic solution of the system are obtained. As an application, we apply the obtained results to a single-species system with distributed delay on time scales. Finally, two examples together with their numerical simulations are presented to illustrate the feasibility and effectiveness of the results.