时标上带有反馈控制的非自治两种群竞争系统的概周期解

Abstract

Abstract: In this paper, applying the time scales calculus theory, we first study the permanence for a non-autonomous two species competitive system with feedback controls on time scales. Based on the permanence result, by the comparison theorems of the differential equation and constructing a suitable Lyapunov functional, we establish sufficient conditions on the existence of almost periodic solution of the considered system. Moreover, an example along with its numerical simulation is employed to illustrate effectiveness of our main results.

Key words: Almost periodic solution, Permanence, Competitive model, Feedback controls, Time scales

CLC Number:

O175.13

Li Zhouhong, Zhang Fengshuo, Cao Jinde, Alsaedi Ahmed, Alsaadi Fuad E. Almost Periodic Solution for a Non-Autonomous Two Species Competitive System with Feedback Controls on Time Scales[J].Acta mathematica scientia,Series A, 2017, 37(4): 730-750.

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Almost Periodic Solution for a Non-Autonomous Two Species Competitive System with Feedback Controls on Time Scales

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