Almost periodic dynamics of a delayed three-level food-chain model. Issue 10 (2nd October 2016)

• Record Type: Journal Article
• Authors: Li, Yaqin; Hao, Fang
• Is Part Of: International journal of control. Volume 89:Issue 10(2016)
• Page Start: 2040
• Page End: 2054
• Publication Date: 2016-10-02
• Subjects: Almost periodic solution -- stability -- coincidence degree -- food chain; 34K14 -- 47H10 -- 92D25; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1147605
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: This paper is concerned with the dynamics of a three-level food-chain model with time delays. By means of Mawhin's continuation theorem of coincidence degree theory, we investigate the existence of positive almost periodic solutions in a three-level food-chain model with time delays. A set of sufficient conditions for the existence of at least one positive almost periodic solution of the model is obtained. In addition, the global asymptotical stability of the almost periodic solution of the above model is also studied. Finally, two examples and simulations are also given to illustrate the main results in this paper.