Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls

In this paper, we are concerned with a non-autonomous competing model with time delays and feedback controls. Applying the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally as...

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Bibliographic Details
Main Authors: Changjin Xu, Peiluan Li, Ying Guo
Format: Article
Language:English
Published: Taylor & Francis Group 2019-01-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:http://dx.doi.org/10.1080/17513758.2019.1610514
Description
Summary:In this paper, we are concerned with a non-autonomous competing model with time delays and feedback controls. Applying the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally asymptotically stable nonnegative almost periodic solution of the system are established. An example with its numerical simulations is given to illustrate the feasibility of our results.
ISSN:1751-3758
1751-3766