PERMANENCE AND UNIFORMLY ASYMPTOTICAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR A SINGLE-SPECIES MODEL WITH FEEDBACK CONTROL ON TIME SCALES-Reference-Cited by-同舟云学术

PERMANENCE AND UNIFORMLY ASYMPTOTICAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR A SINGLE-SPECIES MODEL WITH FEEDBACK CONTROL ON TIME SCALES

Published:2014-03 Issue:01 Volume:07 Page:1450004
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Li Yongkun¹,Yang Li¹,Zhang Hongtao²

Affiliation:

1. Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P. R. China

2. Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China

Abstract

In this paper, using the time scale calculus theory, we first discuss the permanence of a single-species model with feedback control on time scales. Based on the permanence result, by the Lyapunov functional method, we establish sufficient conditions for the existence and uniformly asymptotical stability of almost periodic solutions of the considered model. Moreover, we present an illustrative example to show the effectiveness of obtained results.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557114500041

Reference13 articles.

1. Dynamic Equations on Time Scales

2. Some new results on the permanence and extinction of nonautonomous Gilpin–Ayala type competition model with delays

3. Positive periodic solution for non-autonomous competition Lotka–Volterra patch system with time delay

4. Positive periodic solutions of discrete Lotka–Volterra competition systems with state dependent and distributed delays

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Relaxed Lyapunov–Razumikhin Theorem for Retarded Differential Equation on Time Scale: Application to Single-Species System;IEEE Transactions on Systems, Man, and Cybernetics: Systems;2024-01

2. Permanence and Global Attractivity of a Non-autonomous Single Species System with Michaelis-Menten-Type Feedback Control;WSEAS TRANSACTIONS ON SYSTEMS;2023-05-22

3. IMPACT OF HUNTING COOPERATION AND FEEDBACK CONTROL FOR A NONLINEAR HYBRID LESLIE–GOWER PREDATOR-PREY SYSTEM ON NONUNIFORM TIME DOMAIN;Rocky Mountain Journal of Mathematics;2023-04-01

4. A New Formulation of the Single Species Feedback Control System;2023 International Conference on Control, Artificial Intelligence, Robotics & Optimization (ICCAIRO);2023-04

5. Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales;International Journal of Biomathematics;2022-05-30