一个具有时滞和反馈控制的单种群模型的全局稳定性(英文)

Global Stability of a Delayed Single-Species Population Model with Feedback Control

研究一个具有时滞和反馈控制的单种群模型.通过构造适当的Lyapunov泛函,得到了保证系 统的一个正平衡点全局渐近稳定的充分条件,并对一个实例进行了数值模拟.

In this paper, a delayed single-species population model with feedback control is investigated. By means of a suitable Lyapunov functional, sufficient conditions are derived for the global stability of a positive equilibrium of the system. Numerical simulation is presented to illustrate our main result.