Global Stability for a Semidiscrete Logistic System with Feedback Control

Li Xu, Shanshan Lou and Ruiwen Han

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-7

Abstract:

In this paper, a semidiscrete logistic model with the Dirichlet boundary conditions and feedback controls is proposed. By means of the sub- and supper-solution method and eigenvalue theory, the unique positive equilibrium is proved. By constructing a suitable Lyapunov function, the global asymptomatic stability of the unique positive equilibrium is investigated. Finally, numerical simulations are presented to verify the effectiveness of the main results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:3189515

DOI: 10.1155/2020/3189515

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