Global Stability for a Discrete Space-Time Lotka–Volterra System with Feedback Control

Li Xu and Ruiwen Han

Complexity, 2020, vol. 2020, 1-9

Abstract:

In this paper, a discrete space-time Lotka–Volterra model with the periodic boundary conditions and feedback control is proposed. By means of a discrete version of comparison theorem, the boundedness of the nonnegative solution of the system is proved. By the combination of the Volterra-type and quadratic Lyapunov functions, 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:complx:2960503

DOI: 10.1155/2020/2960503

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