Affordable Access

Access to the full text

Dynamics in a ratio-dependent Lotka–Volterra competitive-competitive-cooperative system with feedback controls and delays

Authors
  • Muhammadhaji, Ahmadjan1
  • Halik, Azhar1
  • Li, Hong-Li1
  • 1 Xinjiang University, Shengli Road, Urumqi, 830046, P.R. China , Urumqi (China)
Type
Published Article
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Publication Date
May 01, 2021
Volume
2021
Issue
1
Identifiers
DOI: 10.1186/s13662-021-03364-2
Source
Springer Nature
Keywords
License
Green

Abstract

This study investigates the dynamical behavior of a ratio-dependent Lotka–Volterra competitive-competitive-cooperative system with feedback controls and delays. Compared with previous studies, both ratio-dependent functional responses and time delays are considered. By employing the comparison method, the Lyapunov function method, and useful inequality techniques, some sufficient conditions on the permanence, periodic solution, and global attractivity for the considered system are derived. Finally, a numerical example is also presented to validate the practicability and feasibility of our proposed results.

Report this publication

Statistics

Seen <100 times