Article thumbnail

Well-posedness of a ratio-dependent Lotka–Volterra system with feedback control

By Changyou Wang, Yuqian Zhou, Yonghong Li and Rui Li


Abstract The main purpose of this article is to consider a Lotka–Volterra predator–prey system with ratio-dependent functional responses and feedback controls. By using a comparison theorem and constructing a suitable Lyapunov function as well as developing some new analysis techniques, we establish a set of easily verifiable sufficient conditions which guarantee the permanence of the system and the global attractivity of a positive solution for the predator–prey system. Furthermore, some conditions for the existence, uniqueness, and stability of a positive periodic solution for the corresponding periodic system are obtained by using the fixed point theory and some new analysis method. In additional, some numerical solutions of the equations describing the system are given to verify that the obtained criteria are new, general, and easily verifiable

Topics: Predator-prey system, Feedback control, Permanence, Attractivity, Periodic solution, Analysis, QA299.6-433
Publisher: SpringerOpen
Year: 2018
DOI identifier: 10.1186/s13661-018-1039-2
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.