Open AccessPersistence of a Lotka-volterra Ratio-dependent Predator-prey Model with Delays and Feedback Controls
Author(s) -
Lili Jia,
Changyou Wang
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/790/1/012129
Subject(s) - persistence (discontinuity) , comparison theorem , predator , predation , volterra equations , control theory (sociology) , mathematics , functional response , ecology , computer science , biology , nonlinear system , physics , engineering , artificial intelligence , geotechnical engineering , control (management) , quantum mechanics
The aim of this article is to study the dynamical behavior of a Lotka-volterra 3-species ratio-dependent predator-prey system with delays and feedback controls. By using the comparison theorem, the differential inequalities and developing new analysis method, some sufficient conditions are obtained to ensure the permanence of the solutions for the delayed predator-prey system, and some known results are generalized.