Dynamical behaviour of a Lotka-Volterra competitive-competitive-cooperative model with feedback controls and time delays.

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ID: 90811
2019
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Abstract
The aim of this paper is to investigate the dynamical behaviour of a class of three species Lotka-Volterra competitive-competitive-cooperative models with feedback controls and time delays. By developing a new analysis technique, we obtain some sufficient conditions that ensure these models have the dynamical property of permanence. We also give some sufficient conditions that guarantee the global attractivity of positive solutions for this system by constructing a new suitable Lyapunov function. Finally, we give some numerical simulations to illustrate our results in this paper.
Reference Key
wang2019dynamicaljournal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Wang, Changyou;Li, Linrui;Zhang, Qiuyan;Li, Rui;
Journal journal of biological dynamics
Year 2019
DOI
10.1080/17513758.2019.1568600
URL
Keywords
time delay lotka–volterra model feedback control global attractive permanence

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