Time delays and chaos in two competing species revisited

作者：

Highlights：

• The Lotka-Volterra competition model is reconstructed with maturation delays.

• Under the identical delays, the steady state loses stability if the delays are larger than some critical value.

• The stability switching curve is analytically constructed and numerically verified in the case of dint delays.

• The unstable system can generate various dynamics including Hopf cycles, multistability and chaos.

摘要

•The Lotka-Volterra competition model is reconstructed with maturation delays.•Under the identical delays, the steady state loses stability if the delays are larger than some critical value.•The stability switching curve is analytically constructed and numerically verified in the case of dint delays.•The unstable system can generate various dynamics including Hopf cycles, multistability and chaos.

论文关键词：Lotka-Volterra system,Competition system,Two delays,Hopf bifurcation,Stabilliy loss and gain,Stability switching curve

论文评审过程：Received 10 April 2019, Revised 26 October 2020, Accepted 30 November 2020, Available online 19 December 2020, Version of Record 19 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125862