Modeling and analysis in a prey–predator system with commercial harvesting and double time delays
作者：
Highlights：
• Both maturation delay for prey and gestation delay for predator are considered.
• Positivity of solutions and uniform persistence of system are investigated.
• Combined dynamic effects of double time delays and economic interest are studied.
• Existence and control for singularity induced bifurcation are investigated.
• Local stability analysis and properties of Hopf bifurcation are studied.
摘要
•Both maturation delay for prey and gestation delay for predator are considered.•Positivity of solutions and uniform persistence of system are investigated.•Combined dynamic effects of double time delays and economic interest are studied.•Existence and control for singularity induced bifurcation are investigated.•Local stability analysis and properties of Hopf bifurcation are studied.
论文关键词：Maturation delay,Gestation delay,Economic interest,Singularity induced bifurcation,State feedback control,Hopf bifurcation
论文评审过程：Received 27 October 2015, Accepted 16 January 2016, Available online 12 February 2016, Version of Record 12 February 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.01.039
