On non-selective harvesting of a multispecies fishery incorporating partial closure for the populations
作者：
Highlights：
• We describe a prey–predator fishery model incorporating partial closure for the populations.
• The criterion for the existence of interior equilibrium point, local and global stability of the system are derived.
• The existence of bionomic equilibrium is discussed.
• The optimal system is derived and solved numerically using an iterative method with Runge–Kutta fourth-order scheme.
• Numerical simulations are carried out to verify the analytically proved results.
摘要
Highlights•We describe a prey–predator fishery model incorporating partial closure for the populations.•The criterion for the existence of interior equilibrium point, local and global stability of the system are derived.•The existence of bionomic equilibrium is discussed.•The optimal system is derived and solved numerically using an iterative method with Runge–Kutta fourth-order scheme.•Numerical simulations are carried out to verify the analytically proved results.
论文关键词：Prey–predator,Beddington DeAngelis functional response,Partial closure,Global stability,Optimal control
论文评审过程：Available online 30 July 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.06.065
