Delay differential model of one-predator two-prey system with Monod-Haldane and holling type II functional responses

作者：

Highlights：

• Two discrete time-delays are incorporated to justify the reaction time of predator with each prey.

• The permanence of such system is proved. Local and global stabilities of interior steady states are discussed.

• Hopf bifurcation analysis in terms of time-delay parameters is investigated, and threshold parameters τ1* and τ2* are obtained.

• Sensitivity analysis, which estimates how the model predictions can vary to small changes in the parameters of the model, is also studied. Some numerical simulations are provided to show the effectiveness of the theoretical results.

摘要

•In this paper, we study the dynamics of a delay differential model for three species preypredator system (of two preys and one predator), with Monod-Haldane and Holling type IIfunctional responses, and cooperation between the two-teams of prays against predation.•Two discrete time-delays are incorporated to justify the reaction time of predator with each prey.•The permanence of such system is proved. Local and global stabilities of interior steady states are discussed.•Hopf bifurcation analysis in terms of time-delay parameters is investigated, and threshold parameters τ1* and τ2* are obtained.•Sensitivity analysis, which estimates how the model predictions can vary to small changes in the parameters of the model, is also studied. Some numerical simulations are provided to show the effectiveness of the theoretical results.

论文关键词：Hopf-bifurcation,Permanence,Sensitivity analysis,Stability analysis,Time-delay

论文评审过程：Received 7 October 2020, Revised 4 December 2020, Accepted 19 December 2020, Available online 12 January 2021, Version of Record 12 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125919