Dynamics of generalist predator in a stochastic environment: Effect of delayed growth and prey refuge
作者：
Highlights：
• Modified ratio-dependent Holling-Tanner model with prey refuge is considered.
• Delays are taken in logistic growth of prey as feedback mechanism and gestation period of predator.
• Model system exhibits Hopf-bifurcation when the delay parameters cross their critical values.
• Stochastic analysis of the model system is carried out by incorporating Gaussian white noise.
• Using Fourier transform technique, fluctuation and stability of the stochastic model is studied.
摘要
•Modified ratio-dependent Holling-Tanner model with prey refuge is considered.•Delays are taken in logistic growth of prey as feedback mechanism and gestation period of predator.•Model system exhibits Hopf-bifurcation when the delay parameters cross their critical values.•Stochastic analysis of the model system is carried out by incorporating Gaussian white noise.•Using Fourier transform technique, fluctuation and stability of the stochastic model is studied.
论文关键词：Prey refuge,Generalist predator,Modified Holling–Tanner model,Multiple time delays,Hopf bifurcation,Gaussian white-noise
论文评审过程：Received 13 February 2015, Revised 19 June 2015, Accepted 22 June 2015, Available online 25 July 2015, Version of Record 25 July 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.06.098
