Dynamics of generalist predator in a stochastic environment: effect of delayed growth and prey refuge

DOI10.1016/J.AMC.2015.06.098zbMath1410.34136OpenAlexW2290302785WikidataQ115598291 ScholiaQ115598291MaRDI QIDQ668228

Rashmi Agrawal, Ranjit Kumar Upadhyay, Debaldev Jana

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.098

zbMATH Keywords

Hopf bifurcationprey refugemultiple time delaysgeneralist predatorGaussian white-noisemodified Holling-Tanner model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Bifurcation theory of functional-differential equations (34K18)

Related Items (21)

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Cites Work

• Unnamed Item
• Collective behavior and evolutionary games -- an introduction
• Hopf bifurcations of a ratio-dependent predator-prey model involving two discrete maturation time delays
• Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure
• Hopf bifurcation and non-hyperbolic equilibrium in a ratio-dependent predator-prey model with linear harvesting rate: analysis and computation
• Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay
• On the linearization of nonlinear Langevin-type stochastic differential equations
• Theory of functional differential equations. 2nd ed
• The statistical mechanics of strategic interaction
• Global qualitative analysis of a ratio-dependent predator-prey system
• Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
• Global stability and bifurcation of time delayed prey-predator system incorporating prey refuge
• Stability and global Hopf bifurcation analysis on a ratio-dependent predator-prey model with two time delays
• Pattern formation in predator-prey model with delay and cross diffusion
• Analysis of a delayed predator-prey model with ratio-dependent functional response and quadratic harvesting
• The effects of random fluctuating environment on interacting species with time delay
• The importance of being discrete: Life always wins on the surface
• Oscillation and Chaos in Physiological Control Systems
• Stochastic Gomatam Model of Interacting Species: Non-Equilibrium Fluctuation and Stability
• Periodic solutions of planar systems with two delays
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting

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