Impact of predator incited fear and prey refuge in a fractional order prey predator model

DOI10.1016/j.chaos.2020.110420zbMath1496.92082OpenAlexW3100587479WikidataQ115579579 ScholiaQ115579579MaRDI QIDQ2128245

Prabir Panja, Sankar Prasad Mondal, Dipesh Barman, Hussam Alrabaiah, Shariful Alam, Jyotirmoy Sinha Roy

Publication date: 21 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110420

zbMATH Keywords

fractional orderCaputo derivativeHopf-bifurcationprey refugefear effect

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Related Items

Stability and Bifurcation Analysis of Two-Species Prey–Predator Model Incorporating External Factors ⋮ Impact of wind in the dynamics of prey-predator interactions ⋮ SPATIOTEMPORAL DYNAMICAL ANALYSIS OF A PREDATOR–PREY SYSTEM WITH FEAR AND GROUP DEFENSE IN PREY ⋮ Dynamics of predator-prey model based on fear effect with bifurcation analysis and chaos control ⋮ Spatiotemporal dynamics of a predator-prey system with fear effect ⋮ Impact of fear effect in a two prey-one predator system with switching behaviour in predation ⋮ Dynamic analysis and bifurcation control of a fractional-order cassava mosaic disease model ⋮ Complex dynamics of a prey-predator interaction model with Holling type-II functional response incorporating the effect of fear on prey and non-linear predator harvesting ⋮ Influence of fear effect on bifurcation dynamics of predator-prey system in a predator-poisoned environment ⋮ Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior ⋮ Impact of fear on delayed three species food-web model with Holling type-II functional response

Uses Software

• Fractional Order Chaotic Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis of a predator-prey system with predator switching
• A note on fractional order derivatives and table of fractional derivatives of some special functions
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Laplace transform and fractional differential equations
• Modelling the fear effect in predator-prey interactions
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
• Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
• Generalized Taylor's formula
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges
• On a Leslie-Gower predator-prey model incorporating a prey refuge
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
• A three species food chain model with fear induced trophic cascade
• Dynamic behavior of a fractional order prey-predator model with group defense
• A new adaptive synchronization and hyperchaos control of a biological snap oscillator
• Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population
• Fear factor in a prey-predator system in deterministic and stochastic environment
• Artificial bee colony optimization-inspired synergetic study of fractional-order economic production quantity model
• The effect of prey refuges on a three species food chain model
• Population dynamics with multiple Allee effects induced by fear factors -- a mathematical study on prey-predator interactions
• Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system
• Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators
• Dynamic behaviors of a Lotka-Volterra predator-prey model incorporating a prey refuge and predator mutual interference
• RISK OF DISEASE-SELECTIVE PREDATION IN AN INFECTED PREY-PREDATOR SYSTEM
• Global Stability in Ecological Systems with Continuous Time Delay
• Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear
• Study on autonomous and nonautonomous version of a food chain model with intraspecific competition in top predator
• The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge
• A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
• A Stage-structured Predator-prey Model of Beddington-DeAngelis Type