A delayed fractional order food chain model with fear effect and prey refuge
From MaRDI portal
Publication:1998175
DOI10.1016/J.MATCOM.2020.06.015OpenAlexW3037879327WikidataQ115569074 ScholiaQ115569074MaRDI QIDQ1998175
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.06.015
Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx) General theory for ordinary differential equations (34Axx) Geometric function theory (30Cxx)
Related Items (21)
Stability and Hopf bifurcation analysis for a three-species food chain model with fear and two different delays ⋮ Bifurcation control of a delayed fractional-order prey-predator model with cannibalism and disease ⋮ A robust numerical solution to a time-fractional Black-Scholes equation ⋮ Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays ⋮ Impact of fear in a delay-induced predator-prey system with intraspecific competition within predator species ⋮ Impact of optimal vaccination and social distancing on COVID-19 pandemic ⋮ Bifurcation dynamics of a reaction–diffusion predator–prey model with fear effect in a predator‐poisoned environment ⋮ Contrasting effects of prey refuge on biodiversity of species ⋮ Impact of fear effect in a two prey-one predator system with switching behaviour in predation ⋮ New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays ⋮ Dynamic analysis and bifurcation control of a fractional-order cassava mosaic disease model ⋮ The impact of fear effect on the dynamics of a delayed predator–prey model with stage structure ⋮ Bazykin's predator-prey model includes a dynamical analysis of a Caputo fractional order delay fear and the effect of the population-based mortality rate on the growth of predators ⋮ Stability analysis of a fractional ordered COVID-19 model ⋮ Modelling the fear effect in a two-species predator-prey system under the influence of toxic substances ⋮ Hopf and Bogdanov–Takens Bifurcations of a Delayed Bazykin Model ⋮ Comparison between two tritrophic food chain models with multiple delays and anti-predation effect ⋮ Evolutionary dynamics of a competitive fractional order model under the influence of toxic substances ⋮ Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior ⋮ Time-dependent and Caputo derivative order-dependent quasi-uniform synchronization on fuzzy neural networks with proportional and distributed delays ⋮ BIFURCATION BEHAVIORS OF A FRACTIONAL-ORDER PREDATOR–PREY NETWORK WITH TWO DELAYS
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Stability analysis of Caputo fractional-order nonlinear systems revisited
- On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
- Mittag-Leffler functions and their applications
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Laplace transform and fractional differential equations
- Modelling the fear effect in predator-prey interactions
- Fractional-order delayed predator-prey systems with Holling type-II functional response
- Stability analysis of linear fractional differential system with multiple time delays
- Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
- Generalized Taylor's formula
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods
- Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
- Stability for Caputo fractional differential systems
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
- Simple food chain in a chemostat with distinct removal rates
- Impact of the fear effect in a prey-predator model incorporating a prey refuge
- Dynamics of an additional food provided predator-prey system with prey refuge dependent on both species and constant harvest in predator
- TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
- A Michaelis–Menten Predator–Prey Model with Strong Allee Effect and Disease in Prey Incorporating Prey Refuge
- Analysis of a predator–prey model with herd behavior and disease in prey incorporating prey refuge
- Modeling, Analysis and Bifurcation Control of a Delayed Fractional-Order Predator–Prey Model
- Modeling the Effect of Fear in a Prey–Predator System with Prey Refuge and Gestation Delay
- Advances in Fractional Calculus
This page was built for publication: A delayed fractional order food chain model with fear effect and prey refuge
