HOPF BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER HOLLING–TANNER PREDATOR-PREY MODEL WITH TIME DELAY
DOI10.1017/S1446181122000025zbMath1501.34069OpenAlexW4226114473WikidataQ114116379 ScholiaQ114116379MaRDI QIDQ5086066
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Publication date: 1 July 2022
Published in: The ANZIAM Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446181122000025
Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Functional-differential equations with fractional derivatives (34K37) Stationary solutions of functional-differential equations (34K21)
Cites Work
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- Fractional Bloch equation with delay
- Stability and Hopf bifurcation analysis on a two-neuron network with discrete and distributed delays
- Allee effect in a discrete-time predator-prey system
- Hopf bifurcation of a ratio-dependent predator-prey system with time delay
- Dynamical behavior of a ratio dependent predator-prey system with distributed delay
- Stability analysis of linear fractional differential system with multiple time delays
- The stability and Hopf bifurcation for a predator-prey system with time delay
- Fractional variational principles with delay within Caputo derivatives
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Time lags and global stability in two-species competition
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A fractional-order infectivity SIR model
- Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
- Stability and Hopf bifurcation analysis of a fractional-order epidemic model with time delay
- Analytical stability bound for a class of delayed fractional-order dynamic systems
- Periodic pulse control of Hopf bifurcation in a fractional-order delay predator-prey model incorporating a prey refuge
- Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
- Periodicity in a nonlinear discrete predator-prey system with state dependent delays
- Dynamics of a Predator-Prey Model
- Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay
- Modeling, Analysis and Bifurcation Control of a Delayed Fractional-Order Predator–Prey Model
- Elements of applied bifurcation theory
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