Dynamic analysis of a fractional order prey-predator interaction with harvesting
From MaRDI portal
Publication:1791461
DOI10.1016/j.apm.2013.04.024zbMath1438.92066OpenAlexW2000174221WikidataQ115587763 ScholiaQ115587763MaRDI QIDQ1791461
Publication date: 10 October 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.04.024
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40)
Related Items (53)
Climate change effects on fractional order prey-predator model ⋮ Analysis of fractional fishery model with reserve area in the context of time-fractional order derivative ⋮ A nonlinear fractional model to describe the population dynamics of two interacting species ⋮ On the reasonability of linearized approximation and Hopf bifurcation control for a fractional-order delay Bhalekar-Gejji chaotic system ⋮ Dynamical analysis and chaos control of the fractional chaotic ecological model ⋮ Memory effect on Bazykin's prey-predator model: stability and bifurcation analysis ⋮ Bifurcation for a fractional-order Lotka-Volterra predator-prey model with delay feedback control ⋮ Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality ⋮ Fractional order biological snap oscillator: analysis and control ⋮ Fractional chaotic cryptovirology in blockchain -- analysis and control ⋮ Dynamics, chaos control, and synchronization in a fractional-order Samardzija-Greller population system with order lying in \((0,2)\) ⋮ Dynamical analysis of a fractional-order Rosenzweig-MacArthur model incorporating a prey refuge ⋮ Periodic pulse control of Hopf bifurcation in a fractional-order delay predator-prey model incorporating a prey refuge ⋮ Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion ⋮ Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model ⋮ Analysis and control of the fractional chaotic Hopfield neural network ⋮ A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel ⋮ Dynamic analysis of a harvested fractional-order biological system with its discretization ⋮ Dynamical analysis for a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest ⋮ Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge ⋮ Dynamical behaviors of a fractional-order three dimensional prey-predator model ⋮ Stability and Bifurcation of a Fishery Model with Crowley–Martin Functional Response ⋮ Dynamical behavior of fractional-order Hastings-powell food chain model and its discretization ⋮ Application of fractional theory in quantum back propagation neural network ⋮ 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 ⋮ Unconditionally convergent and superconvergent FEMs for nonlinear coupled time-fractional prey-predator problem ⋮ Dynamic Analysis of a Delayed Fractional-Order SIR Model with Saturated Incidence and Treatment Functions ⋮ The dynamics of a delayed generalized fractional-order biological networks with predation behavior and material cycle ⋮ Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator-prey model with Allee effect and Holling type-III functional response ⋮ A fractional model for the dynamics of competition between commercial and rural banks in Indonesia ⋮ A fractional-order epidemic model with time-delay and nonlinear incidence rate ⋮ Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem ⋮ Stability and Hopf bifurcation analysis of a fractional-order epidemic model with time delay ⋮ Dynamic analysis of fractional-order singular Holling type-II predator-prey system ⋮ Stability analysis of a fractional order modified Leslie-Gower model with additive Allee effect ⋮ Stability analysis of a fractional online social network model ⋮ Discrete and continuous fractional persistence problems -- the positivity property and applications ⋮ A discrete fractional-order prion model motivated by Parkinson's disease ⋮ Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition ⋮ Global stability analysis of fractional-order gene regulatory networks with time delay ⋮ A bioeconomic differential algebraic predator-prey model with nonlinear prey harvesting ⋮ Hopf bifurcation and stability analysis of the Rosenzweig-MacArthur predator-prey model with stage-structure in prey ⋮ Stability of fractional-order prey-predator system with time-delay and Monod-Haldane functional response ⋮ Dynamic analysis of a fractional-order single-species model with diffusion ⋮ Fractional-order delayed predator-prey systems with Holling type-II functional response ⋮ Dynamics of a fractional epidemiological model with disease infection in both the populations ⋮ Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders ⋮ Dynamic analysis of fractional-order predator-prey biological economic system with Holling type II functional response ⋮ Dynamical behaviours of stage-structured fractional-order prey-predator model with Crowley-Martin functional response ⋮ Existence of solutions for some two-point fractional boundary value problems under barrier strip conditions ⋮ Dynamics of Fractional Holling Type-II Predator-Prey Model with Prey Refuge and Additional Food to Predator ⋮ Fractional modeling and control in a delayed predator-prey system: extended feedback scheme ⋮ Hopf bifurcation controlling for a fractional order delayed paddy ecosystem in the fallow season
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcation analysis of a modified Holling-Tanner predator-prey model with time delay
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Fractional dynamics of populations
- Predator-prey interaction with harvesting: mathematical study with biological ramifications
- Multiple periodic solutions of a delayed stage-structured predator-prey model with non-monotone functional responses
- The role of transmissible diseases in the Holling-Tanner predator-prey model
- The dynamics of an age structured predator-prey model with disturbing pulse and time delays
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Qualitative analysis of a ratio-dependent Holling-Tanner model
- Fractals and fractional calculus in continuum mechanics
- Long memory processes and fractional integration in econometrics
- On a numerical scheme for solving differential equations of fractional order
- A mathematical model on fractional Lotka-Volterra equations
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Fractional calculus in the transient analysis of viscoelastically damped structures
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- DETERMINISTIC AND STOCHASTIC ANALYSIS OF A NONLINEAR PREY-PREDATOR SYSTEM
- Global Stability for a Class of Predator-Prey Systems
- Advances in Fractional Calculus
- Some noises withI/fspectrum, a bridge between direct current and white noise
This page was built for publication: Dynamic analysis of a fractional order prey-predator interaction with harvesting
