Fractional-order model of two-prey one-predator system
From MaRDI portal
Publication:1993011
DOI10.1155/2017/6714538zbMath1426.34011OpenAlexW2750580917WikidataQ115522036 ScholiaQ115522036MaRDI QIDQ1993011
Tamer Nabil, Ahlam Abdullah Al-Raezah, Mohammed Fathy Elettreby
Publication date: 5 November 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2017/6714538
Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)
Related Items (7)
Lyapunov functions for fractional-order systems in biology: methods and applications ⋮ Ulam stabilities of nonlinear coupled system of fractional differential equations including generalized Caputo fractional derivative ⋮ Boyd-Wong contractions in F-metric spaces and applications ⋮ Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions ⋮ A discrete fractional-order prion model motivated by Parkinson's disease ⋮ A multidimensional fixed-point theorem and applications to Riemann-Liouville fractional differential equations ⋮ Bifurcation based-delay feedback control strategy for a fractional-order two-prey one-predator system
Cites Work
- Unnamed Item
- Successive approximation to solutions of stochastic differential equations with jumps in local non-Lipschitz conditions
- Methods and models in mathematical biology. Deterministic and stochastic approaches
- On the fractional signals and systems
- Fractional calculus for scientists and engineers.
- Two-prey one-predator model
- Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- A fractional-order differential equation model of HIV infection of \(CD4^{+}\) T-cells
- Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- The development of fractional calculus 1695-1900
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Option pricing beyond Black-Scholes based on double-fractional diffusion
- Fractional differential equations and the Schrödinger equation
- Numerical methods for multi-term fractional (arbitrary) orders differential equations
- Front dynamics in fractional-order epidemic models
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order
- Linear differential equations of fractional orders
- Methods of small parameter in mathematical biology
- Introduction to Mathematical Biology
- Mathematical Biology
- Nonlinear functional differential equations of arbitrary orders
- Analysis of fractional differential equations
This page was built for publication: Fractional-order model of two-prey one-predator system