Global stability of a Leslie-Gower-type fractional order tritrophic food chain model

DOI10.7153/fdc-2019-09-11zbMath1438.34159arXiv1905.11035OpenAlexW2961536429MaRDI QIDQ5229315

Shuvojit Mondal, Nandadulal Bairagi, Gaston Mandata N'Guérékata

Publication date: 14 August 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.11035

zbMATH Keywords

chaosbifurcationperiodic solutionecological modellocal and global stabilityfractional order differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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) Global stability of solutions to ordinary differential equations (34D23) Fractional ordinary differential equations (34A08) Integral transforms, operational calculus (44Axx)

Related Items (4)

Local and global dynamics of a fractional-order predator-prey system with habitat complexity and the corresponding discretized fractional-order system ⋮ Study of a discretized fractional-order eco-epidemiological model with prey infection ⋮ On fractional mean value theorems associated with Hadamard fractional calculus and application ⋮ Stability analysis and controlling chaos of fractional-order three-species food chain model with fear

Cites Work

• Unnamed Item
• Topics in fractional differential equations
• Recent history of fractional calculus
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• The effect of vaccines on backward bifurcation in a fractional order HIV model
• On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
• Fractional order calculus: basic concepts and engineering applications
• Study of a Leslie-Gower-type tritrophic population model
• Dynamics of a fractional order HIV infection model with specific functional response and cure rate
• Paradox of enrichment: a fractional differential approach with memory
• Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Volterra-type Lyapunov functions for fractional-order epidemic systems
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Analysis of a fractional order eco-epidemiological model with prey infection and type 2 functional response
• A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solution
• Advances in Fractional Calculus
• Homotopy perturbation method applied to the solution of fractional Lotka-Volterra equations with variable coefficients

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