Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population

DOI10.1016/j.chaos.2020.109960zbMath1490.92046OpenAlexW3035055142WikidataQ115579606 ScholiaQ115579606MaRDI QIDQ2122895

Behzad Ghanbari, Salih Djilali

Publication date: 7 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.109960

zbMATH Keywords

Hopf bifurcationnumerical schemepredator-prey modelcomputational biologyfractional-derivativepredator-infection

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33)

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Cites Work

• Unnamed Item
• Global dynamics of a predator-prey model with defense mechanism for prey
• Modeling herd behavior in population systems
• A heroin epidemic model: very general non linear incidence, treat-age, and global stability
• On a fractional order Ebola epidemic model
• Qualitative analysis of second-order models of tumor-immune system competition
• Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior
• Numerical solution of fractional differential equations: a survey and a software tutorial
• Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response
• On fractional order dengue epidemic model
• Novel algorithms to estimate nonlinear FDEs: applied to fractional order nutrient-phytoplankton-zooplankton system
• Social behavior-induced multistability in minimal competitive ecosystems
• Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability
• Predator-prey dynamics with square root functional responses
• Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition
• A novel strategy of bifurcation control for a delayed fractional predator-prey model
• A fractional order model for Ebola virus with the new Caputo fractional derivative without singular kernel
• New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative
• On the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approach
• A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing
• Stability analysis of a fractional-order diffused prey-predator model with prey refuges
• Dynamical behaviour of fractional-order predator-prey system of Holling-type
• Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives
• Impact of prey herd shape on the predator-prey interaction
• A fractional-order epidemic model with time-delay and nonlinear incidence rate
• Shape effects on herd behavior in ecological interacting population models
• Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods
• Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders
• On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions
• Role of Prey Dispersal and Refuges on Predator-Prey Dynamics
• Analysis of a nonautonomous eco‐epidemic diffusive model with disease in the prey
• Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect
• Mathematical and numerical analysis of a three‐species predator‐prey model with herd behavior and time fractional‐order derivative
• Numerical solution of predator-prey model with Beddington-DeAngelis functional response and fractional derivatives with Mittag-Leffler kernel
• A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence
• EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY

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