On approximate solutions for a fractional prey-predator model involving the Atangana-Baleanu derivative
From MaRDI portal
Publication:2144154
DOI10.1186/s13662-020-03140-8zbMath1487.92016OpenAlexW3108902930WikidataQ113241675 ScholiaQ113241675MaRDI QIDQ2144154
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-03140-8
existence and uniqueness of solutionsfractional operatorsAtangana-Baleanu-Caputo fractional derivativepredator and prey modelcomputational and approximation
Related Items
Generalized exponential rational function for distinct types solutions to the conformable resonant Schrödinger’s equation ⋮ A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel ⋮ Dynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivative ⋮ Analytical solitons for the space-time conformable differential equations using two efficient techniques ⋮ On analysis of a nonlinear fractional system for social media addiction involving Atangana-Baleanu-Caputo derivative ⋮ Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire ⋮ Stability of a fractional advection-diffusion system with conformable derivative ⋮ A new model for investigating the transmission of infectious diseases in a prey‐predator system using a non‐singular fractional derivative ⋮ Stability and numerical analysis of a coupled system of piecewise Atangana-Baleanu fractional differential equations with delays ⋮ Stability analysis and existence criteria with numerical illustrations to fractional jerk differential system involving generalized Caputo derivative ⋮ Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative ⋮ Unnamed Item ⋮ Analysis of dual Bernstein operators in the solution of the fractional convection-diffusion equation arising in underground water pollution ⋮ Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model ⋮ Stability of a time fractional advection-diffusion system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A three species dynamical system involving prey-predation, competition and commensalism
- Top-predator interference and gestation delay as determinants of the dynamics of a realistic model food chain
- Complex dynamics in a three-level trophic system with intraspecies interaction
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A predator-prey refuge system: evolutionary stability in ecological systems
- Dynamical analysis of a fractional-order Rosenzweig-MacArthur model incorporating a prey refuge
- Numerical solution of fractional differential equations: a survey and a software tutorial
- Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control
- Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
- Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response
- Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
- Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator-prey model with Allee effect and Holling type-III functional response
- Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability
- Stability and bifurcation for time delay fractional predator prey system by incorporating the dispersal of prey
- Blind in a commutative world: simple illustrations with functions and chaotic attractors
- The effect of the defensive strategy taken by the prey on predator-prey interaction
- A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative
- An application of the Atangana-Baleanu fractional derivative in mathematical biology: a three-species predator-prey model
- A new adaptive synchronization and hyperchaos control of a biological snap oscillator
- A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing
- A new fractional HRSV model and its optimal control: a non-singular operator approach
- Stability analysis of a fractional-order diffused prey-predator model with prey refuges
- Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives
- A new collection of real world applications of fractional calculus in science and engineering
- Impact of prey herd shape on the predator-prey interaction
- Stability and dynamics of a fractional order Leslie-Gower prey-predator model
- Role of Prey Dispersal and Refuges on Predator-Prey Dynamics
- Partial fractional differential equations and some of their applications
- Mathematical Modelling and Analysis of Fractional Epidemic Models Using Derivative with Exponential Kernel
- Mathematical and numerical analysis of a three‐species predator‐prey model with herd behavior and time fractional‐order derivative
- A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
- 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
