Theoretical and numerical analysis of a prey-predator model (3-species) in the frame of generalized Mittag-Leffler law

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Fractional ordinary differential equations (34A08)

Cites Work

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A predator-prey model with a Holling type I functional response including a predator mutual interference
Mathematical and dynamic analysis of a prey-predator model in the presence of alternative prey with impulsive state feedback control
Dynamics of a three species food chain model with Crowley-Martin type functional response
Two-prey one-predator model
Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms
Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
Global stability of a predator-prey system
Global stability of predator-prey interactions
Constant-rate stocking of predator-prey systems
Predator-mediated coexistence and extinction
Some results on global stability of a predator-prey system
A model predator-prey system with functional response
On fractional derivatives with generalized Mittag-Leffler kernels
Chaotic population dynamics and biology of the top-predator
The role of fractional calculus in modeling biological phenomena: a review
Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition
Existence theory and numerical analysis of three species prey-predator model under Mittag-Leffler power law
A mathematical model on fractional Lotka-Volterra equations
A comparison of two predator-prey models with Holling's type I functional response
Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals
Basic Theory of Fractional Differential Equations

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