Dynamical analysis of a new fractional-order predator–prey system with Holling type-III functional

Dynamical analysis of a new fractional-order predator–prey system with Holling type-III functional

Abstract In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory and by constructing a suitable Lyapunov functional, we obtain some sufficient conditions for the existence and uniquene...

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Bibliographic Details
Main Authors: Lihua Dai, Junjie Wang, Yonggen Ni, Bin Xu
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
Fractional-order
Predator–prey model
Asymptotic stability
Lyapunov functional
Online Access:https://doi.org/10.1186/s13662-020-03169-9
Description
Summary:Abstract In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory and by constructing a suitable Lyapunov functional, we obtain some sufficient conditions for the existence and uniqueness of positive solutions and the asymptotic stability of the positive equilibrium to the system. Finally, we give some numerical examples to illustrate the feasibility of our results.
ISSN:1687-1847

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