Dynamical Analysis of a Fractional Predator-Prey Model with Holling-Type Functional Response and Stage Structure

In this study, we consider a fractional-order predator-prey model with a Holling-type functional response and stage structure for the prey. This study involved analyzing the existence and uniqueness of nonnegative solutions of the system. Conditions for the local asymptotic stability of the equilibria are established, and controllers are designed for the global asymptotic stability of the interior equilibrium. Furthermore, numerical simulations are performed to illustrate the results.

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Publication Details

Journal
Funkcialaj Ekvacioj
Published
2025-12-11
DOI
https://doi.org/10.1619/fesi.68.271
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.00

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article

Dynamical Analysis of a Fractional Predator-Prey Model with Holling-Type Functional Response and Stage Structure

Funkcialaj Ekvacioj
Mathematical and Theoretical Epidemiology and Ecology Models
article

Dynamical Analysis of a Fractional Predator-Prey Model with Holling-Type Functional Response and Stage Structure

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Abstract

In this study, we consider a fractional-order predator-prey model with a Holling-type functional response and stage structure for the prey. This study involved analyzing the existence and uniqueness of nonnegative solutions of the system. Conditions for the local asymptotic stability of the equilibria are established, and controllers are designed for the global asymptotic stability of the interior equilibrium. Furthermore, numerical simulations are performed to illustrate the results.

Funkcialaj EkvaciojVol. 68(3)
Heilongjiang University (CN)
Heilongjiang University, National Natural Science Foundation of China, China Scholarship Council
Openalex Percentile: Top 29%
Mathematical and Theoretical Epidemiology and Ecology Models
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