Dynamical Analysis of a Fractional Order Prey–Predator Model in Crowley–Martin Functional Response with Prey Harvesting

In this paper, we investigate a fractional-order predator–prey model incorporating prey harvesting. In a non-delayed model, the Crowley–Martin functional response is studied. We first prove the existence, uniqueness, non-negativity and boundedness of the solutions for the proposed model. Furthermore...

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Bibliographic Details
Published in:Engineering proceedings 2023-11, Vol.56 (1), p.300
Main Authors: Deepak Nallasamy Prabhumani, Muthukumar Shanmugam, Siva Pradeep Manickasundaram, Nandha Gopal Thangaraj
Format: Article
Language:English
Subjects:
Crowley–Martin functional response
existence and uniqueness
stability
Online Access:Get full text
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Summary:In this paper, we investigate a fractional-order predator–prey model incorporating prey harvesting. In a non-delayed model, the Crowley–Martin functional response is studied. We first prove the existence, uniqueness, non-negativity and boundedness of the solutions for the proposed model. Furthermore, the existence of various equilibrium points is analyzed to examine the local asymptotically stable properties, and the suitable Lyapunov function is used to study the globally asymptotic stability. Finally, some numerical simulations are verified for the analytic results.
ISSN:2673-4591
DOI:10.3390/ASEC2023-15975