Work

Dynamics of an Eco-epidemiological model with infected prey in fractional order

Year: 2025

Type: article

Abstract: In this article, a model of a diseased prey-predator with fractional order has been studied. The model has been used as a functional response of Holling type Ⅱ in a non-delayed model. The eigenvalues of a model are used to test its stability using critical points. Furthermore, the boundedness, uniqueness, existence, and positivity of the solutions have been studied. The locally asymptotically stable model has been analyzed using the critical points, and the globally asymptotically stable model has been examined using the Lyapunov function. The occurrence of Hopf bifurcation for fractional order has been examined. Finally, numerical simulations are presented to confirm the analytical solutions.

Source: Mathematical Modelling and Control

DOI: 10.3934/mmc.2025020

Authors: Deepak Nallasamy Prabhumani, Muthukumar Shanmugam, Siva Pradeep Manickasundaram, Nandha Gopal Thangaraj

Institutions: Ramakrishna Mission Vidyalaya, Sri Ramakrishna College of Arts and Science

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

OpenAlex ID: W4412898569

FWCI: 1.661

Cites: 23

Cited by: 2

Related to: 10