EventsThe 4th International Electronic Conference on Applied Sciences
Event submissions
Published
with-doi10.3390/ASEC2023-15812
This submission belongs to the session F. Energy, Environmental and Earth Science of the event The 4th International Electronic Conference on Applied Sciences
Published date
02 Nov, 2023
Academic Editor
author-avatarSimeone Chianese
Citation
MEGALA T, NANDHA GOPAL T, SIVA PRADEEP M, YASOTHA A, AN ECO-EPIDEMIOLOGICAL MODEL INVOLVING PREY REFUGE AND PREY HARVESTING WITH BEDDINGTON-DEANGELIS, CROWLEY MARTIN AND HOLLING TYPE II FUNCTIONAL RESPONSES, in Proceedings of The 4th International Electronic Conference on Applied Sciences, 27 October–10 November 2023, MDPI: Basel, Switzerland, doi: 10.3390/ASEC2023-15812
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AN ECO-EPIDEMIOLOGICAL MODEL INVOLVING PREY REFUGE AND PREY HARVESTING WITH BEDDINGTON-DEANGELIS, CROWLEY MARTIN AND HOLLING TYPE II FUNCTIONAL RESPONSES

MEGALA T 1
NANDHA GOPAL T 1
SIVA PRADEEP M 1
image
YASOTHA A 2
1. SRI RAMAKRISHNA MISSION VIDYALAYA COLLEGE OF ARTS AND SCIENCE, COIMBATORE, TAMILNADU ,INDIA, India
2. Department of Mathematics, United Institute of Technology, Coimbatore, Tamilnadu, India, India
Abstract

This paper represents a three-species food web model based on the interactions between
susceptible prey, infected prey, and predator species. It is considered that in the absence of
predator species and prey species grow logistically. Predators consume susceptible and infected
prey in the form of Crowley-Martin and Beddington-DeAngelis Functional Responses. Also,
infected prey consumes susceptible prey in the form of Holling type II interactions.
Positiveness, boundedness and positive invariance are examined. All biologically feasible
equilibrium points are investigated. The local stability of these equilibrium points and their
global stability are analysed by suitable Lyapunov functions of these equilibrium points.
Finally, numerical solutions are analyzed according to our findings.

Keywords
Eco epidemiological model
Crowley martin functional response
Beddington DeAngelis response
Stability
Equilibrium.
Manuscript
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