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.
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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
Published:
02 November 2023
by MDPI
in The 4th International Electronic Conference on Applied Sciences
session Energy, Environmental and Earth Science
Abstract:
Keywords: Eco epidemiological model, Crowley martin functional response, Beddington DeAngelis response, Stability, Equilibrium.