EventsThe 4th International Electronic Conference on Applied Sciences
Published
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
26 Oct, 2023
Academic Editor
author-avatarSimeone Chianese
Citation
RAJA N, MuthuKumar S, Siva Pradeep M, Deepak N.P., EFFECT OF A FEAR ON A DISEASED PREY-PREDATOR MODEL WITH PREDATOR HARVESTING, in Proceedings of The 4th International Electronic Conference on Applied Sciences, 27 October–10 November 2023, MDPI: Basel, Switzerland, doi: 10.3390/ASEC2023-15248
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EFFECT OF A FEAR ON A DISEASED PREY-PREDATOR MODEL WITH PREDATOR HARVESTING

MuthuKumar S 2
1. Sri Ramakrishna Mission Vidyalaya College of Arts and Science, India
2. SRI RAMAKRISHNA MISSION VIDYALAYA COLLEGE OF ARTS AND SCIENCE, COIMBATORE, INDIA-641 020, India
Abstract

In this paper, we examine the impact of fear in an eco-epidemiological model with predator harvesting and infection in a prey population. The effect of fear on susceptible prey due to infected prey was discussed. A Predator consumes susceptible and infected prey at various rates in the form of a Holling type II Functional response. To examine the positivity and the boundedness of the solutions. The stability of all biologically feasible equilibrium points and the Hopf-bifurcation of the endemic equilibrium of the system are derived. A numerical simulation is performed to support our analytical findings.

Keywords
Infected prey
Fear effect
Predator harvesting
Equilibrium
Stability
Bifurcation
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