EFFECT OF A FEAR ON A DISEASED PREY-PREDATOR MODEL WITH PREDATOR HARVESTING

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

Academic Editor: Simeone Chianese

Published: 26 October 2023 by MDPI in The 4th International Electronic Conference on Applied Sciences session Energy, Environmental and Earth Science

https://doi.org/10.3390/ASEC2023-15248

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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