EventsThe 1st International Online Conference on Mathematics and Applications
Published
with-doi10.3390/IOCMA2023-14404 (registering DOI)
This submission belongs to the session S8. Mathematical Biology of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarFrancisco Chiclana
Citation
Ashwin A, SIVABALAN M, Divya A, SIVA PRADEEP M, Dynamics of Holling type II eco-epidemiological model with fear effect, prey refuge, and prey harvesting, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14404
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Dynamics of Holling type II eco-epidemiological model with fear effect, prey refuge, and prey harvesting

1. Sri Ramakrishna Mission Vidyalaya College of Arts and Science, India
2. Sri Ramakrishna Mission Vidyalaya College of Arts and Science
Abstract

This paper is investigating the prey-predator model, which includes a fear effect on susceptible prey through infected prey. Also, the predator consumes its prey in the form of Holling-type interactions. For the model, first we analyse the existence and local stability of possible non-negative equilibrium points. Further, we examine the Hopf-bifurcation analysis for the corresponding proposed model in the presence of the fear effect. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings.

Keywords
Fear effect
prey refuge
prey harvesting
equilibrium points
stability
Hopf-bifurcation.
Manuscript
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