Event submissions
Published
10.3390/IOCMA2023-14744 (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
02 Jun, 2023
Academic Editor
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Francisco ChiclanaCitation
DIVYA A, SIVABALAN M, ASHWIN A, SIVA PRADEEP M, DYNAMICS OF RATIO DEPENDENT ECO EPIDEMIOLOGICAL MODEL WITH 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/IOCMA2023-14744
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DYNAMICS OF RATIO DEPENDENT ECO EPIDEMIOLOGICAL MODEL WITH PREY REFUGE AND PREY HARVESTING
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DIVYA A 1
SIVABALAN M 1
ASHWIN A 1
SIVA PRADEEP M 1
1. Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India-641 020
Abstract
In this paper, an eco-epidemiological model of prey refuge and prey harvesting in infected prey populations is discussed. The predator consumes susceptible and infected prey at different rates in the form of a ratio-dependent type of interaction. The existence, positive invariance, and boundedness of the system are addressed. We have also established the stability of equilibrium points. Finally, to support the primary analytical findings, some numerical simulations were also given.
Keywords
Eco-epidemiological Model
Ratio dependent
Prey refuge
Prey harvesting
Local Stability
Manuscript
sciforum-070549.pdf
Banach Fixed Point Theorem in Extended b_v (s)- Metric spaces