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Impact of Fear on a Crowley–Martin Eco-Epidemiological Model with Prey Harvesting †.

Authors :
Arumugam, Divya
Muthurathinam, Sivabalan
Anbulinga, Ashwin
Manickasundaram, Siva Pradeep
Source :
Engineering Proceedings; 2023, Vol. 56, p296, 8p
Publication Year :
2023

Abstract

In this paper, we develop a three-species food web model that incorporates the use of interactions between diseased predator–prey models. The logistically growing prey populations are susceptible and diseased prey. Prey populations are assumed to grow logistically in the absence of predators. We investigate the effect of fear on susceptible prey through infected prey populations. In Crowley–Martin-type interactions, it is assumed that interdependence between predators happens regardless of whether an individual predator is searching for prey or handling prey at the time. Also, the prey harvesting of susceptible and infected prey has been considered. The existence of all possible equilibrium points for biological systems has been established. The criteria for the local and global stability of equilibrium points are examined. Additionally, we look at Hopf-bifurcation analysis for the suggested model in relation to the existence of harvesting rate (h 1) . Numerical simulations are provided in order to explain the phenomenon and comprehend the complex interactions between predators and prey. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
26734591
Volume :
56
Database :
Complementary Index
Journal :
Engineering Proceedings
Publication Type :
Academic Journal
Accession number :
178214326
Full Text :
https://doi.org/10.3390/ASEC2023-15908