Trade-off between fear level induced by predator and infection rate among prey species
type: Item
instance of: scholarly article
title: Trade-off between fear level induced by predator and infection rate among prey species
zbMATH Open document ID: 1482.92060
author: Dipesh Barman
author: Shariful Alam
author: Jyotirmoy Roy
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
review text: In this article, the authors study a predator-prey model where the prey populations are in fear induced by the predators and suffering from infection. It is assumed that the fear induced by predators is affecting the reproduction and growth rate of prey species. As a consequence, a fear function has been incorporated in the growth term to unveil the impact of fear on the system dynamics. The well-posedness of the model and the positivity of the solution are established and a stability analysis of the different equilibrium points is performed as well. Hopf-bifurcation analysis with direction around the co-existence equilibrium point is also performed and it is found that the interference competition rate leads the system to Hopf bifurcation and increases the stable co-existence of all the populations. Analytical outcomes of the model system suggest that density of infected prey is directly proportional to the level of fear induced by the predator. Numerical simulations have been carried out to validate all the analytical findings and Hopf-bifurcation curves of co-dimension two are drawn to detect various generalised Hopf-bifurcation and zero Hopf-bifurcation points and stability region of the system.
reviewed by: A. Omrane
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D50
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7435152
zbMATH Keywords: eco-epidemic model
zbMATH Keywords: fear factor
zbMATH Keywords: Hopf-bifurcation
zbMATH Keywords: periodic solution
zbMATH Keywords: GH bifurcation
zbMATH Keywords: ZH bifurcation
Wikidata QID: Q114688364
describes a project that uses: MATCONT
MaRDI profile type: Publication
full work available at URL: s12190-020-01372-1
OpenAlex ID: W3034431504
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DOI: 10.1007/S12190-020-01372-1
description: scientific article; zbMATH DE number 7435152