Impact of fear in a prey-predator system with herd behaviour

Fear of predation plays an important role in the growth of a prey species in a prey-predator system. In this work, a two-species model is formulated where the prey species move in a herd to protect themselves and so it acts as a defense strategy. The birth rate of the prey here is affected due to fe...

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Autores principales:	Saha Sangeeta, Samanta Guruprasad
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	prey-predator model fear effect herd behaviour bifurcations persistence 92d25 92d40 34c23 Biotechnology TP248.13-248.65 Physics QC1-999
Acceso en línea:	https://doaj.org/article/53b9b6ee029441d1a326063019661b55
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spelling	oai:doaj.org-article:53b9b6ee029441d1a326063019661b552021-12-05T14:10:45ZImpact of fear in a prey-predator system with herd behaviour2544-729710.1515/cmb-2020-0123https://doaj.org/article/53b9b6ee029441d1a326063019661b552021-10-01T00:00:00Zhttps://doi.org/10.1515/cmb-2020-0123https://doaj.org/toc/2544-7297Fear of predation plays an important role in the growth of a prey species in a prey-predator system. In this work, a two-species model is formulated where the prey species move in a herd to protect themselves and so it acts as a defense strategy. The birth rate of the prey here is affected due to fear of being attacked by predators and so, is considered as a decreasing function. Moreover, there is another fear term in the death rate of the prey population to emphasize the fact that the prey may die out of fear of predator too. But, in this model, the function characterizing the fear effect in the death of prey is assumed in such a way that it is increased only up to a certain level. The results show that the system performs oscillating behavior when the fear coefficient implemented in the birth of prey is considered in a small amount but it changes its dynamics through Hopf bifurcation and becomes stable for a higher value of the coefficient. Regulating the fear terms ultimately makes an impact on the growth of the predator population as the predator is taken as a specialist predator here. The increasing value of the fear terms (either implemented in birth or death of prey) decrease the count of the predator population with time. Also, the fear implemented in the birth rate of prey makes a higher impact on the growth of the predator population than in the case of the fear-induced death rate.Saha SangeetaSamanta GuruprasadDe Gruyterarticleprey-predator modelfear effectherd behaviourbifurcationspersistence92d2592d4034c23BiotechnologyTP248.13-248.65PhysicsQC1-999ENComputational and Mathematical Biophysics, Vol 9, Iss 1, Pp 175-197 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	prey-predator model fear effect herd behaviour bifurcations persistence 92d25 92d40 34c23 Biotechnology TP248.13-248.65 Physics QC1-999
spellingShingle	prey-predator model fear effect herd behaviour bifurcations persistence 92d25 92d40 34c23 Biotechnology TP248.13-248.65 Physics QC1-999 Saha Sangeeta Samanta Guruprasad Impact of fear in a prey-predator system with herd behaviour
description	Fear of predation plays an important role in the growth of a prey species in a prey-predator system. In this work, a two-species model is formulated where the prey species move in a herd to protect themselves and so it acts as a defense strategy. The birth rate of the prey here is affected due to fear of being attacked by predators and so, is considered as a decreasing function. Moreover, there is another fear term in the death rate of the prey population to emphasize the fact that the prey may die out of fear of predator too. But, in this model, the function characterizing the fear effect in the death of prey is assumed in such a way that it is increased only up to a certain level. The results show that the system performs oscillating behavior when the fear coefficient implemented in the birth of prey is considered in a small amount but it changes its dynamics through Hopf bifurcation and becomes stable for a higher value of the coefficient. Regulating the fear terms ultimately makes an impact on the growth of the predator population as the predator is taken as a specialist predator here. The increasing value of the fear terms (either implemented in birth or death of prey) decrease the count of the predator population with time. Also, the fear implemented in the birth rate of prey makes a higher impact on the growth of the predator population than in the case of the fear-induced death rate.
format	article
author	Saha Sangeeta Samanta Guruprasad
author_facet	Saha Sangeeta Samanta Guruprasad
author_sort	Saha Sangeeta
title	Impact of fear in a prey-predator system with herd behaviour
title_short	Impact of fear in a prey-predator system with herd behaviour
title_full	Impact of fear in a prey-predator system with herd behaviour
title_fullStr	Impact of fear in a prey-predator system with herd behaviour
title_full_unstemmed	Impact of fear in a prey-predator system with herd behaviour
title_sort	impact of fear in a prey-predator system with herd behaviour
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/53b9b6ee029441d1a326063019661b55
work_keys_str_mv	AT sahasangeeta impactoffearinapreypredatorsystemwithherdbehaviour AT samantaguruprasad impactoffearinapreypredatorsystemwithherdbehaviour
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Impact of fear in a prey-predator system with herd behaviour

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