The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay

In this paper, we propose both deterministic and stochastic predator-prey models with digestion delay, incorporating fear factor and self-defence. For the deterministic model, the existence and stability of the equilibrium are investigated and the occurrence of Hopf bifurcation is studied. For the s...

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Autores principales:	Jiang Li, Xiaohui Liu, Chunjin Wei
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	predator-prey digestion delay fear factor self-defence hopf bifurcation asymptotic behaviors Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/df0f117042ac468e948b38638fcfe4d8
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id	oai:doaj.org-article:df0f117042ac468e948b38638fcfe4d8
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spelling	oai:doaj.org-article:df0f117042ac468e948b38638fcfe4d82021-11-09T02:17:39ZThe impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay10.3934/mbe.20212771551-0018https://doaj.org/article/df0f117042ac468e948b38638fcfe4d82021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021277?viewType=HTMLhttps://doaj.org/toc/1551-0018In this paper, we propose both deterministic and stochastic predator-prey models with digestion delay, incorporating fear factor and self-defence. For the deterministic model, the existence and stability of the equilibrium are investigated and the occurrence of Hopf bifurcation is studied. For the stochastic model, we investigate the existence of a unique global positive solution of the model and analyze the asymptotic behavior of the global solution around the equilibriums of the deterministic model. Finally, numerical simulations are carried out to verify our analytical results, which indicate that the intensity of white noise, fear factor and self-defence have a significant relationship with the dynamics of the predator-prey model and expand the theoretical analyses.Jiang Li Xiaohui LiuChunjin Wei AIMS Pressarticlepredator-preydigestion delayfear factorself-defencehopf bifurcationasymptotic behaviorsBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5478-5504 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	predator-prey digestion delay fear factor self-defence hopf bifurcation asymptotic behaviors Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	predator-prey digestion delay fear factor self-defence hopf bifurcation asymptotic behaviors Biotechnology TP248.13-248.65 Mathematics QA1-939 Jiang Li Xiaohui Liu Chunjin Wei The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
description	In this paper, we propose both deterministic and stochastic predator-prey models with digestion delay, incorporating fear factor and self-defence. For the deterministic model, the existence and stability of the equilibrium are investigated and the occurrence of Hopf bifurcation is studied. For the stochastic model, we investigate the existence of a unique global positive solution of the model and analyze the asymptotic behavior of the global solution around the equilibriums of the deterministic model. Finally, numerical simulations are carried out to verify our analytical results, which indicate that the intensity of white noise, fear factor and self-defence have a significant relationship with the dynamics of the predator-prey model and expand the theoretical analyses.
format	article
author	Jiang Li Xiaohui Liu Chunjin Wei
author_facet	Jiang Li Xiaohui Liu Chunjin Wei
author_sort	Jiang Li
title	The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
title_short	The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
title_full	The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
title_fullStr	The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
title_full_unstemmed	The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
title_sort	impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/df0f117042ac468e948b38638fcfe4d8
work_keys_str_mv	AT jiangli theimpactoffearfactorandselfdefenceonthedynamicsofpredatorpreymodelwithdigestiondelay AT xiaohuiliu theimpactoffearfactorandselfdefenceonthedynamicsofpredatorpreymodelwithdigestiondelay AT chunjinwei theimpactoffearfactorandselfdefenceonthedynamicsofpredatorpreymodelwithdigestiondelay AT jiangli impactoffearfactorandselfdefenceonthedynamicsofpredatorpreymodelwithdigestiondelay AT xiaohuiliu impactoffearfactorandselfdefenceonthedynamicsofpredatorpreymodelwithdigestiondelay AT chunjinwei impactoffearfactorandselfdefenceonthedynamicsofpredatorpreymodelwithdigestiondelay
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The impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay

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