Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect

Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect

In this paper, a class of predator-prey systems with fear effect is investigated, the integrability conditions of the origin and the positive equilibrium are obtained, and the fact that three limit cycles can be bifurcated from the positive equilibrium is proved, so bistable phenomenon can occur for...

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Main Authors: Xinli Li, Ming Zhang
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/3948621
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spelling doaj-f3b3eb9d07a54a36b5748c62a494460c2020-11-25T01:09:26ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/39486213948621Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear EffectXinli Li0Ming Zhang1Logistic School, Linyi University, Linyi 276000, ChinaCollege of Information Science and Engineering, Linyi University, Linyi 276000, ChinaIn this paper, a class of predator-prey systems with fear effect is investigated, the integrability conditions of the origin and the positive equilibrium are obtained, and the fact that three limit cycles can be bifurcated from the positive equilibrium is proved, so bistable phenomenon can occur for this system.http://dx.doi.org/10.1155/2019/3948621
collection DOAJ
language English
format Article
sources DOAJ
author Xinli Li
Ming Zhang
spellingShingle Xinli Li
Ming Zhang
Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect
Journal of Function Spaces
author_facet Xinli Li
Ming Zhang
author_sort Xinli Li
title Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect
title_short Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect
title_full Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect
title_fullStr Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect
title_full_unstemmed Integrability and Multiple Limit Cycles in a Predator-Prey System with Fear Effect
title_sort integrability and multiple limit cycles in a predator-prey system with fear effect
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2019-01-01
description In this paper, a class of predator-prey systems with fear effect is investigated, the integrability conditions of the origin and the positive equilibrium are obtained, and the fact that three limit cycles can be bifurcated from the positive equilibrium is proved, so bistable phenomenon can occur for this system.
url http://dx.doi.org/10.1155/2019/3948621
work_keys_str_mv AT xinlili integrabilityandmultiplelimitcyclesinapredatorpreysystemwithfeareffect
AT mingzhang integrabilityandmultiplelimitcyclesinapredatorpreysystemwithfeareffect
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