Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior

Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior

In this paper, an impulsive semidynamic system of the relationship between plankton and herbivore is established, and the Poincaré map method is used to extend the new properties of the model. We define the Poincaré map of the impulsive point series in phase concentration and analyze the characteris...

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Main Authors: Yufei Wang, Huidong Cheng, Qingjian Li
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/5726895
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spelling doaj-f35c5b0c6a0f46f7bafdacf2d80441ca2020-11-25T02:41:49ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/57268955726895Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating BehaviorYufei Wang0Huidong Cheng1Qingjian Li2College of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCollege of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCollege of International Office, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaIn this paper, an impulsive semidynamic system of the relationship between plankton and herbivore is established, and the Poincaré map method is used to extend the new properties of the model. We define the Poincaré map of the impulsive point series in phase concentration and analyze the characteristics. A comprehensive and detailed analysis of the periodic solution is performed. In addition, the numerical simulations illustrate the correctness of our arguments. The results show that plankton and herbivore can survive stably under effective control.http://dx.doi.org/10.1155/2020/5726895
collection DOAJ
language English
format Article
sources DOAJ
author Yufei Wang
Huidong Cheng
Qingjian Li
spellingShingle Yufei Wang
Huidong Cheng
Qingjian Li
Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior
Complexity
author_facet Yufei Wang
Huidong Cheng
Qingjian Li
author_sort Yufei Wang
title Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior
title_short Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior
title_full Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior
title_fullStr Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior
title_full_unstemmed Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior
title_sort dynamical properties of a herbivore-plankton impulsive semidynamic system with eating behavior
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description In this paper, an impulsive semidynamic system of the relationship between plankton and herbivore is established, and the Poincaré map method is used to extend the new properties of the model. We define the Poincaré map of the impulsive point series in phase concentration and analyze the characteristics. A comprehensive and detailed analysis of the periodic solution is performed. In addition, the numerical simulations illustrate the correctness of our arguments. The results show that plankton and herbivore can survive stably under effective control.
url http://dx.doi.org/10.1155/2020/5726895
work_keys_str_mv AT yufeiwang dynamicalpropertiesofaherbivoreplanktonimpulsivesemidynamicsystemwitheatingbehavior
AT huidongcheng dynamicalpropertiesofaherbivoreplanktonimpulsivesemidynamicsystemwitheatingbehavior
AT qingjianli dynamicalpropertiesofaherbivoreplanktonimpulsivesemidynamicsystemwitheatingbehavior
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