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Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls
Fu, Jin-Bo1; Chen, Lan-Sun2
2018
Source PublicationCOMPLEXITY
ISSN1076-2787
Pages16
AbstractWater hyacinth and its ecological invasion have negative impacts on diversity of indigenous species and ecosystems, which becomes one of the hotspots in current ecological research. In this paper, a water hyacinth ecological system with two state-dependent impulse controls is studied. Firstly, we define the successor functions of semicontinuous dynamic system and give existence theorems of order-1 periodic solution and order-2 periodic solution of such system. Secondly, we analyze singular points of the system without impulsive state feedback control qualitatively and get the condition for focus point. Thirdly, we obtain the sufficient condition under which the system has an order-1 or order-2 periodic solution through the method of successor function and prove the stability of the order-1 or order-2 periodic solution by the analogue of Poincare's criterion. Furthermore, some examples and numerical simulations are given to illustrate our results.
DOI10.1155/2018/4543976
Language英语
Funding ProjectProgram for New Century Excellent Talents in University of Fujian Province[NCETFJ2018] ; Natural Science Foundation of Fujian Education Department[JA13370]
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000451850300001
PublisherWILEY-HINDAWI
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31760
Collection中国科学院数学与系统科学研究院
Affiliation1.Fujian Normal Univ, Minnan Sci & Technol Inst, Quanzhou 362332, Fujian, Peoples R China
2.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Fu, Jin-Bo,Chen, Lan-Sun. Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls[J]. COMPLEXITY,2018:16.
APA Fu, Jin-Bo,&Chen, Lan-Sun.(2018).Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls.COMPLEXITY,16.
MLA Fu, Jin-Bo,et al."Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls".COMPLEXITY (2018):16.
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