Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls

doi:10.1155/2018/4543976

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	Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls
	Fu, Jin-Bo 1; Chen, Lan-Sun 2
	2018
发表期刊	COMPLEXITY
ISSN	1076-2787
页码	16
摘要	Water 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.
DOI	10.1155/2018/4543976
语种	英语
资助项目	Program for New Century Excellent Talents in University of Fujian Province[NCETFJ2018] ; Natural Science Foundation of Fujian Education Department[JA13370]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000451850300001
出版者	WILEY-HINDAWI
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31760
专题	中国科学院数学与系统科学研究院
通讯作者	Fu, Jin-Bo
作者单位	1.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
推荐引用方式 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.