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题名: Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure
作者: Liu C(刘超) ; Zhang QL(张庆灵) ; Li JN(李金娜) ; Yue, Wenquan
作者部门: 工业控制网络与系统研究室
关键词: Harvesting
刊名: Applied Mathematics and Computation
ISSN号: 0096-3003
出版日期: 2014
卷号: 238, 页码:177-192
收录类别: SCI ; EI
产权排序: 3
摘要: In this paper, a prey-predator-resource model with harvest effort on resource biomass is proposed, where maturation delay and stage structure for prey population are considered. Positivity and boundedness of solutions are studied. By performing local stability around all equilibria, dynamic effects of maturation delay and harvest effort on model system are discussed, and region of local stability around interior equilibrium is found by analyzing the associated characteristic transcendental equation. Furthermore, global stability of the interior equilibrium is investigated due to variation of maturation delay and harvest effort. Numerical simulations are carried out to show consistency with theoretical analysis obtained in this paper.
语种: 英语
WOS记录号: WOS:000336522400017
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Mathematics, Applied
关键词[WOS]: MODIFIED LESLIE-GOWER ; TIME-DELAY ; GLOBAL STABILITY ; II SCHEMES ; PERSISTENCE ; SYSTEM
研究领域[WOS]: Mathematics
Citation statistics:
内容类型: 期刊论文
URI标识: http://ir.sia.cn/handle/173321/15087
Appears in Collections:工业控制网络与系统研究室_期刊论文

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Recommended Citation:
刘超; 张庆灵; 李金娜; Yue, Wenquan.Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure,Applied Mathematics and Computation,2014,238():177-192
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文件名: Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure.pdf
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