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Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure
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
发表期刊Applied Mathematics and Computation
ISSN0096-3003
2014
卷号238页码:177-192
收录类别SCI ; EI
EI收录号20141917693620
WOS记录号WOS:000336522400017
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标题词Science & Technology ; Physical Sciences
WOS类目Mathematics, Applied
关键词[WOS]MODIFIED LESLIE-GOWER ; TIME-DELAY ; GLOBAL STABILITY ; II SCHEMES ; PERSISTENCE ; SYSTEM
WOS研究方向Mathematics
引用统计
被引频次:13[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.sia.cn/handle/173321/15087
专题工业控制网络与系统研究室
通讯作者Liu C(刘超)
作者单位1.Institute of Systems Science, Northeastern University, Shenyang, China
2.State Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang, China
3.Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, China
4.Hebei Academy of Agriculture and Forest, Shijiazhuang, China
推荐引用方式
GB/T 7714
Liu C,Zhang QL,Li JN,et al. Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure[J]. Applied Mathematics and Computation,2014,238:177-192.
APA Liu C,Zhang QL,Li JN,&Yue, Wenquan.(2014).Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure.Applied Mathematics and Computation,238,177-192.
MLA Liu C,et al."Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure".Applied Mathematics and Computation 238(2014):177-192.
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