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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
Department工业控制网络与系统研究室
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
2014
Volume238Pages:177-192
Indexed BySCI ; EI
EI Accession number20141917693620
WOS IDWOS:000336522400017
Contribution Rank3
KeywordHarvesting
AbstractIn 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.
Language英语
WOS HeadingsScience & Technology ; Physical Sciences
WOS SubjectMathematics, Applied
WOS KeywordMODIFIED LESLIE-GOWER ; TIME-DELAY ; GLOBAL STABILITY ; II SCHEMES ; PERSISTENCE ; SYSTEM
WOS Research AreaMathematics
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/15087
Collection工业控制网络与系统研究室
Corresponding AuthorLiu C(刘超)
Affiliation1.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
Recommended Citation
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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