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Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects
Hui, J; Chen, LS
2004-06-01
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
Volume20Issue:3Pages:423-432
AbstractThe general system of differential equations describing predator-prey dynamics with impulsive effects is modified by the assumption that the coefficients are periodic functions of time. By use of standard techniques of bifurcation theory, it is known that this system has a positive periodic solution provided the time average of the predator's net uninhibited death rate is in a suitable range. The bifurcation is from the periodic solution of the time-dependent logistic equation for the prey (which results in the absence of predator).
Keywordexistence stability periodic solution impulsive effects
DOI10.1007/s10114-004-0333-3
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000221782600004
PublisherSPRINGER-VERLAG HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19494
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHui, J
Affiliation1.Guangxi Inst Technol, Dept Informat & Computat Sci, Liuzhou 545006, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714		 Hui, J,Chen, LS. Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(3):423-432.
APA Hui, J,&Chen, LS.(2004).Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(3),423-432.
MLA Hui, J,et al."Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.3(2004):423-432.
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