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A ratio-dependent predator-prey model with disease in the prey
Xiao, YN; Chen, LS
2002-09-25
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume131Issue:2-3Pages:397-414
AbstractIn this paper, a ratio-dependent predator-prey system with disease in the prey is formulated and analyzed. Mathematical analyses of the model equations with regard to invariance of nonnegativity, boundedness of solutions, nature of equilibria, permanence and global stability are analyzed. Specially, we shall show that ratio-dependent predator-prey models are rich in boundary dynamics, and most importantly, we shall show that a periodic solution can occur whether the system is permanent or not, that is, there are solutions which tend to disease-free equilibrium while bifurcating periodic solution exists. (C) 2002 Elsevier Science Inc. All rights reserved.
Keywordpredator-prey model global stability permanence hopf bifurcation
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000177595500015
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:71[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17125
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Xiao, YN,Chen, LS. A ratio-dependent predator-prey model with disease in the prey[J]. APPLIED MATHEMATICS AND COMPUTATION,2002,131(2-3):397-414.
APA Xiao, YN,&Chen, LS.(2002).A ratio-dependent predator-prey model with disease in the prey.APPLIED MATHEMATICS AND COMPUTATION,131(2-3),397-414.
MLA Xiao, YN,et al."A ratio-dependent predator-prey model with disease in the prey".APPLIED MATHEMATICS AND COMPUTATION 131.2-3(2002):397-414.
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