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 A ratio-dependent predator-prey model with disease in the prey Xiao, YN; Chen, LS 2002-09-25 Source Publication APPLIED MATHEMATICS AND COMPUTATION ISSN 0096-3003 Volume 131Issue:2-3Pages:397-414 Abstract In 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. Keyword predator-prey model global stability permanence hopf bifurcation Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000177595500015 Publisher ELSEVIER SCIENCE INC Citation statistics Cited Times:71[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/17125 Collection 中国科学院数学与系统科学研究院 Affiliation Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China Recommended CitationGB/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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