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Analysis of a three species eco-epidemiological model
Xiao, YN; Chen, LS
2001-06-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume258Issue:2Pages:733-754
AbstractThis paper formulates and analyzes a predator-prey model with disease in the prey. Mathematical analyses of the model equations with regard to invariance of nonnegativity, boundedness of solutions, nature of equilibria, permanence, and global stability are analyzed. It is also shown that for some parameter values, the positive equilibrium is asymptotically stable, but for other parameter values, it is unstable and a surrounding periodic solution appears by Hopf bifurcation. A concluding discussion with numerical simulation is then presented. (C) 2001 Academic Press.
Keywordpredator-prey model global stability permanence Hopf bifurcation
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000169264300024
PublisherACADEMIC PRESS INC
Citation statistics
Cited Times:49[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16145
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. Analysis of a three species eco-epidemiological model[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,258(2):733-754.
APA Xiao, YN,&Chen, LS.(2001).Analysis of a three species eco-epidemiological model.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,258(2),733-754.
MLA Xiao, YN,et al."Analysis of a three species eco-epidemiological model".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 258.2(2001):733-754.
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