Analysis of an SI epidemic model with nonlinear transmission and stage structure

Acta Mathematica Scientia

Volumn 23, Issue 4, 2003, Pages 440-446

  Zhonghua, Lu ^a   Shujing, Gao ^b   Lansun, Chen ^c  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b GUANGZHOU UNIVERSITY   (China)

^c CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Disease free equilibrium; Endemic equilibrium; Global attractor; SI epidemic model; Threshold

Indexed keywords

EID: 27744537211     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0252-9602(17)30486-1     Document Type: Article

References (5)

1. Aiello W G, Freedman H I. A time delay model of single species growth with stage structure. Math Biosci, 1990, 101: 139-153
2. Yang Kuang. Delay differential equations with application in population dynamics. Academic Press, INC, 1993, 119-126
3. Hale J K, Waltoman P. Persistence in infinite-dimensional systems. SIAM J Math Anal, 1989, 20: 388-396
4. Wang Wendi, Chen Lansun. A predator-prey system with stage-structure for predator. Computers Math Applic, 1997, 33(8): 83-91
5. Freedman H I, Wu J H. Persistence and global asymptotic stability of single species dispersal models with stage structure. Quarterly of Applied Mathematics, 1991, 49: 351-371