Analysis of a SIS epidemic model with stage structure and a delay

Communications in Nonlinear Science and Numerical Simulation

Volumn 6, Issue 1, 2001, Pages 35-39

  Xiao, Yanni ^a   Chen, Lansun ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Delay; Globally asymptotically stable; SIS epidemic model; Threshold

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; DIFFERENCE EQUATIONS;

DISEASE FREE EQUILIBRIUM; DISEASE TRANSMISSION; INFECTIOUS PERIOD;

DISEASES;

MATHEMATICAL ANALYSIS;

EID: 16844376279     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(01)90026-7     Document Type: Article

References (7)

1. Anderson, R. M. and May, R. M., Infectious Disease of Humans and Control, Oxford Univ. Press, Oxford, 1991
2. Baileg, N. J. T., The Mathematical Theory of Infectious Disease and Its Application, Griffin, London, 1975
3. Diekmann, O., Heesterbeek, J. A. P. and Metz, J. A. J., The legacy of Kermack and Mckendrick, in Mollision, D., ed., Epidemic models, Their structure and Relation to Data, Cambridge Univ. Press, Cambridge, 1994
4. Aiello, W. G. and Freedman, H. I., A time delay model of single species growth with stage structure, Math. Biosci., 1990, 101: 139-153
5. Aiello, W. G., Freedman, H. I. and Wu, J. H., Analysis of a model representing stage-structured population growth with stage-dependent time delay, SIAM J. Appl. Math., 1992, 52: 855-869
6. Freedman, H. I. and Wu, J. H., Persistence and global asymptotic stability of single species dispersed models with stage structure, Q. Appl. Math., 1991, 49: 351-371
7. Hethcote, H. W. and van den Driessche, P., An SIS epidemic model with variable population size and a delay, J. Math. Biol., 1995, 34: 177-194