Solutions of the SIR models of epidemics using HAM

Chaos, Solitons and Fractals

Volumn 42, Issue 5, 2009, Pages 3047-3052

  Awawdeh, Fadi ^a   Adawi, A ^a   Mustafa, Z ^a  

^a HASHEMITE UNIVERSITY   (Jordan)

Author keywords

[No Author keywords available]

Indexed keywords

FATAL DISEASE; HOMOTOPY ANALYSIS METHODS; NONLINEAR ODES; SIR MODEL;

MATHEMATICAL TECHNIQUES;

EID: 67651204456     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.04.012     Document Type: Article

References (14)

1. Biazar J. Solution of the epidemic model by Adomian decomposition method. Appl Math Comput 173 (2006) 1101-1106
2. Bai Y., and Jin Z. Prediction of SARS epidemic by BP neural networks with online prediction strategy. Chaos, Solitons & Fractals 26 (2005) 559-569
3. Dietz K., and Hadeler K.P. Epidemiological models for sexually transmitted diseases. J Math Biol 26 (1988) 1-25
4. Gao S., Teng Z., and Xie D. Analysis of a delayed SIR epidemic model with pulse vaccination. Chaos, Solitons & Fractals 40 (2009) 1004-1011
5. Kermack W.O., and McKendrick A.G. A contribution to the mathematical theory of epidemics. Proc R Soc Lond A 115 (1927) 700-721
6. Liao S.J. Beyond perturbation: introduction to the homotopy analysis method (2003), Chapman & Hall/CRC Press, Boca Raton
7. Liao S.J. On the homotopy analysis method for nonlinear problems. Appl Math Comput 174 (2004) 499-513
8. Lipsitch M., Cohen T., Cooper B., Robins J.M., Ma S., and James L. Transmission dynamics and control of severe acute respiratory syndrome. Science 300 (2003) 1966-1970
9. Liu Z., Lai Y.C., and Ye N. Propagation and immunization of infection on general networks with both homogeneous and heterogeneous components. Phys Rev E67 (2003) 031911
10. Pang G., and Chen L. A delayed SIRS epidemic model with pulse vaccination. Chaos, Solitons & Fractals 34 (2007) 1629-1635
11. Riley S. Transmission dynamics of the etiological agent of SARS in Hong Kong: impact of public health interventions. Science 300 (2003) 1961-1966
12. Satsuma J., Willox R., Ramani A., Grammaticos B., and Carstea A.S. Extending the SIR epidemic model. Physics A (2004) 369-375
13. Zanette D.H. Critical behavior of propagation on small-world networks. Phys Rev E64 (2001) 050901R
14. Zanette D.H. Dynamics of rumor propagation on small-world networks. Phys Rev E65 (2002) 041908