Fuzzy dynamical systems in epidemic modelling

Kybernetes

Volumn 29, Issue 2, 2000, Pages 201-218

  Ortega, Neli Regina Siqueira ^a   Sallum, Paulo Cesar ^a   Massad, Eduardo ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Cybernetics; Disease; Dynamic model; Fuzzy logic; Predictive techniques

Indexed keywords

COMPUTER CIRCUITS; CYBERNETICS; DIFFERENTIAL EQUATIONS; DISEASES; DYNAMIC MODELS; DYNAMICAL SYSTEMS; FUZZY SET THEORY;

COMPLEX DYNAMICAL SYSTEMS; FUZZY DYNAMICAL SYSTEMS; FUZZY LINGUISTICS; INFECTIOUS DISEASE; PREDICTIVE TECHNIQUES; PREDICTIVE TOOLS;

FUZZY LOGIC;

EID: 3843125335     PISSN: 0368492X     EISSN: None     Source Type: Journal    
DOI: 10.1108/03684920010312768     Document Type: Article

References (18)

1. Anderson, R.M. and May, R.M. (1991), Infectious Diseases of Humans: Dynamics and Control, Oxford University Press, Oxford.
2. Barros, L.C. and Bassanezi, R.C. (1992), Deterministic Models with Subjective Parameters, thesis of Master of the Institute of Mathematics, Statistics and Computer Science of University of Campinas, São Paulo, Brazil.
3. Barros, L.C. and Tonelli, P. (1997), About Fuzzy Dynamical Systems: Theory and Applications, PhD thesis of the Institute of Mathematics, Statistics and Computer Science of University of Campinas, São Paulo, Brazil.
4. Bassanezi, R.C. and Barros, L.C. (1995), "A simple model of life expectancy with subjective parameters", Kybernetes, Vol. 24 No. 9, pp. 91-8.
5. Klir, G.J. and Yuan, B. (1995), Fuzzy Sets and Fuzzy Logic, Prentice-Hall, Englewood Cliffs, NJ.
6. Lee, C.C. (1990a), "Fuzzy logic in control systems: fuzzy logic controller - Part I", IEEE Transactions on Systems, Man and Cybernetics, Vol. 20 No. 2, pp. 404-18.
7. Lee, C.C. (1990b), "Fuzzy logic in control systems: fuzzy logic controller - Part II", IEEE Transactions on Systems, Man and Cybernetics, Vol. 20 No. 2, pp. 419-35.
8. Massad, E., Burattini, M.N. and Ortega, N.R.S. (1998), "Fuzzy logic and measles vaccination: designing a control strategy", Journal of Epidemiology.
9. Massad, E., Burattini, M.N., Coutinho, F.A.B. and Struchiner, C.J. (1997), "A fuzzy model in HIV/AIDS epidemiology: predicting the clinical course basing on HIV viral load", in Pearson, D.W. (Ed.), Soft Computing SOCO'97, Academic Press, Nîmes, France, pp. 58-63.
10. Massad, E., Azevedo-Neto, R.S., Yang, H.M., Burattini, M.N. and Coutinho, F.A.B. (1995), "Modelling age-dependent transmission rates for childhood infections", Journal of Biological Systems, Vol. 3 No. 3, pp. 803-12.
11. Muench, H. (1959), Catalytic Models in Epidemiology, Harvard University Press, Cambridge, MA.
12. Pearson, D.W. (1997), "A property of linear fuzzy differential equations", Appl. Math. Lett., Vol. 10 No. 3, pp. 99-103.
13. Pearson, D.W., Dray, G. and Peton, N. (1997), "On linear fuzzy dynamical systems", in Pearson, D.W. (Ed.), Soft Computing SOCO'97, Academic Press, Nîmes, France, pp. 203-9.
14. Sallum, P. and Massad, E. (1997), thesis of Master of the School of Public Health of University of São Paulo, Brazil.
15. Seikkala, S. (1987), "On the fuzzy initial value problem", Fuzzy Sets and Systems, Vol. 24, pp. 319-30.
16. Struchiner, C.J., Burattini, M.N., Ortega, N.R.S. and Massad, E. (1997), "Fuzzy risk estimators in epidemiology", in Pearson, D.W. (Ed.), Soft Computing SOCO'97, Academic Press, Nîmes, France, pp. 64-8.
17. Yager, RR. and Filev, D.P. (1994), Essentials of Fuzzy Modeling and Control, Wiley-Interscience, USA.
18. Zadeh, L.A. (1978), "Fuzzy sets as a basis for a theory of possibilities", Fuzzy Sets and Systems, Vol. 1, pp. 3-28.