Model Transmisi Penyakit Dengan Ketergantungan Demografi
DAFTAR PUSTAKA
Aguiar, M., Kooi, B.W. dan Stollenwerk, N. (2008). Epidemiology of dengue fever:
A Model with temporary cross-immunity and possible secondary infection
shows bifurcations and chaotic behaviour in wide parameter regions, Math.
Model. Nat. Phenom., 4, 48-70, ISSN 0973-5348.
Anderson, R.M., Jackson H.C, May R.M dan Smith, A.D.M. (1981). The Population Dynamics of Fox Rabies in Europe, Nature, 289:765-777.
Anderson, R.M. dan May R.M. (1979). Population Biology of Infectious Diseases
Part I., Nature, 280:361-367.
Anderson, R.M. dan May R.M. (1978). Possible demographic consequences of AIDS
in developing countries, Nature, 332, 228-234.
Busenberg, S. N. dan Driessche, P.v.d. (1990). Analysis of a disease transmission
model in a population with varying size. J. Math. Biol. 28, 257-270.
Cairns, A. (1995). Primary Component of Epidemiological Model. D. Millison (Ed),
Epidemic Models : Their Structure and Retation to Data, Newton Inst.
Public. 350-371.
Diekmann, O. dan Heesterbeek, J.A. (2000) Mathematical Efidemiology of Infectious Diseases: Model building, analysis and interpretation. ISBN 0 471 98682
9.
Edelstein, K.L. (1988). Mathematical models in biology. New York. Random House.
Gao, L.Q. dan Hethcote H.W. (1992). Disease transmission models with densitydependent demographics: J. Math. Biol. 30, 717-731.
Giesecko, J. (1994). Mathematical Models For Epidemics Modern Infections Disease Epidemilogy, Edward Arnold, London, 109-123.
Hale, J.K. (1989). Ordinary differential equations. Springer pp 193-211, Berlin
Heidelberg New York. London.
Hethcote, H.W. dan Levin S.A. (1989). Periodicity in epidemiological models, In
: Gross, L, Hallam, TG. Lavin, SA. Applied Mathematical Ecology, pp 119144. Berlin Herdelberg, New York: Springer. London.
Hyman, J.M. dan Stanley E.A. (1988). Using mathematical model to understand
the AIDS epidemic. Math. Biosci. 90, 415-473.
Notoatmodjo, S. (2003). Ilmu Kesehatan Masyrakat, Prinsip-prinsip Dasar. Rineka
Cipta : Jakarta.
Waltman, P. (1974). Lecture Notes in Biomathematics, Deterministic Threshold
Models in the Theory of Epidemics. Springer. Verlag. New York.
29
Universitas Sumatera Utara
Aguiar, M., Kooi, B.W. dan Stollenwerk, N. (2008). Epidemiology of dengue fever:
A Model with temporary cross-immunity and possible secondary infection
shows bifurcations and chaotic behaviour in wide parameter regions, Math.
Model. Nat. Phenom., 4, 48-70, ISSN 0973-5348.
Anderson, R.M., Jackson H.C, May R.M dan Smith, A.D.M. (1981). The Population Dynamics of Fox Rabies in Europe, Nature, 289:765-777.
Anderson, R.M. dan May R.M. (1979). Population Biology of Infectious Diseases
Part I., Nature, 280:361-367.
Anderson, R.M. dan May R.M. (1978). Possible demographic consequences of AIDS
in developing countries, Nature, 332, 228-234.
Busenberg, S. N. dan Driessche, P.v.d. (1990). Analysis of a disease transmission
model in a population with varying size. J. Math. Biol. 28, 257-270.
Cairns, A. (1995). Primary Component of Epidemiological Model. D. Millison (Ed),
Epidemic Models : Their Structure and Retation to Data, Newton Inst.
Public. 350-371.
Diekmann, O. dan Heesterbeek, J.A. (2000) Mathematical Efidemiology of Infectious Diseases: Model building, analysis and interpretation. ISBN 0 471 98682
9.
Edelstein, K.L. (1988). Mathematical models in biology. New York. Random House.
Gao, L.Q. dan Hethcote H.W. (1992). Disease transmission models with densitydependent demographics: J. Math. Biol. 30, 717-731.
Giesecko, J. (1994). Mathematical Models For Epidemics Modern Infections Disease Epidemilogy, Edward Arnold, London, 109-123.
Hale, J.K. (1989). Ordinary differential equations. Springer pp 193-211, Berlin
Heidelberg New York. London.
Hethcote, H.W. dan Levin S.A. (1989). Periodicity in epidemiological models, In
: Gross, L, Hallam, TG. Lavin, SA. Applied Mathematical Ecology, pp 119144. Berlin Herdelberg, New York: Springer. London.
Hyman, J.M. dan Stanley E.A. (1988). Using mathematical model to understand
the AIDS epidemic. Math. Biosci. 90, 415-473.
Notoatmodjo, S. (2003). Ilmu Kesehatan Masyrakat, Prinsip-prinsip Dasar. Rineka
Cipta : Jakarta.
Waltman, P. (1974). Lecture Notes in Biomathematics, Deterministic Threshold
Models in the Theory of Epidemics. Springer. Verlag. New York.
29
Universitas Sumatera Utara