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A periodicity threshold theorem for epidemics and population growth. (English) Zbl 0341.92012

92D25 Population dynamics (general)
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[1] Bailey, N.T.J., The mathematical theorey of epidemics, (1957), Hafner New York
[2] Bliss, C.I.; Blevins, D.L., The analysis of seasonal variation in measles, Am. J. hyg., 70, 328-334, (1959)
[3] Cooke, K.L.; Yorke, J.A., Some equations modelling growth processes and gonorrhea epidemics, Math. biosci., 16, 75-101, (1973) · Zbl 0251.92011
[4] Cornelius, C.E., Seasonality of gonorrhea in the united states, HSMHA health rep., 86, 157-160, (1971)
[5] Dietz, K., Epidemics and rumours: a survey, J. roy. stat. soc., A130, 505-528, (1967)
[6] Dietz, K., A supplementary bibliography on mathematical models of communicable diseases, (Feb. 1972), W.H.O
[7] Fox, J.P., Continuing surveillance of family units for infection with contact-transmitted agents, ()
[8] Hethcote, H., Asymptotic behavior in a deterministic epidemic model, Bull. math. biol., 35, 607-614, (1973) · Zbl 0279.92011
[9] Hethcote, H., Mathematical models for the spread of infectious disease, ()
[10] Krasnosel’skii, M.A., Positive solutions of operator equations, 137, (1964), Nordhoff
[11] London, W.P.; Yorke, J.A., Recurrent outbreaks of measles, chickenpox and mumps. I. seasonal variation in contact rates, Am. J. epidemiol., 98, 453-468, (1973)
[12] London, W.P.; Yorke, J.A., Recurrent outbreaks of measles, chickenpox and mumps. II. systematic differences in contact rates and stochastic effects, Am. J. epidemiol., 98, 469-482, (1973)
[13] O. Lopes, Existence and stability of forced oscillation in retarded equations, to be published. · Zbl 0368.34028
[14] Soper, H.E., The interpretation of periodicity in disease prevalence, J. roy. stat. soc., 92, 34-73, (1929) · JFM 55.0941.13
[15] K.E. Swick, A model of single species population growth, SIAM J. Math. Anal., to be published. · Zbl 0343.92011
[16] Waltman, P., Deterministic threshold models in the theory of epidemics, (1974), Springer · Zbl 0293.92015
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