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A generalization of the Kermack-McKendrick deterministic epidemic model. (English) Zbl 0398.92026


MSC:

92D25 Population dynamics (general)

Citations:

Zbl 0293.92015
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Full Text: DOI

References:

[1] Bailey, N. T.J., The Mathematical Theory of Infectious Diseases and Its Applications (1975), Charles Griffin: Charles Griffin London and High Wycombe · Zbl 0115.37202
[2] Capasso, V., Global solution for a diffusive nonlinear deterministic epidemic model, SIAM J. Appl. Math., Vol. 35, No. 2 (1978), in press · Zbl 0415.92018
[3] V. Capasso and S.L. Paveri-Fontana, A mathematical model for the 1973 cholera epidemic in Bari, Italy, to appear.; V. Capasso and S.L. Paveri-Fontana, A mathematical model for the 1973 cholera epidemic in Bari, Italy, to appear. · Zbl 0526.92014
[4] Capasso, V.; Grosso, E.; Serio, G., I modelli matematici nella indagine epidemiologica. I. Applicazione all’epidemia di colera verificatasi in Bari nel 1973, Annali Sclavo, 19, 193-208 (1977)
[5] Corduneanu, C., Principles of Differential and Integral Equations (1971), Allyn and Bacon: Allyn and Bacon Boston · Zbl 0208.10701
[6] Hahn, W., Stability of Motion (1967), Springer: Springer New York · Zbl 0189.38503
[7] Hethcote, H. W., Qualitative analysis of communicable disease models, Math. Biosci., 28, 335-356 (1976) · Zbl 0326.92017
[8] Kermack, W. O.; McKendrick, A. G., Contributions to the mathematical theory of epidemics, Proc. Roy. Soc. Ser. A, 115, 700-721 (1927), part I · JFM 53.0517.01
[9] Kermack, W. O.; McKendrick, A. G., Contributions to the mathematical theory of epidemics, Proc. Roy. Soc. Ser. A, 138, 55-83 (1932), part II · Zbl 0005.30501
[10] Lasalle, J. P., The Stability of Dynamical Systems (1977), SIAM: SIAM Philadelphia · Zbl 0538.34033
[11] S.L. Paveri-Fontana and G. Serio, A class of deterministic mathematical infectious diseases, to appear.; S.L. Paveri-Fontana and G. Serio, A class of deterministic mathematical infectious diseases, to appear.
[12] Sansone, G.; Conti, R., Equazioni differenziali non lineari (1956), Edizioni Cremonese: Edizioni Cremonese Roma · Zbl 0075.26803
[13] Struble, R. A., Nonlinear Differential Equations (1962), McGraw-Hill: McGraw-Hill New York · Zbl 0124.04904
[14] Waltman, P., Deterministic Threshold Models in the Theory of Epidemics, (Lect. Notes Biomath. 1 (1974), Springer: Springer New York) · Zbl 0293.92015
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