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Processus stochastiques de population

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Bibliographie

  1. N. T. J. BAILEY (1953)—The total size of a general stochastic epidemic. BIOMETRIKA, 40, 177–185.

    MathSciNet  MATH  Google Scholar 

  2. N. T. J. BAILEY (1957)—The Mathematical Theory of Epidemics. GRIFFIN, London.

    Google Scholar 

  3. N. T. J. BAILEY (1964)—The Elements of Stochastic Processes with Applications to the Natural Sciences. WILEY, New York.

    MATH  Google Scholar 

  4. N. T. J. BAILEY (1968)—A perturbation approximation to the simple stochastic epidemic in a large population BIOMETRIKA 55, 199–209.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. N. T. J. BAILEY et C. ALFF-STEINBERGER (1970)—Improvements in the estimation of the latent and infectious periods of a contagious disease. BIOMETRIKA 57, 141–153.

    CrossRef  Google Scholar 

  6. N. T. J. BAILEY et A. S. THOMAS (1971)—The estimation of parameters from population data on the general stochastic epidemic THEORET. POPULATION BIOLOGY 2, 257–270.

    CrossRef  Google Scholar 

  7. D. J. BARTHOLOMEW (1967)—Stochastic Models for Social Processes. WILEY, New York.

    Google Scholar 

  8. M. S. BARTLETT (1949)—Some evolutionary stochastic processes. J. ROY STATIST. SOC. SER. B11, 211–229.

    MathSciNet  MATH  Google Scholar 

  9. M. S. BARTLETT (1954)—Processus stochastiques ponctuels ANN. INST. H. POINCARE 14, 35–60.

    MathSciNet  MATH  Google Scholar 

  10. M. S. BARTLETT (1955)—An Introduction to Stochastic Processes. Second edition (1969). CAMBRIDGE UNIVERSITY PRESS.

    Google Scholar 

  11. M. S. BARTLETT (1956)—Deterministic and stochastic models for recurrent epidemics. PROC. 3rd BERKELEY SYMP. MATH. STATIST. PROB. (1954–55), Vol. 4, 81–109, UNIV. OF CALIFORNIA PRESS, Berkeley. MR 18,951.

    Google Scholar 

  12. M. S. BARTLETT (1957)—Measles periodicity and community size. J. ROY STATIST. SOC. SER. A 120, 48–70.

    CrossRef  Google Scholar 

  13. M. S. BARTLETT (1960)—Stochastic Population Models in Ecology and Epidemiology. METHUEN, London.

    MATH  Google Scholar 

  14. M. S. BARTLETT (1961)—Equations for stochastic path integrals. PROC. CAMBRIDGE PHILOS. SOC. 57, 568–573.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. M. S. BARTLETT (1970)—Age distributions. BIOMETRICS 26, 377–385.

    CrossRef  Google Scholar 

  16. M. S. BARTLETT et D. G. KENDALL (1951)—On the use of the characteristic functional in the analysis of some stochastic processes occuring in physics and biology. PROC. CAMBRIDGE PHILOS. SOC. 47, 65–76.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. D. E. BARTON et F. N. DAVID (1966)—The random intersection of two graphs. In RESEARCH PAPERS IN STATISTICS, DAVID, F. N., ed., 445–459. WILEY, New York.

    Google Scholar 

  18. N. BECKER (1970)—Mathematical Models in Epidemiology and Related Fields. Ph. D. THESIS, SHEFFIELD UNIVERSITY.

    Google Scholar 

  19. A. T. BHARUCHA-REID (1960)—Elements of the Theory of Markov Processes and their Applications. MC GRAW-HILL, New York.

    MATH  Google Scholar 

  20. B. R. BHAT (1968)—On an extension of Gani’s model for attachment of phages to bacteria. J. APPL. PROBABILITY 5, 572–578.

    CrossRef  MathSciNet  MATH  Google Scholar 

  21. I. J. BIENAYME (1845)—De la loi de multiplication et de la durée des familles. SOC. PHILOMATH. Paris, Extraits Ser. 5, 37–39.

    Google Scholar 

  22. W. D. BORRIE et RUTH DEDMAN (1957)—University Enrolments in Australia 1955–1970. A Projection. A.N.U. SOCIAL SCIENCES MONOGRAPH No. 10, Canberra.

    Google Scholar 

  23. W. D. BORRIE (1962)—Schools and Universities and the future: some observations based upon statistics. VESTES AUST. UNIV. REV. 5, no 3, 42–59.

    Google Scholar 

  24. S. BRENNER (1955)—The adsorption of bacteriophage by sensitive and resistant cells of Escherichia coli strain B. PROC. ROY. SOC. SER. B 144, 93–99.

    CrossRef  Google Scholar 

  25. H. BRENY (1971)—Non stationary models. In PLATELET KINETICS. J. M. PAULUS, ed., 92–116. NORTH HOLLAND, Amsterdam.

    Google Scholar 

  26. S. CHANDRASEKHAR (1943)—Stochastic problems in physics and astronomy. REV. MODERN. PHYS. 15, 1–89.

    CrossRef  MathSciNet  MATH  Google Scholar 

  27. A. B. CHIA (1970)—Generalised Ehrenfest urn models and their applications. Technical Report, Monash University, Melbourne.

    Google Scholar 

  28. CHIANG, CHIN LONG (1968)—Introduction to Stochastic Processes in Biostatistics. WILEY, New York.

    Google Scholar 

  29. H. E. DANIELS (1971)—A note on perturbation techniques for epidemics. WHO SYMPOSIUM ON QUANTITATIVE EPIDEMIOLOGY, Moscow, 23–27 November 1970. ADVANCES IN APPL. PROBABILITY 3, 214–218.

    Google Scholar 

  30. J. G. DARVEY, B. W. NINHAM et P. J. STAFF (1966)—Stochastic models for second order chemical reaction kinetics. The equilibrium state. J. CHEM. PHYS. 45, 2145–2155.

    CrossRef  Google Scholar 

  31. R. B. DAVIS (1960)—Estimates of Australian University enrolments 1960–74. UNIVERSITY OF NEW SOUTH WALES.

    Google Scholar 

  32. A. W. DAVIS (1964)—On the characteristic functional for a replacement model. J. AUSTRAL. MATH. SOC. 4, 233–243.

    CrossRef  MathSciNet  MATH  Google Scholar 

  33. M. DELBRUCK (1945)—The burst size distribution in the growth of bacterial viruses. J. BACTERIOLOGY, 91, 469–485.

    Google Scholar 

  34. G. M. DENTON (1971)—On the time-dependent solution of Downton’s carrier-borne epidemic. MANCHESTER-SHEFFIELD SCHOOL OF PROBABILITY AND STATISTICS RESEARCH REPORT, July 1971.

    Google Scholar 

  35. K. DIETZ (1967)—Epidemics and rumours—A survey. J. ROY STATIST. SOC. SER. A 130, 505–528.

    CrossRef  MathSciNet  Google Scholar 

  36. F. DOWNTON (1968)—The ultimate size of carrier-borne epidemics. BIOMETRIKA 55, 277–289.

    CrossRef  MathSciNet  MATH  Google Scholar 

  37. F. DOWNTON (1972)—The area under the infective trajectory of the general stochastic epidemic. J. APPL. PROBABILITY 9, 414–417.

    CrossRef  MathSciNet  MATH  Google Scholar 

  38. W.J. EWENS (1969)—Population Genetics. METHUEN, London.

    CrossRef  MATH  Google Scholar 

  39. W. FELLER (1941)—On the integral equation of renewal theory. ANN. MATH. STATIST. 12, 243–267.

    CrossRef  MathSciNet  Google Scholar 

  40. R.A. FISHER (1930)— The Genetical Theory of Natural Selection. OXFORD UNIV. PRESS

    Google Scholar 

  41. R.A. FISHER (1949)—The Theory of Inbreeding. OLIVER and BOYD, Edinburgh.

    MATH  Google Scholar 

  42. F.G. FOSTER (1955)—A note on Bailey’s and Whittle’s treatment of a general stochastic epidemic. BIOMETRIKA, Vol. 42, 123–125.

    MathSciNet  MATH  Google Scholar 

  43. F. GALTON (1889)— Natural Inheritance. MACMILLAN, London.

    CrossRef  Google Scholar 

  44. F. GALTON (1873)—Problem 4001. EDUCATIONAL TIMES, 1 April 1873, 17.

    Google Scholar 

  45. F. GALTON et H.W. WATSON (1874)— On the probability of extinction of families. J. ANTHROPOL. INST. GT. BRITAIN and IRELAND 4, 138–144.

    Google Scholar 

  46. J. GANI et G.F. YEO (1962)—On the age distribution of n ranked elements after several replacements. AUSTRAL. J. STATIST. 4, 55–60.

    CrossRef  MathSciNet  MATH  Google Scholar 

  47. J. GANI (1963a)—Formulae for projecting enrolments and degrees awarded in universities. J. ROY STATIST. SOC. SER. A 126, 400–409.

    CrossRef  MathSciNet  Google Scholar 

  48. J. GANI (1963b)— The Condition of Science in Australian Universities: A Statistical Survey 1939–1960. PERGAMON PRESS, New York et Oxford.

    Google Scholar 

  49. J. GANI (1965)— On a partial differential equation of epidemic theory, I, BIOMETRIKA, Vol. 52, 617–622.

    MathSciNet  MATH  Google Scholar 

  50. J. GANI (1965)—On a partial differential equation of epidemic theory II. The model with immigration. OFFICE OF NAVAL RESEARCH TECHNICAL REPORT RM-124, MICHIGAN STATE UNIVERSITY.

    Google Scholar 

  51. J. GANI (1965)— Stochastic phage attachment to bacteria. BIOMETRICS 21, 134–139.

    CrossRef  MathSciNet  MATH  Google Scholar 

  52. J. GANI (1965)—Models for antibody attachment to virus and bacteriophage. PROC. 5th BERKELEY SYMP. MATH. STATIST. PROB. 4, 537–547. UNIVERSITY OF CALIFORNIA PRESS, Berkeley.

    Google Scholar 

  53. J. GANI (1965)— Stochastic models for bacteriophage. J. APPL. PROBABILITY 2, 225–268. MR 32, 1030.

    CrossRef  MathSciNet  MATH  Google Scholar 

  54. J. GANI (1965)— On the age distribution of replaceable ranked elements. J. MATH. ANAL. aPPL. 10, 587–597.

    CrossRef  MathSciNet  MATH  Google Scholar 

  55. J. GANI (1967)—On the general stochastic epidemic. PROC. 5th BERKELEY SYMP. MATH. STATIST. PROB. 4, 271–279. UNIVERSITY OF CALIFORNIA PRESS, Berkeley.

    Google Scholar 

  56. J. GANI (1967).—A problem of virus populations: attachment and detachment of antibodies. MATH. BIOSCIENCES, 1, 545–554.

    CrossRef  Google Scholar 

  57. J. GANI et R.C. SRIVASTAVA (1968)— A stochastic model for the attachment and detachment of antibodies to virus. MATH. BIOSCIENCES 3, 307–321.

    CrossRef  MATH  Google Scholar 

  58. J. GANI (1970)— Applications of probability to biology. In TIME SERIES AND STOCHASTIC PROCESSES; CONVEXITY AND COMBINATORICS. R. PYKE, ed., 197–207. CANAD. MATH. CONG., Montreal.

    Google Scholar 

  59. J. GANI (1971)— Some attachment models arising in virus populations. In STATISTICAL ECOLOGY, Vol. 2: Sampling and Modeling Biological Populations. G.P. PATIL, ed., 49–86. PENN. STATE U.P.

    Google Scholar 

  60. J. GANI (1973)—Stochastic formulations for life tables, age distributions and mortality curves. In THE MATHEMATICAL THEORY OF THE DYNAMICS OF BIOLOGICAL POPULATIONS, M.S. BARTLETT et R.W. HIORNS, eds., 291–302. ACADEMIC PRESS, London.

    Google Scholar 

  61. J. GANI (1969)— A chain binomial study of inoculation in epidemics. BULL. I.S.I. 43 (2), 203–204.

    Google Scholar 

  62. J. GANI et D. JERWOOD (1971)—Markov chain methods in chain binomial epidemic models. BIOMETRICS 27, 591–603.

    CrossRef  Google Scholar 

  63. J. GANI et D. JERWOOD (1972)—The cost of a general stochastic epidemic. J. APPL. PROBABILITY 9, 257–269.

    CrossRef  MathSciNet  MATH  Google Scholar 

  64. J. GANI et D.R. McNEIL (1971)—Joint distributions of random variables and their integrals for certain birth-death and diffusion processes. ADVANCES IN APPL. PROBABILITY 3, 339–352.

    CrossRef  MathSciNet  MATH  Google Scholar 

  65. J. GANI (1972).—Point processes in epidemiology. In STOCHASTIC POINT PROCESSES: STATISTICAL ANALYSIS, THEORY AND APPLICATIONS, P.A.W. LEWIS, ed., 756–773. WILEY-INTERSCIENCE, New York.

    Google Scholar 

  66. G.F. GAUSE (1934)—The Struggle for Existence. WILLIAMS AND WILKINS, Baltimore.

    CrossRef  Google Scholar 

  67. E.N. GILBERT (1965)—The probability of covering a sphere with N circular caps. BIOMETRIKA 52, 323–330.

    MathSciNet  MATH  Google Scholar 

  68. J. GRAUNT (1662)—Natural and Political Observations Made upon the Bills of Mortality. JOHN MARTYN (1676), London.

    Google Scholar 

  69. A.R. HALL (1962)—Projecting University populations. VESTES AUST. UNIV. REV. 5, no 3, 66–73.

    Google Scholar 

  70. J.B.S. HALDANE (1932)—The Causes of Evolution. LONGMANS GREEN, London.

    Google Scholar 

  71. E. HALLEY (1693)—An estimate of the degrees of the mortality of mankind drawn from curious tables of the births and funerals at the City of Breslaw. PHILOS. TRANS. ROY. SOC. LONDON (Abridged) 17, 483–491, (Complete) 17, 596–610.

    Google Scholar 

  72. T.E. HARRIS (1963)—The Theory of Branching Processes. DIE GRUNDLEHREN DER MATH. WISSENSCHAFTEN, BAND 119, SPRINGER-VERLAG, Berlin et New York, et PRENTICE-HALL, Englewood Cliffs, N.J. MR 29, 664.

    CrossRef  MATH  Google Scholar 

  73. C.C. HEYDE et E. SENETA (1972)—The simple branching process, a turning point test and a fundamental inequality: A historical note on I.J. Bienaymé, BIOMETRIKA 59, 680–683.

    MathSciNet  MATH  Google Scholar 

  74. J.M. HOEM (1971)— On the interpretation of certain vital rates as averages of underlying forces of transition. THEORET. POPULATION BIOLOGY 2, 454–468.

    CrossRef  MathSciNet  Google Scholar 

  75. J. HOLMES (1974)— Age structures of Canadian University Professors. U. AFFAIRS, March 1974.

    Google Scholar 

  76. M. IOSIFESCU et P. TAUTU (1973)— Stochastic Processes and Applications in Biology and Medicine. SPRINGER-VERLAG, Berlin et New York.

    Google Scholar 

  77. D. JERWOOD (1970)— A note on the cost of the simple epidemic. J. APPL. PROBABILITY 7, 440–443.

    CrossRef  MathSciNet  MATH  Google Scholar 

  78. D. JERWOOD (1971)— Cost of Epidemics. PH. D. THESIS, SHEFFIELD UNIVERSITY.

    Google Scholar 

  79. S. KARLIN (1968)— Branching processes. In MATHEMATICS OF THE DECISION SCIENCES, PART 2, AMER. MATH. SOC., Providence, R.I., 195–234. MR 38 2846.

    Google Scholar 

  80. S. KARLIN (1969)— Equilibrium behavior of population genetic models with non-random mating. I: Preliminaries and special mating systems, J. APPL. PROBABILITY 5, 231–313. II: Pedigrees, homozygosity and stochastic models, J. APPL. PROBABILITY 5, 487–566.

    CrossRef  MathSciNet  Google Scholar 

  81. S. KARLIN et J. McGREGOR (1965)— Ehrenfest urn models. J. AAPPL. PROBABILITY 2, 352–376.

    CrossRef  MathSciNet  MATH  Google Scholar 

  82. J. G. KEMENY (1973)— What every college president should know about mathematics. AMER. MATH. MONTHLY 80, 889–901.

    CrossRef  MathSciNet  Google Scholar 

  83. D. G. KENDALL (1948)— On the generalized birth and death process. ANN. MATH. STATIST. 19, 1–15.

    CrossRef  MathSciNet  Google Scholar 

  84. D. G. KENDALL (1952)— Les processus stochastiques de croissance en biologie, ANN. INST. H. POINCARE 13, 43–108.

    MathSciNet  MATH  Google Scholar 

  85. D. G. KENDALL (1956)— Deterministic and stochastic epidemics in closed populations. PROC. 3rd BERKELEY SYMPOS. MATH. STATIST. PROB. (1954-55), Vol. 4, 149–165, UNIV. OF CALIFORNIA PRESS, Berkeley. MR 18, 953.

    Google Scholar 

  86. D. G. KENDALL (1966)— Branching processes since 1873. J. LONDON MATH. SOC. 41, 385–406. MR 33, 6706.

    CrossRef  MathSciNet  MATH  Google Scholar 

  87. W. O. KERMACK et A. G. McKENDRICK (1927–1939)— Contributions to the mathematical theory of epidemics I–V. PROC. ROY. SOC. LONDON, SER. A 115 (1927), 700–721, PROC. ROY. SOC. LONDON, SER. A 138 (1932), 55–83; PROC. ROY. SOC. LONDON SER. A 141 (1933), 94–122; J. HYG. CAMB. 37 (1937), 172–187; J. HYG. CAMB. 39 (1939), 271–288.

    CrossRef  Google Scholar 

  88. N. KEYFITZ (1968)— Introduction to the Mathematics of Population. ADDISON-WESLEY, Reading, Massachusetts.

    Google Scholar 

  89. N. KEYFITZ (1970)— Finding probabilities from observed rates, or how to make a life table. AMER. STATIST. 24, 28–33.

    Google Scholar 

  90. J. J. KIPLING (1965)— Adsorption from Solutions of Non-Electrolytes. ACADEMIC PRESS, New York.

    Google Scholar 

  91. M. R. KLAUBER (1971)— Two-sample randomization tests for space-time clustering. BIOMETRICS 27, 129–142.

    CrossRef  Google Scholar 

  92. G. KNOX (1964a)— Epidemiology of childhood leukaemia in Northumberland and Durham, BRIT. J. PREV. MED. 18, 17–24.

    Google Scholar 

  93. G. KNOX (1964b)— The detection of space-time interactions. APPL. STATIST. 13, 25–29.

    CrossRef  Google Scholar 

  94. L. LE CAM (1947)— Un instrument d’étude des fonctions aléatoires: la fonctionnelle caractéristique. C.R.A.S. Paris 224, 710–711.

    MATH  Google Scholar 

  95. P. H. LESLIE (1945)— On the use of matrices in certain population mathematics. BIOMETRIKA 33, 183–212.

    CrossRef  MathSciNet  MATH  Google Scholar 

  96. P. H. LESLIE (1958)— A stochastic model for studying the properties of certain biological systems by numerical methods. BIOMETRIKA 45, 16–31. MR 19, 1245.

    MathSciNet  MATH  Google Scholar 

  97. A. J. LOTKA (1958)— Elements of Mathematical Biology, DOVER, New York, MR 20.

    Google Scholar 

  98. N. MANTEL (1967)— The detection of disease clustering and a general regression approach. CANCER RES. 27, 209–220.

    Google Scholar 

  99. J. MAYNARD SMITH (1968)— Mathematical Ideas in Biology. CAMBRIDGE UNIV. PRESS.

    Google Scholar 

  100. N. McARTHUR (1961)— Introducing Population Statistics. OXFORD UNIV. PRESS.

    Google Scholar 

  101. A. G. McKENDRICK (1926)— Applications of mathematics to medical problems. PROC. EDINBURGH MATH. SOC. 40, 98–130.

    Google Scholar 

  102. D. R. McNEIL (1970)— Integral functionals of birth and death processes and related limiting distributions. ANN. MATH. STATIST. 41, 480–485.

    CrossRef  MathSciNet  MATH  Google Scholar 

  103. D. A. McQUARRIE (1967)— Stochastic approach to chemical kinetics. J. APPL. PROBABILITY 4, 431–478.

    CrossRef  MathSciNet  Google Scholar 

  104. G. MENDEL (1866)— Experiments in plant hybridisation. English Translation of the Verh. Naturf. Ver. in Brünn Abhandlungen, Vol. IV, 1865 paper in CLASSIC PAPERS IN GENETICS, J. A. PETERS (editor), PRENTICE-HALL, Englewood Cliffs, N.J. 1959.

    Google Scholar 

  105. P. A. P. MORAN et FAZEKAS de St. GROTH (1962)— Random circles on a sphere. BIOMETRIKA 49, 384–396.

    Google Scholar 

  106. P. A. P. MORAN (1962)— The statistical Processes of Evolutionary Theory. OXFORD UNIV. PRESS.

    Google Scholar 

  107. B. J. T. MORGAN (1971)— On the solution of differential equations arising in some attachment models of virology. J. APPL. PROBABILITY 8, 215–221.

    CrossRef  MathSciNet  MATH  Google Scholar 

  108. J. E. MOYAL (1949)— Stochastic processes and statistical physics. J. ROY STATIST. SOC. SER. B 11, 150–210.

    MathSciNet  MATH  Google Scholar 

  109. J. E. MOYAL (1957)— Discontinuous Markoff processes. ACTA MATH. 98, 221–264.

    CrossRef  MathSciNet  MATH  Google Scholar 

  110. A.N. NAGAEV et A.N. STARTSEV (1970)—Asymptotic analysis of a stochastic epidemic model. TEOR. VEROJATNOST. I PRIMENEN. 15, 97–105.

    MathSciNet  Google Scholar 

  111. J. NEYMAN et E.L. SCOTT (1964)—A stochastic model of epidemics. In STOCHASTIC MODEL IN MEDICINE AND BIOLOGY. J. GURLAND (editor), UNIV. oF WISCONSIN PRESS, Madison, WIS. 45–83.

    Google Scholar 

  112. J. ORRISS (1969).—Equilibrium distributions for systems of chemical reactions with applications to the theory of molecular adsorption. J. APPL. PROBABILITY 6, 505–515.

    CrossRef  MathSciNet  MATH  Google Scholar 

  113. K. PEARSON (1956)—Karl Pearson’s early statistical paperss (including the 1900 paper on X2). BIOMETRIKA PUBLICATIONS. CAMBRIDGE UNIV. PRESS.

    Google Scholar 

  114. M.C. PIKE et P.G. SMITH (1968)—Disease clustering: a generalization of Knox’s approach to the detection of space-time interactions. BIOMETRICS 24, 541–558.

    CrossRef  Google Scholar 

  115. P.S. PURI (1966)—On the homogeneous birth and death process and its integral. BIOMETRIKA 53, 61–71.

    MathSciNet  MATH  Google Scholar 

  116. P. S. PURI (1968)—Some further results on the birth and death process and its integral. PROC. CAMBRIDGE PHILOS. SOC. 64, 141–154.

    CrossRef  MathSciNet  MATH  Google Scholar 

  117. P.S. PURI (1968)—A note on Gani’s models on phage attachment to bacteria. MATH. BIOSCIENCES 2, 151–157.

    CrossRef  Google Scholar 

  118. P.S. PURI (1969)—Some new results in the mathematical theory of phage reproduction. J. APPL. PROBABILITY 6, 493–504.

    CrossRef  MathSciNet  MATH  Google Scholar 

  119. J.H. POLLARD (1968)—The multi-type Galton Watson process in a genetical context. BIOMETRICS 24, 147–158.

    CrossRef  Google Scholar 

  120. G. RONTD and G. TSNADY (1969)—On the intranbacterial phage development. ACTA BIOCHIM. BIOPHYS. ACAD. SCI. HUNGAR. 4 (1), 89–97.

    Google Scholar 

  121. H. RUBEN (1963)—The estimation of a fundamental interaction parameter in an emigration-immigration process. ANN. MATH. STATIST. 24, 238–259.

    CrossRef  MathSciNet  Google Scholar 

  122. J. SETHURAMAN (1961)—Some limit theorems for joint distributions. SANKHYA 23 A, 379–386.

    MathSciNet  MATH  Google Scholar 

  123. N. SEVERO (1967)—Two theorems on solutions of differential-difference equations and applications to epidemic theory. J. APPL. PROBABILITY 4, 271–280.

    CrossRef  MathSciNet  MATH  Google Scholar 

  124. V. SISKIND (1965)—A solution of the general stochastic epidemic. BIOMETRIKA, Vol. 52, 613–616.

    MathSciNet  MATH  Google Scholar 

  125. J.G. SKELLAM (1967)—Seasonal periodicity in theoretical population ecology. PROC. 5th BERKELEY SYMP. MATH STATIST. PROB. 4, 179–205. UNIVERSITY oF CALIFORNIA PRESS, Berkeley.

    Google Scholar 

  126. R.C. SRIVASTAVA (1967)—Some aspects of the stochastic model for the attachment of phages to bacteria. J. APPL. PROBABILITY 4, 9–18.

    CrossRef  MathSciNet  MATH  Google Scholar 

  127. R.C. SRIVASTIVA (1968)—Estimation of the parameter in the stochastic model for phage attachment to bacteria. ANN. MATH. STATIST. 39, 183–192.

    CrossRef  MathSciNet  Google Scholar 

  128. J.F. STEFFENSEN (1930)—Om sandsynligheden for at afkommet uddør. MATEMATISK TIDSSKRIFT B. 1, 19–23.

    Google Scholar 

  129. W.L. STEVENS (1939)—Solution to a geometrical problem in probability. ANN. EUGENICS 9, 315–320, MR 1, 245.

    CrossRef  MathSciNet  Google Scholar 

  130. P. TAUTU (1971)—Structural models in epidemiology: an introductory investigation. WHO SYMPOSIUM ON QUANTITATIVE EPIDEMIOLOGY, MOSCOW, 23–27 NOVEMBER 1970. ADVANCES IN APPL. PROBABILITY 3, 196–198.

    CrossRef  Google Scholar 

  131. V. VOLTERRA (1926)—Variazioni e fluttuazioni del numero d’individui in specie animali convivente. MEM. ACAD. LINCEI ROMA 2, 31–112.

    Google Scholar 

  132. G.H. WEISS (1971)—On a perturbation method for the theory of epidemics. WHO SYMPOSIUM ON QUANTITATIVE EPIDEMIOLOGY, MOSCOW, 23–27 November 1970. ADVANCES IN APPL. PROBABILITY 3, 218–220.

    CrossRef  Google Scholar 

  133. P. WHITTLE (1955)—The outcome of a stochastic epidemic. A note on Bailey’s paper. BIOMETRIKA, Vol. 42, 116–122.

    MathSciNet  MATH  Google Scholar 

  134. D. YASSKY (1962)—A model for the kinetics of phage attachment to bacteria in suspension. BIOMETRICS 18, 185–191.

    CrossRef  Google Scholar 

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Gani, J. (1975). Processus stochastiques de population. In: Hennequin, P.L. (eds) Ecole d’Eté de Probabilités de Saint-Flour IV—1974. Lecture Notes in Mathematics, vol 480. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080192

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