A short history of mathematical population dynamics

A Short History of Mathematical Population Dynamics

Volumn , Issue , 2011, Pages 1-160

  Bacaër, Nicolas ^a  

^a INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84892813142     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-0-85729-115-8     Document Type: Book

References (197)

1. Bernoulli, D.: Observationes de seriebus⋯ Comment. Acad. Sci. Imp. Petropolitanae 3, 85-100 (1728/1732)
2. Reproduced in: Die Werke von Daniel Bernoulli, Band 2, Birkhäuser, Basel, 1982, pp. 49-64 books.google.com
3. Sigler, L. E.: Fibonacci's Liber Abaci. Springer, New York (2002) books. google.com
4. Vogel, K.: Leonardo Fibonacci. In: Gillespie, C. C. (ed.) Dictionary of Scientific Biography, vol. 4, pp. 604-613. Scribner, New York (1971)
5. Fox, M. V.: Scheduling the Heavens: The Story of Edmond Halley. Morgan Reynolds, Greensboro, North Carolina (2007)
6. Graunt, J.: Natural and Political Observations Mentioned in a Following Index and Made upon the Bills of Mortality, 3rd edn. London (1665). echo.mpiwgberlin. mpg.de
7. Hald, A.: A History of Probability and Statistics and Their Applications before 1750. Wiley, Hoboken, New Jersey (2003). books.google.com
8. Halley, E.: An estimate of the degrees of the mortality of mankind, drawn from curious tables of the births and funerals at the city of Breslaw; with an attempt to ascertain the price of annuities upon lives. Phil. Trans. Roy. Soc. London 17, 596-610 (1693). gallica.bnf.fr
9. Heyde, C. C.: John Graunt. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 14-16. Springer, New York (2001)
10. Koch, P.: Caspar Neumann. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 29-32. Springer, New York (2001)
11. Le Bras, H.: Naissance de la mortalité, L'origine politique de la statistique et de la démographie. Gallimard, Paris (2000)
12. Euler, L.: Recherches générales sur la mortalité et la multiplication du genre humain. Hist. Acad. R. Sci. B.-Lett. Berl. 16, 144-164 (1760/1767). math. dartmouth.edu/~euler
13. Euler, L.: Sur la multiplication du genre humain. In: Leonhardi Euleri Opera omnia, Ser. I, vol. 7, pp. 545-552. Teubner, Leipzig (1923)
14. Euler, L.: Introductio in analysin infinitorum, Tomus primus. Bousquet, Lausanne (1748).
15. Also in: Leonhardi Euleri Opera omnia, Ser. I, vol. 8, Teubner, Leizig (1922). English translation, Springer, New York (1988). gallica. bnf.fr
16. Fellmann, E. A.: Leonhard Euler. Birkhäuser, Basel (2007)
17. Gumbel, E. J.: Eine Darstellung statistischer Reihen durch Euler. Jahresber. dtsch. Math. Ver. 25, 51-264 (1917). digizeitschriften. de
18. Reimer, K. F.: Johann Peter Süssmilch, seine Abstammung und Biographie. Arch. soz. Hyg. Demogr. 7, 20-28 (1932)
19. Rohrbasser, J. M.: Johann Peter Süssmilch. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 72-76. Springer, New York (2001)
20. Süssmilch, J. P.: Die göttliche Ordnung in den Veränderungen des menschlichen Geschlechts aus der Geburt, dem Tode und der Fortpflanzung desselben. Berlin (1761). echo.mpiwg-berlin. mpg.de
21. Warusfel, A.: Euler, les mathématiques et la vie. Vuibert, Paris (2009)
22. d'Alembert, J.: Onzième mémoire, Sur l'application du calcul des probabilités à l'inoculation de la petite vérole. In: Opuscules mathématiques, Tome second, pp. 26-95. David, Paris (1761). books.google.com
23. Bernoulli, D.: Réflexions sur les avantages de l'inoculation. Mercure de France, 173-190 (1760).
24. Also in: Die Werke von Daniel Bernoulli, Band 2, pp. 268-274. Birkhäuser, Basel (1982). books.google.com
25. Bernoulli, D.: Essai d'une nouvelle analyse de la mortalité causée par la petite vérole et des avantages de l'inoculation pour la prévenir. Hist. Acad. R. Sci. Paris, 1-45 (1760/1766).
26. English translation: Rev. Med. Virol. 14, 275-288 (2004). gallica.bnf.fr
27. Dietz, K., Heesterbeek, J. A. P.: Daniel Bernoulli's epidemiological model revisited. Math. Biosci. 180, 1-21 (2002)
28. Duvillard, E. E.: Analyse et tableaux de l'influence de la petite verole sur la mortalite à chaque age. Imprimerie Imperiale, Paris (1806). books.google.com
29. Lambert, J. H.: Contributions mathématiques a l'étude de la mortalité et de la nuptialite (1765 et 1772). INED, Paris (2006). books.google.com
30. Laplace, P. S.: Theorie analytique des probabilites. Courcier, Paris (1812). books.google.com
31. Straub, H.: Bernoulli, Daniel. In: Gillespie, C. C. (ed.) Dictionary of Scientific Biography, vol. 2, pp. 36-46. Scribner, New York (1970)
32. Tent, M. B. W.: Leonhard Euler and the Bernoullis. A K Peters, Natick, Massachusetts (2009)
33. Voltaire: Lettresphilosophiques. Lucas, Amsterdam (1734). gallica.bnf.fr
34. Condorcet: Esquisse d'un tableau historique des progrès de l'esprit humain. Agasse, Paris (1794). gallica.bnf.fr
35. Darwin, C.: On the Origin of Species by Means of Natural Selection, or the Preservation of Favoured Races in the Struggle for Life. John Murray, London (1859). darwin-online.org.uk
36. Godwin, W.: An Enquiry Concerning Political Justice. Robinson, London (1793). www.archive.org
37. Malthus, T. R.: An Essay on the Principle of Population, 1st edn. London (1798). www.econlib.org
38. Marx, K.: Capital, A Critical Analysis of Capitalist Production, vol. 1. London (1887). www.archive.org
39. Simpkins, D. M.: Malthus, Thomas Robert. In: Gillespie, C. C. (ed.) Dictionary of Scientific Biography, vol. 9, pp. 67-71. Scribner, New York (1974)
40. Lloyd, P. J.: American, German and British antecedents to Pearl and Reed's logistic curve. Pop. Stud. 21, 99-108 (1967)
41. McKendrick, A. G., Kesava Pai, M.: The rate of multiplication of microorganisms: A mathematical study. Proc. R. Soc. Edinb. 31, 649-655 (1911)
42. Pearl, R.: The Biology of Death. Lippincott, Philadelphia (1922). www.archive.org
43. Pearl, R., Reed, L. J.: On the rate of growth of the population of the United States since 1790 and its mathematical representation. Proc. Natl. Acad. Sci. 6, 275-288 (1920). www.pnas.org
44. Quetelet, A.: Sur l'homme et le développement de ses faculté s. Bachelier, Paris (1835). gallica.bnf.fr
45. Quetelet, A.: Pierre-François Verhulst. Annu. Acad. R. Sci. Lett. B.-Arts Belg. 16, 97-124 (1850). books.google.com
46. Quetelet, A.: Sciences mathématiques et physiques au commencement du XIXi ème siècle. Mucquardt, Bruxelles (1867). gallica.bnf.fr
47. Robertson, T. B.: On the normal rate of growth of an individual and its biochemical significance. Arch. Entwicklungsmechanik Org. 25, 581-614 (1908)
48. Verhulst, P.-F.: Notice sur la loi que la population poursuit dans son accroissement. Corresp. Math. Phys. 10, 113-121 (1838). books.google.com
49. Verhulst, P.-F.: Recherches mathématiques sur la loi d'accroissement de la population. Nouv. Mém. Acad. R. Sci. B.-lett. Brux. 18, 1-45 (1845). gdz.sub. uni-goettingen. de
50. Verhulst, P.-F.: Deuxième mémoire sur la loi d'accroissement de la population. M ém. Acad. R. Sci. Lett. B.-Arts Belg. 20, 142-173 (1847). www.digizeitschriften. de
51. Bienaymé, I. J.: De la loi de multiplication et de la durée des familles. Soc. Philomat. Paris 5, 37-39 (1845) Reprinted in Kendall (1975)
52. Bru, B.: À la recherche de la démonstration perdue de Bienaymé. Math. Sci. Hum. 114, 5-17 (1991). archive.numdam.org
53. Bru, B., Jongmans, F., Seneta, E.: I. J. Bienaymé: Family information and proof of the criticality theorem. Int. Stat. Rev. 60, 177-183 (1992)
54. Cournot, A.-A.: De l'origine et des limites de la correspondance entre l'algèbre et la géométrie. Hachette, Paris (1847). books.google.com
55. Doubleday, T.: The True Law of Population. Simpkin, Marshall, & Co., London (1842). www.archive.org
56. Heyde, C. C., Seneta, E.: I. J. Bienaymé: Statistical Theory Anticipated. Springer-Verlag, New York (1977)
57. Kendall, D. G.: The genealogy of genealogy: branching processes before (and after) 1873. Bull. Lond. Math. Soc. 7, 225-253 (1975)
58. Littré, É.: Conservation, révolution et positivisme. Ladrange, Paris (1852). books.google.com
59. Malthus, T. R.: An Essay on the Principle of Population, 2nd edn. Bensley, London (1803). www.archive.org
60. Martin, T.: Antoine Augustin Cournot. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 152-156. Springer, New York (2001)
61. Seneta, E.: Irenée-Jules Bienaymé. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 132-136. Springer, New York (2001)
62. Bateson, W.: Mendel's Principles of Heredity. Cambridge University Press (1913). www.archive.org
63. Mendel, J. G.: Versuche über Pflanzenhybriden. Verh. Naturforsch. Ver. Brünn 4, 3-47 (1866). www.esp.org. English translation in Bateson (1913)
64. Fisher, R. A.: Has Mendel's work been rediscovered? Ann. Sci. 1, 115-137 (1936). digital.library.adelaide.edu.au
65. De Candolle, A.: Histoire des sciences et des savants depuis deux siècles suivie d'autres études sur des sujets scientifiques en particulier sur la sélection dans l'espèce humaine. Georg, Genève (1873). www.archive.org
66. Galton, F.: Natural Inheritance. Macmillan, London (1889). galton.org
67. Galton, F.: Memories of my Life. Methuen & Co., London (1908). galton.org
68. Kendall, D. G.: Branching processes since 1873. J. Lond. Math. Soc. 41, 385-406 (1966)
69. Pearson, K.: The Life, Letters and Labours of Francis Galton, vol. 1. Cambridge University Press (1914). galton.org
70. Pearson, K.: The Life, Letters and Labours of Francis Galton, vol. 2. Cambridge University Press (1924). galton.org
71. S. H. B.: Henry William Watson, 1827-1903. Proc. R. Soc. Lond. 75, 266-269 (1905). gallica.bnf.fr
72. Watson, H. W., Galton, F.: On the probability of the extinction of families. J. Anthropol. Inst. 4, 138-144 (1875). galton.org
73. Crump, K. S., Mode, C. J.: A general age-dependent branching process. J. Math. Anal. Appl. 24, 494-508 (1968)
74. Dublin, L. I., Lotka, A. J.: On the true rate of natural increase. J. Amer. Stat. Assoc. 20, 305-339 (1925)
75. Feller, W.: On the integral equation of renewal theory. Ann. Math. Stat. 12, 243-267 (1941). projecteuclid.org
76. Fisher, R. A.: The actuarial treatment of official birth records. Eugen. Rev. 19, 103-108 (1927). digital.library.adelaide.edu.au
77. Gridgeman, N. T.: Lotka, Afred James. In: Gillespie, C. C. (ed.) Dictionary of Scientific Biography, vol. 8, p. 512. Scribner, New York (1981)
78. Kingsland, S. E.: Modeling Nature, Episodes in the History of Population Ecology, 2nd edn. University of Chicago Press (1995). books.google.com
79. Lotka, A. J.: Relation between birth rates and death rates. Science 26, 21-22 (1907) Reprinted in Smith & Keyfitz (1977)
80. Lotka, A. J.: Théorie analytique des associations biologiques, 2ième partie. Hermann, Paris (1939)
81. English translation: Analytical Theory of Biological Populations. Plenum Press, New York (1998). books.google.com
82. Sharpe, F. R., Lotka, A. J.: A problem in age-distribution. Philos. Mag. Ser. 6, 21, 435-438 (1911) Reprinted in Smith & Keyfitz (1977)
83. Smith, D. P., Keyfitz, N.: Mathematical Demography, Selected Papers. Springer, Berlin (1977)
84. Hardy, G. H.: Mendelian proportions in a mixed population. Science 28, 49-50 (1908). www.esp.org
85. Hardy, G. H.: A Mathematician's Apology. Foreword by C. P. Snow. Cambridge University Press (1967). books.google.com
86. Punnett, R. C.: Mendelism, 2nd edn. Cambridge University Press (1907). www.archive.org
87. Stern, C.: The Hardy-Weinberg law. Science 97, 137-138 (1943)
88. Stern, C.: Wilhelm Weinberg 1862-1937. Genetics 47, 1-5 (1962)
89. Titchmarsh, E. C.: Godfrey Harold Hardy, 1877-1947. Obit. Not. Fellows R. Soc. 6, 446-461 (1949)
90. Weinberg, W.: Über den Nachweis der Vererbung beim Menschen. Jahresh. Wuertt. Ver. vaterl. Natkd. 64, 369-382 (1908). www. biodiversitylibrary.org
91. G. H. F. N.: Sir Ronald Ross, 1857-1932. Obit. Not. Fellows Roy. Soc. 1, 108-115 (1933)
92. Ross, R.: The Prevention of Malaria, 1st edn. John Murray, London (1910). www.archive.org
93. Ross, R.: The Prevention of Malaria, 2nd edn. John Murray, London (1911)
94. Ross, R.: Memoirs with a Full Account of the Great Malaria Problem and its Solution. John Murray, London (1923). www.archive.org
95. Rowland, J.: The Mosquito Man, The Story of Sir Ronald Ross. Roy Publishers, New York (1958)
96. Goodstein, J. R.: The Volterra Chronicles, The Life and Times of an Extraordinary Mathematician 1860-1940. American Mathematical Society (2007). books.google.com
97. Guerraggio, A., Nastasi, P.: Italian Mathematics between the Two World Wars. Birkhäuser, Basel (2005). books.google.com
98. Israel, G., Gasca, A. M.: The Biology of Numbers - The Correspondence of Vito Volterra on Mathematical Biology. Birkhäuser, Basel (2002)
99. Kingsland, S. E.: Modeling Nature, Episodes in the History of Population Ecology, 2nd edn. University of Chicago Press (1995). books.google.com
100. Lotka, A. J.: Analytical note on certain rhythmic relations in organic systems. Proc. Natl. Acad. Sci. 6, 410-415 (1920). www.pnas.org
101. Lotka, A. J.: Undamped oscillations derived from the law of mass action. J. Amer. Chem. Soc. 42, 1595-1599 (1920). www.archive.org
102. Lotka, A. J.: Elements of Physical Biology. Williams & Wilkins, Baltimore (1925). www.archive.org
103. Volterra, V.: Variazioni e fluttuazioni del numero d'individui in specie animali conviventi. Mem. Accad. Lincei 6, 31-113 (1926)
104. Reprinted in: Opere matematiche, vol. 5, Accademia nazionale dei Lincei, Roma (1962)
105. Volterra, V.: Fluctuations in the abundance of a species considered mathematically. Nature 118, 558-560 (1926).
106. Reprinted in L. A. Real, J. H. Brown (eds.) Foundations of Ecology, pp. 283-285. University of Chicago Press (1991)
107. Volterra, V.: Leçons sur la Théorie Mathématique de la Lutte pour la Vie. Gauthier-Villars, Paris (1931)
108. Volterra, V., D'Ancona, U.: Les Associations Biologiques au Point de Vue Mathématique. Hermann, Paris (1935)
109. Whittaker, E. T.: Vito Volterra 1860-1940. Obit. Not. Fellows R. Soc. 3, 690-729 (1941)
110. Fisher Box, J.: R. A. Fisher, The Life of a Scientist. John Wiley & Sons, New York (1978)
111. Fisher, R. A.: On the dominance ratio. Proc. R. Soc. Edinb. 42, 321-341 (1922). digital.library.adelaide.edu.au
112. Fisher, R. A.: The Genetical Theory of Natural Selection. Clarendon Press, Oxford (1930). www.archive.org
113. Yates, F., Mather, K.: Ronald Aylmer Fisher 1890-1962. Biog. Mem. Fellows R. Soc. 9, 91-120 (1963). digital.library.adelaide.edu.au
114. Aldous, D. J.: Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today. Stat. Sci. 16, 23-34 (2001). projecteuclid.org
115. Edwards, A. W. F.: George Udny Yule. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 292-294. Springer, New York (2001)
116. McKendrick, A. G.: Studies on the theory of continuous probabilities with special reference to its bearing on natural phenomena of a progressive nature. Proc. Lond. Math. Soc. 13, 401-416 (1914)
117. Simon, H. A.: On a class of skew distribution functions. Biometrika 42, 425-440 (1955)
118. Willis, J. C.: Age and Area, A Study in Geographical Distribution and Origin of Species. Cambridge University Press (1922). www.archive.org
119. Yates, F.: George Udny Yule. Obit. Not. Fellows R. Soc. 8, 308-323 (1952)
120. Yule, G. U.: A mathematical theory of evolution, based on the conclusions of Dr. J. C. Willis, F. R. S. Phil. Trans. Roy. Soc. Lond. B 213, 21-87 (1925). gallica.bnf.fr
121. Advisory Committee appointed by the Secretary of State for India, the Royal Society and the Lister Institute: Reports on plague investigations in India, XXII, Epidemiological observations in Bombay City. J. Hyg. 7, 724-798 (1907). www.ncbi.nlm.nih.gov
122. Davidson, J. N., Yates, F., McCrea, W. H.: William Ogilvy Kermack 1898-1970. Biog. Mem. Fellows R. Soc. 17, 399-429 (1971)
123. 0in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28, 365-382 (1990)
124. Gani, J.: A. G. McKendrick. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 323-327. Springer, New York (2001). books.google.com
125. Harvey, W. F.: A. G. McKendrick 1876-1943. Edinb. Med. J. 50, 500-506 (1943)
126. McKendrick, A. G.: Applications of mathematics to medical problems. Proc. Edinb. Math. Soc. 13, 98-130 (1926)
127. Kermack, W. O., McKendrick, A. G.: A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. A 115, 700-721 (1927). gallica.bnf.fr
128. Clark, R.: J. B. S., The Life and Work of J. B. S. Haldane. Hodder and Stoughton, London (1968)
129. Haldane, J. B. S.: A mathematical theory of natural and artificial selection, Part V, Selection and mutation. Proc. Camb. Philos. Soc. 23, 838-844 (1927)
130. Haldane, J. B. S.: The Causes of Evolution. Longmans (1932) Reprint, Princeton University Press (1990). books.google.com
131. Pirie, N. W.: John Burdon Sanderson Haldane 1892-1964. Biog. Mem. Fellows R. Soc. 12, 218-249 (1966)
132. Brockmeyer, E., Halstrøm, H. L., Jensen, A.: The life and works of A. K. Erlang. Trans. Dan. Acad. Techn. Sci. 2 (1948). oldwww.com.dtu.dk
133. Erlang, A. K.: Opgave Nr. 15. Mat. Tidsskr. B, 36 (1929) Translation in Guttorp (1995)
134. Guttorp, P.: Three papers on the history of branching processes. Int. Stat. Rev. 63, 233-245 (1995). www.stat.washington.edu
135. Heyde, C. C.: Agner Krarup Erlang. In: Heyde, C. C., Seneta, E. (eds.) Statisticians of the Centuries, pp. 328-330. Springer, New York (2001)
136. Ogborn, M. E.: Johan Frederik Steffensen, 1873-1961. J. R. Stat. Soc. Ser. A 125, 672-673 (1962)
137. Steffensen, J. F.: Om Sandssynligheden for at Afkommet uddør. Mat. Tidsskr. B, 19-23 (1930) English translation in Guttorp (1995)
138. Steffensen, J. F.: Deux problèmes du calcul des probabilités. Ann. Inst. Henri Poincaré 3, 319-344 (1933). archive.numdam.org
139. Fisher, R. A.: The Genetical Theory of Natural Selection. Clarendon Press, Oxford (1930). www.archive.org
140. Hill, W. G.: Sewall Wright, 21 December 1889-3 March 1988. Biog. Mem. Fellows R. Soc. 36, 568-579 (1990)
141. Kimura, M.: The Neutral Theory of Molecular Evolution. Cambridge University Press (1983). books.google.com
142. Provine, W. B.: Sewall Wright and Evolutionary Biology. University of Chicago Press (1989). books.google.com
143. Wright, S.: Evolution in Mendelian populations. Genetics 16, 97-159 (1931). www.esp.org
144. Wright, S.: Evolution and the Genetics of Populations, Vol. 2, Theory of Gene Frequencies. University of Chicago Press (1969). books.google.com
145. Fisher, R. A.: The wave of advance of advantageous genes. Ann. Eugen. 7, 355-369 (1937). digital.library.adelaide.edu.au
146. Kolmogorov, A. N., Petrovskii, I. G., Piskunov, N. S.: A study of the diffusion equation with increase in the amount of substance, and its application to a biological problem. Bull. Moscow Univ. Math. Mech. 1:6, 1-26 (1937)
147. Reprinted in: V. M. Tikhomirov (ed.) Selected Works of A. N. Kolmogorov, vol. 1, p. 242-270. Kluwer, Dordrecht (1991).
148. Also in: I. G. Petrowsky Selected Works, Part II, pp. 106-132. Gordon and Breach, Amsterdam (1996). books.google.com
149. Oleinik, O. A.: I. G. Petrowsky and modern mathematics. In: I. G. Petrowsky Selected Works, Part I, pp. 4-30. Gordon and Breach, Amsterdam (1996). books.google.com
150. Pearson, K.: Mathematical Contributions to the Theory of Evolution, XV, A Mathematical Theory of Random Migration. Dulau, London (1906). www.archive.org
151. Rosenfeld, B. A.: Reminiscences of Soviet Mathematicians. In: Zdravkovska, S., Duren, P. L. (eds.) Golden Years of Moscow Mathematics, 2nd edn., pp. 75-100. American Mathematical Society (2007). books.google.com
152. Shiryaev, A. N. (ed.): Selected Works of A. N. Kolmogorov, vol. 2. Kluwer, Dordrecht (1992). books.google.com
153. Shiryaev, A. N.: Andrei Nikolaevich Kolmogorov (April 25, 1903 to October 20, 1987). In: Kolmogorov in Perspective, pp. 1-88. American Mathematical Society (2000). books.google.com
154. Anonymous: Dr P. H. Leslie. Nature 239, 477-478 (1972)
155. Crowcroft, P.: Elton's Ecologists, A History of the Bureau of Animal Population. University of Chicago Press (1991). books.google.com
156. Leslie, P. H.: On the use of matrices in certain population mathematics. Biometrika 33, 213-245 (1945)
157. Grimmett, G., Welsh, D.: John Michael Hammersley. Biogr. Mem. Fellows R. Soc. 53, 163-183 (2007)
158. Broadbent, S. R.: Discussion on symposium on Monte Carlo methods. J. R. Stat. Soc. B 16, 68 (1954)
159. Broadbent, S. R., Hammersley, J. M.: Percolation processes I: Crystals and mazes. Proc. Camb. Philos. Soc. 53, 629-641 (1957)
160. Broadbent, T.: Simon Broadbent - The man with a sense of fun who gave advertising a value. Campaign, 26 April 2002. campaignlive.co.uk
161. Hammersley, J. M.: Percolation processes II: The connective constant. Proc. Camb. Philos. Soc. 53, 642-645 (1957)
162. Hammersley, J. M.: Percolation processes: lower bounds for the critical probability. Ann. Math. Stat. 28, 790-795 (1957)
163. Hammersley, J. M.: Origins of percolation theory. In: Deutscher, G., Zallen, R., Adler, J. (eds.) Percolation Structures and Processes, pp. 47-57. Israel Physical Society (1983)
164. Hammersley, J. M., Morton, K. W.: Poor man's Monte Carlo. J. R. Stat. Soc. B 16, 23-38 (1954)
165. Hammersley, J. M., Handscomb, D. C.: Monte Carlo Methods. Fletcher & Son, Norwich (1964). books.google.com
166. Kesten, H.: The critical probability of bond percolation on the square lattice equals 1/2. Comm. Math. Phys. 74, 41-59 (1980)
167. Metropolis, N., Ulam, S.: The Monte Carlo method. J. Amer. Stat. Assoc. 44, 335-341 (1949)
168. Charlesworth, B., Harvey, P.: John Maynard Smith, 6 January 1920-19 April 2004. Biog. Mem. Fellows R. Soc. 51, 253-265 (2005)
169. Edwards, A. W. F.: Carl Düsing (1884) on the regulation of the sex-ratio. Theor. Pop. Biol. 58, 255-257 (2000)
170. Frank, S. A.: George Price's contributions to evolutionary genetics. J. Theor. Biol. 175, 373-388 (1995)
171. Maynard Smith, J., Price, G. R.: The logic of animal conflict. Nature 246, 15-18 (1973)
172. Maynard Smith, J.: Evolution and the Theory of Games. Cambridge University Press (1982). books.google.com
173. Schwartz, J.: Death of an altruist: Was the man who found the selfless gene too good for this world? Lingua Franca 10, 51-61 (2000). bio.kuleuven. be
174. Sigmund, K.: John Maynard Smith and evolutionary game theory. Theor. Pop. Biol. 68, 7-10 (2005)
175. Taylor, P. D., Jonker, L. B.: Evolutionary stable strategies and game dynamics. Math. Biosci. 40, 145-156 (1978)
176. Von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press (1944). www.archive.org
177. Gleick, J.: Chaos, Making a New Science. Viking Penguin Inc., New York (1987)
178. Levin, S. A.: Robert May receives Crafoord prize. Not. Amer. Math. Soc. 43, 977-978 (1996). www.ams.org
179. Li, T. Y., Yorke, J. A.: Period three implies chaos. Amer. Math. Monthly 82, 985-992 (1975)
180. Lorenz, E. N.: Deterministic nonperiodic flow. J. Atmosph. Sci. 20, 130-141 (1963). ams.allenpress.com
181. May, R. M.: Biological populations with nonoverlapping generations: stable points, stable cycles and chaos. Science 186, 645-647 (1974)
182. May, R. M.: Simple mathematical models with very complicated dynamics. Nature 261, 459-467 (1976)
183. May, R. M., Oster, G. F.: Bifurcations and dynamic complexity in simple ecological models. Amer. Natur. 110, 573-599 (1976)
184. Maynard Smith, J.: Mathematical Ideas in Biology. Cambridge University Press (1968). books.google.com
185. Poincaré, H.: Science et Méthode. Flammarion, Paris (1908)
186. Sharkovsky, O. M.: Co-existence of cycles of a continuous mapping of a line onto itself. Ukr. Math. J. 16, 61-71 (1964)
187. Ulam, S. M., von Neumann, J.: On combination of stochastic and deterministic processes. Bull. Amer. Math. Soc. 53, 1120 (1947). www.ams.org
188. Greenhalgh, S.: Missile science, population science: The origins of China's onechild policy. China Q. 182, 253-276 (2005)
189. Greenhalgh, S.: Just One Child, Science and Policy in Deng's China. University of California Press (2008)
190. Meadows, D. H., Meadows, D. L., Randers, J., Behrens, W. W.: The Limits to Growth, A Report for the Club of Rome's Project on the Predicament of Mankind, 2nd edn. Universe Books, New York (1974)
191. Song, J.: Selected Works of J. Song. Science Press, Beijing (1999)
192. Song, J.: Some developments in mathematical demography and their application to the People's Republic of China. Theor. Popul. Biol. 22, 382-391 (1982)
193. Song, J., Yu, J.: Population System Control. Springer, Berlin (1988)
194. 0for vectorborne diseases with a periodic vector population. Bull. Math. Biol. 69, 1067-1091 (2007)
195. Bacaër, N., Gomes, M. G. M.: On the final size of epidemics with seasonality. Bull. Math. Biol. 71, 1954-1966 (2009)
196. Bennett, J. H.: Experiments in Plant Hybridisation. Oliver & Boyd, Edinburgh (1965)
197. Levin, S. A.: Mathematics and biology, the interface. www.bio.vu.nl