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Analytical theory of biological populations

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Insurance, Mortality, Demography, Risk Management Mathematical and Theoretical Epidemiology and Ecology Models Evolution and Genetic Dynamics

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Principles: 1. On Evolution in Organic and Inorganic Systems. 2. On the Direction of Time. 3. On Energetics and Uncertainty. 4. Biological Stoichiometry. Demographic Analysis with Specific Application to the Human Species: 1. Introduction. 2. Relations Involving Mortality and Births. 3. Relations Involving Fertility. 4. The Progeny of a Population Element. 5. Indices and Measures of Natural Increase. 6. Relations Involving Fertility by Birth Order. 7. Relations Involving the Survival Functions of Two Individuals. 8. Extinction of a Line of Descent. 9. Conclusion. Appendix. Bibliography. Author Index. Subject Index.

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2010The net reproduction rate and the type-reproduction number in multiregional demography

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