Mathematical Models for the Growth of Human Populations [Paperback]

This 1973 book gives an account of some of the models which have been proposed for studying the growth of human populations.First published in 1973, this book gives an account of some of the more important models which have been proposed for studying the growth of human populations, with a particular emphasis on stochastic models. This book will be of value to anyone with an interest mathematical models and statistics.First published in 1973, this book gives an account of some of the more important models which have been proposed for studying the growth of human populations, with a particular emphasis on stochastic models. This book will be of value to anyone with an interest mathematical models and statistics.First published in 1973, this book gives an account of some of the more important models which have been proposed for studying the growth of human populations, with a particular emphasis on stochastic models. Despite the practical importance of the subject, at the time of original publication there had been little connection between these models and their possible applications. The book drew together, for the first time, the theoretical analysis of the mathematician and the practical problems of the actuary. Exercises are set at the end of each chapter and brief solutions appear at the back of the text. This book will be of value to anyone with an interest mathematical models and statistics.Preface; 1. Introduction; 2. The life table; 3. The deterministic population models of T. Malthus, A. J. Lotka, and F. R. Sharpe and A. J. Lotka; 4. The deterministic theory of H. Bernadelli, P. H. Leslie and E. G. Lewis; 5. Simple birth and death processes; 6. The stochastic models of M. S. Bartlett and D. G. Kendall; 7. The two-sex problem; 8. The extinction of surnames; 9. The stochastic version of Leslie's model; 10. Hierarchical population models and recruitment; 11. Conclusion; References; References according to chapter and section; Solutions to exercises; AustralianlC,