Deterministic Aspects of Mathematical Demography

1. Front Matter

   Pages I-XI

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2. The Development of Mathematical Demography

   • John Impagliazzo

   Pages 1-36

3. An Overview of the Stable Theory of Population

   • John Impagliazzo

   Pages 37-58

4. The Discrete Time Recurrence Model

   • John Impagliazzo

   Pages 59-74

5. The Continuous Time Model

   • John Impagliazzo

   Pages 75-93

6. The Discrete Time Matrix Model

   • John Impagliazzo

   Pages 95-125

7. Comparative Aspects of Stable Population Models

   • John Impagliazzo

   Pages 127-132

8. Extensions of Stable Population Theory

   • John Impagliazzo

   Pages 133-153

9. The Kingdom of Denmark — A Demographic Example

   • John Impagliazzo

   Pages 155-174

10. Back Matter

    Pages 175-188

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Mathematical Demography, the study of population and its analysis through mathematical models, has received increased interest in the mathematical com­ munity in recent years. It was not until the twentieth century, however, that the study of population, predominantly human population, achieved its math­ ematical character. The subject of mathematical demography can be viewed from either a deterministic viewpoint or from a stochastic viewpoint. For the sake of brevity, stochastic models are not included in this work. It is, therefore, my intention to consider only established deterministic models in this discussion, starting with the life table as the earliest model, to a generalized matrix model which is developed in this treatise. These deterministic models provide sufficient de­ velopment and conclusions to formulate sound mathematical population analy­ sis and estimates of population projections. It should be noted that although the subject of mathematical demography focuses on human populations, the development and results may be applied to any population as long as the preconditions that make the model valid are maintained. Information concerning mathematical demography is at best fragmented.

• Mathematica
• demography
• matrix

• Nassau Community College, State University of New York, Garden City, USA

  John Impagliazzo

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