集団生物学および疫学における数理モデル Mathematical Models in Population Biology and Epidemiology (Texts in Applied Mathematics Vol.40) （2001. XXIII, 416 p. w. 117 figs. 24,5 cm）

Brauer, Fred/ Castillo-Chavez, Carlos

SPRINGER, BERLIN（2001発売）

• ページ数 410 p.
• 商品コード 9780387989020

Full Description

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Contents

Part I2. Discrete population models. 3. Continuous single-species population models with delay.- Part II: Models for Interacting Species. 4. Introduction and mathematical preliminaries. 5. Continuous models for two interacting populations. 6. Harvesting in two-species population models. 7. Multi-species population models.- Part III: Structured Population Models. 8. Models for population with age structure. 9. Models for populations with spatial distribution.