生物數學引論

《生物數學引論》是2009年清華大學出版社出版的圖書，作者是（美）尼古拉斯。

基本介紹

• 書名：《生物數學引論》
• 作者：（美）尼古拉斯
• ISBN：9787302214892
• 定價：￥46.00
• 出版社：清華大學出版社
• 出版時間：2009-11-1
• 開本：16開

內容簡介

《生物數學引論》講述生物數學在套用數學中占有日益重要的地位，數學系培養的學生至少一部分人應當對這個領域有所了解。本書由淺入深講述生物數學基礎理論，從最經典的問題入手，最後走向學科前沿和近年的熱點問題；內容先進，講述方法科學，簡潔明了，易讀性好。

《生物數學引論》由淺入深講述生物數學基礎理論，從最經典的問題入手，最後走向學科前沿和近年的熱點問題；內容先進，講述方法科學，簡潔明了，易讀性好。生物數學在套用數學中占有日益重要的地位，數學系培養的學生至少一部分人應當對這個領域有所了解。隨著生命科學的迅速發展，生物數學也發展很快。
《生物數學引論》自身具有完整體系，在“微積分”、“代數”等基礎課知識之外，讀者不需要其他預備知識。
《生物數學引論》適合用作數學及生命科學高年級本科生相關課程教材或參考書。

目錄

Contents

List of Figures

1. Single Species Population Dynamics

1.1 Introduction

1.2 Linear and Nonlinear First Order Discrete Time Models.

1.2.1 The Biology of Insect Population Dynamics

1.2.2 A Model for Insect Population Dynamics with Competition

1.3 Differential-Equation Models

1.4 EvolutionaryAspects

1.5 Harvesting and Fisheries

1.6 Metapopulations

1.7 Delay Effects

1.8　Fibonacci's-Rabbits

1.9 Leslie Matrices: Age-structured Populations in Discrete Time

1 10 Euler-Lotka Equations

1.10.1 Discrete Time

1.10.2 Continuous Time

1.11 The McKendrick Approach to Age Structure

1 12 Conclusions

2. Population Dynamics of Interacting Species

2.1 Introduction

2 2 Host-parasitoid Interactions

2.3 The Lotka-Volterra Prey-predator Equations

2.4 Modelling the Predator Functional Response

2.5 Competition.

2.6 Ecosystems Modelling

2.7 Interacting Metapopulations

2.7.1 Competition

2.7.2 Predation

2.7.3 Predator-mediated Coexistence of Competitors

2.7.4 Effects of Habitat Destruction

2.8 Conclusions

3. Infectious Diseases

3.1 Introduction

3.2 The Simple Epidemic and SIS Diseases

3.3 SIR Epidemics

3.4 SIR Endemics

3.4.1 No Disease-related Death

3.4.2 Including Disease-related Death

3.5 Eradication and Control

3.6 Age-structured Populations

3.6.1 The Equations

3.6.2 Steady State

3.7 Vector-borne Diseases

3.8 Basic Model for Macroparasitic Diseases

3.9 Evolutionary Aspects

3.10 Conclusions

4. Population Genetics and Evolution

4.1 Introduction

4.2 Mendelian Genetics in Populations with Non-overlapping Generations

4.3 Selection Pressure

4.4 Selection in Some Special Cases

4.4.1 Selection for a Dominant Allele

4.4.2 Selection for a Recessive Allele

4.4.3 Selection against Dominant and Recessive Alleles

4.4.4 The Additive Case

4.5 Analytical Approach for Weak Selection

4.6 The Balance Between Selection and Mutation

4.7 Wright's Adaptive Topography

4.8 Evolution of the Genetic System

4.9 Game Theory

4.10 Replicator Dynamics

4.11 Conclusions

5. Biological Motion

6. Molecular and Cellular Biology

7. Pattern Formation

8. Tumour Modelling

Further Reading

Index