生物数学引论
图书信息生物数学引论
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作者： （美）尼古拉斯 著
出 版 社： 清华大学出版社
出版时间： 2009-11-1
开本： 16开
I S B N ： 9787302214892
定价：￥46.00
内容简介生物数学在应用数学中占有日益重要的地位，数学系培养的学生至少一部分人应当对这个领域有所了解。本书由浅入深讲述生物数学基础理论，从最经典的问题入手，最后走向学科前沿和近年的热点问题；内容先进，讲述方法科学，简洁明了，易读性好。适合用作数学及生命科学专业高年级本科生相关课程教材或参考书。
目录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
1.8Fibonacci'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