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 10Euler-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-mediatedcoexistenceof 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
4.2MendelianGenetics 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
