生物数学第1卷第3版

contents， volume i
preface to the third edition
preface to the first edition
1. continuous population models for single species
1.1 continuous growth models
1.2 insect outbreak model： spruce budworm
1.3 delay models
1.4 linear analysis of delay population models： periodicsolutions
1.5 delay models in physiology： periodic dynamic diseases
1.6 harvesting a single natural population
1.7 population model with age distribution
exercises

2. discrete population models for a single species
2.1 introduction： simple modelscontents， volume i
preface to the third edition
preface to the first edition
1. continuous population models for single species
1.1 continuous growth models
1.2 insect outbreak model： spruce budworm
1.3 delay models
1.4 linear analysis of delay population models： periodicsolutions
1.5 delay models in physiology： periodic dynamic diseases
1.6 harvesting a single natural population
1.7 population model with age distribution
exercises

2. discrete population models for a single species
2.1 introduction： simple models
2.2 cobwebbing： a graphical procedure of solution
2.3 discrete logistic-type model： chaos
2.4 stability， periodic solutions and bifurcations
2.5 discrete delay models
2.6 fishery management model
.2.7 ecological implications and caveats
2.8 tumour cell growth
exercises

3. models for interacting populations
3.1 predator-prey models： lotka-volterra systems
3.2 complexity and stability
3.3 realistic predator-prey models
3.4 analysis of a predator-prey model with limit cycle periodicbehaviour： parameter domains of stability
3.5 competition models： competitive exclusion principle
3.6 mutualism or symbiosis
3.7 general models and cautionary remarks
3.8 threshold phenomena
3.9 discrete growth models for interacting populations
3.10 predator-prey models： detailed analysis
exercises

4. temperature-dependent sex determination （tsd）
4.1 biological introduction and historical asides on thecrocodilia.
4.2 nesting assumptions and simple population model
4.3 age-structured population model for crocodilia
4.4 density-dependent age-structured model equations
4.5 stability of the female population in wet marsh region l
4.6 sex ratio and survivorship
4.7 temperature-dependent sex determination （tsd） versus geneticsex determination （gsd）
4.8 related aspects on sex determination
exercise

5. modelling the dynamics of marital interaction： divorceprediction and marriage repair
5.1 psychological background and data： gottman and levensonmethodology
5.2 marital typology and modelling motivation
5.3 modelling strategy and the model equations
5.4 steady states and stability
5.5 practical results from the model
5.6 benefits， implications and marriage repair scenarios
6. reaction kinetics
6.1 enzyme kinetics： basic enzyme reaction
6.2 transient time estimates and nondimensionalisation
6.3 michaelis-menten quasi-steady state analysis
6.4 suicide substrate kinetics
6.5 cooperative phenomena
6.6 autocatalysis， activation and inhibition
6.7 multiple steady states， mushrooms and isolas
exercises

7. biological oscillators and switches
7.1 motivation， brief history and background
7.2 feedback control mechanisms
7.3 oscillators and switches with two or more species： generalqualitative results
7.4 simple two-species oscillators： parameter domain determinationfor oscillations
7.5 hodgkin-huxley theory of nerve membranes：fitzhugh-nagumomodel
7.6 modelling the control of testosterone secretion and chemicalcastration
exercises

8. bz oscillating reactions
8.1 belousov reaction and the field-koros-noyes （fkn） model
8.2 linear