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Book Categories |
Preface | ||
1 | Discrete Population Models | 1 |
1.1 | Nonoverlapping Generations and Discrete Time Models | 1 |
1.2 | Population with Age Structure | 12 |
2 | Population Dynamics in Continuous Time | 17 |
2.1 | The Logistic Equation and Human Demography | 17 |
2.2 | Two Interacting Species-Predator and Prey | 20 |
2.3 | Two Interacting Species-Competition and Cooperation | 30 |
2.4 | More Species | 38 |
2.5 | More Realism | 48 |
3 | Epidemics | 63 |
3.1 | The Spread of Diseases and Susceptibles/Infectives/Removed Models | 63 |
3.2 | Sexually Transmitted Diseases | 67 |
3.3 | A Model of Pair Formation | 69 |
3.4 | The Spread of Epidemics in Space | 73 |
4 | Evolution and Population Genetics | 79 |
4.1 | The Phase Space of Genotypes and the Hardy-Weinberg Law | 79 |
4.2 | Equations of Selection, Recombination, and Mutation | 83 |
4.3 | The Origins of Life and Eigen's Hypercycle | 91 |
4.4 | The Immune System | 98 |
5 | Morphogenesis and Pattern Formation | 105 |
5.1 | Modeling the Embryo-Thom's Catastrophe Theory | 105 |
5.2 | Animal Hide and Shell Patterns | 114 |
App. 1 | Discrete Mathematics | 125 |
App. 2 | Ordinary Differential Equations | 143 |
App. 3 | Partial Differential Equations | 157 |
App. 4 | Riemannian Geometry | 171 |
References | 179 | |
Index | 184 |
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Add Dynamical Models in Biology, use back cover copy • A 'down-to-earth' introduction to the growing field of modern mathematical biology • Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra
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Add Dynamical Models in Biology, use back cover copy • A 'down-to-earth' introduction to the growing field of modern mathematical biology • Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra
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