UID:
almafu_9958100372402883
Format:
1 online resource (199 p.)
ISBN:
1-281-03709-5
,
9786611037093
,
0-08-053060-5
Content:
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
Note:
Description based upon print version of record.
,
Front Cover; Dynamical Models in Biology; Copyright Page; Preface; Contents; Chapter 1. Discrete Population Models; 1.1 Nonoverlapping Generations and Discrete Time Models; 1.2 Population with Age Structure; Chapter 2. Population Dynamics in Continuous time; 2.1 The Logistic Equation and Human Demography; 2.2 Two Interacting Species-Predator and Prey; 2.3 Two Interacting Species-Competition and Cooperation; 2.4 More Species; 2.5 More Realism; Chapter 3. Epidemics; 3.1 The Spread of Diseases and Susceptibles/Infectives/Removed Models; 3.2 Sexually Transmitted Diseases
,
3.3 A Model of Pair Formation3.4 The Spread of Epidemics in Space; Chapter 4. Evolution And population Genetics; 4.1 The Phase Space of Genotypes and the Hardy-Weinberg Law; 4.2 Equations of Selection, Recombination, and Mutation; 4.3 The Origins of Life and Eigen's Hypercycle; 4.4 The Immune System; Chapter 5. Morphogenesis And Pattern Formation; 5.1 Modeling the Embryo-Thom's Catastrophe Theory; 5.2 Animal Hide and Shell Patterns; Appendix 1. Discrete Mathematics; A1.1 Linear Algebra; A1.2 One-Dimensional Discrete Semiflows; A1.3 Discrete Dynamical Systems; A1.4 Branching Processes
,
Appendix 2. Ordinary Differential EquationsA2.1 Basic Facts; A2.2 Stability; A2.3 Bifurcations; Appendix 3. Partial Differential Equations; A3.1 First-Order Linear Equations; A3.2 Reaction-Diffusion Equations; A3.3 Turing Bifurcation; Appendix 4. Riemannian Geometry; A4.1 Local Riemannian Geometry; A4.2 Shahshahani's Metric; References; Index
,
English
Additional Edition:
ISBN 0-12-249103-3
Language:
English
