Mathematical Biology.
Murray, James D.
Mathematical Biology. - 2nd ed. - 1 online resource (783 pages) - Biomathematics Series ; v.19 . - Biomathematics Series .
Biomathematics Texts Mathematical Biology Corrected Second, Corrected Edition -- Biomathematics Volume 19 -- Mathematical Biology Second, Corrected Edition -- Copyright -- Preface to the First Edition -- Table of Contents -- 1. Continuous Population Models for Single Species -- 2. Discrete Population Models for a Single Species -- 3. Continuous Models for Interacting Populations -- 4. Discrete Growth Models for Interacting Populations -- 5. Reaction Kinetics -- 6. Biological Oscillators and Switches -- 7. Belousov-Zhabotinskii Reaction -- 8. Perturbed and Coupled Oscillators and Black Holes -- 9. Reaction Diffusion, Chemotaxis and Non-local Mechanisms -- 10. Oscillator Generated Wave Phenomena and Central Pattern Generators -- 11. Biological Waves: Single Species Models -- 12. Biological Waves: Multi-Species Reaction Diffusion Models -- *13. Travelling Waves in Reaction Diffusion Systems with Weak Diffusion: Analytical Techniques and Results -- 14. Spatial Pattern Formation with Reaction/Population Interaction Diffusion Mechanisms -- 15. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms -- 16. Neural Models of Pattern Formation -- 17. Mechanical Models for Generating Pattern and Form in Development -- 18. Evolution and Developmental Programmes -- 19. Epidemic Models and the Dynamics of Infectious Diseases -- 20. Geographic Spread of Epidemics -- Appendix 1 Phase Plane Analysis -- Appendix 2 Routh-Hurwitz Conditions, Jury Conditions, Descartes' Rule of Signs and Exact Solutions of a Cubic -- *Appendix 3 Hopf Bifurcation Theorem and Limit Cycles -- Appendix 4 General Results for the Laplacian Operator in Bounded Domains -- Bibliography -- Index.
9783662085424
Biology--Mathematical models.
Electronic books.
QH323.5
Mathematical Biology. - 2nd ed. - 1 online resource (783 pages) - Biomathematics Series ; v.19 . - Biomathematics Series .
Biomathematics Texts Mathematical Biology Corrected Second, Corrected Edition -- Biomathematics Volume 19 -- Mathematical Biology Second, Corrected Edition -- Copyright -- Preface to the First Edition -- Table of Contents -- 1. Continuous Population Models for Single Species -- 2. Discrete Population Models for a Single Species -- 3. Continuous Models for Interacting Populations -- 4. Discrete Growth Models for Interacting Populations -- 5. Reaction Kinetics -- 6. Biological Oscillators and Switches -- 7. Belousov-Zhabotinskii Reaction -- 8. Perturbed and Coupled Oscillators and Black Holes -- 9. Reaction Diffusion, Chemotaxis and Non-local Mechanisms -- 10. Oscillator Generated Wave Phenomena and Central Pattern Generators -- 11. Biological Waves: Single Species Models -- 12. Biological Waves: Multi-Species Reaction Diffusion Models -- *13. Travelling Waves in Reaction Diffusion Systems with Weak Diffusion: Analytical Techniques and Results -- 14. Spatial Pattern Formation with Reaction/Population Interaction Diffusion Mechanisms -- 15. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms -- 16. Neural Models of Pattern Formation -- 17. Mechanical Models for Generating Pattern and Form in Development -- 18. Evolution and Developmental Programmes -- 19. Epidemic Models and the Dynamics of Infectious Diseases -- 20. Geographic Spread of Epidemics -- Appendix 1 Phase Plane Analysis -- Appendix 2 Routh-Hurwitz Conditions, Jury Conditions, Descartes' Rule of Signs and Exact Solutions of a Cubic -- *Appendix 3 Hopf Bifurcation Theorem and Limit Cycles -- Appendix 4 General Results for the Laplacian Operator in Bounded Domains -- Bibliography -- Index.
9783662085424
Biology--Mathematical models.
Electronic books.
QH323.5