Mathematical biology 1: an introduction/
Murray, James D.
Mathematical biology 1: an introduction/ James D. Murray - 3rd ed. - London: Springer, 2002. - xiii, 551 p. : ill. ; 24 cm. - (Interdisciplinary applied mathematics), v. 17 .
Continuous population models for single species --
Discrete population models for a single species --
Continuous models for interacting populations --
Discrete growth models for interacting populations --
Reaction kinetics --
Biological oscillators and switches --
Belousov-Zhabotinskii reaction --
Perturbed and coupled oscillators and black holes --
Reaction diffusion, chemotaxis and non-local mechanisms --
Oscillator generated wave phenomena and central pattern generators --
Biological waves: single species model --
Biological waves: multi-species reaction diffusion models --
Travelling waves in reaction diffusion systems with weak diffusion: analytical techniques and results --
Spatial pattern formation with reaction/population interaction diffusion mechanisms --
Animal coat patterns and other practical applications of reaction diffusion mechanisms --
Neural models of pattern formation --
Mechanical models for generating pattern and form in development --
Evolution and developmental programmes --
Epidemic models and the dynamics of infectious diseases --
Geographic spread of epidemics --
Appendix 1. Phase plane analysis --
Appendix 2. Routh-Hurwitz conditions, jury conditions, Descarte's 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.
9781475777093
Biology--Mathematical models
Biomathematics
Biomedical engineering
570.15118 / MUR/M
Mathematical biology 1: an introduction/ James D. Murray - 3rd ed. - London: Springer, 2002. - xiii, 551 p. : ill. ; 24 cm. - (Interdisciplinary applied mathematics), v. 17 .
Continuous population models for single species --
Discrete population models for a single species --
Continuous models for interacting populations --
Discrete growth models for interacting populations --
Reaction kinetics --
Biological oscillators and switches --
Belousov-Zhabotinskii reaction --
Perturbed and coupled oscillators and black holes --
Reaction diffusion, chemotaxis and non-local mechanisms --
Oscillator generated wave phenomena and central pattern generators --
Biological waves: single species model --
Biological waves: multi-species reaction diffusion models --
Travelling waves in reaction diffusion systems with weak diffusion: analytical techniques and results --
Spatial pattern formation with reaction/population interaction diffusion mechanisms --
Animal coat patterns and other practical applications of reaction diffusion mechanisms --
Neural models of pattern formation --
Mechanical models for generating pattern and form in development --
Evolution and developmental programmes --
Epidemic models and the dynamics of infectious diseases --
Geographic spread of epidemics --
Appendix 1. Phase plane analysis --
Appendix 2. Routh-Hurwitz conditions, jury conditions, Descarte's 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.
9781475777093
Biology--Mathematical models
Biomathematics
Biomedical engineering
570.15118 / MUR/M