000 a
999 _c209010
_d209010
020 _a9781475777093
040 _cCUS
082 _a570.15118
_bMUR/M
100 _aMurray, James D.
245 _aMathematical biology 1: an introduction/
_cJames D. Murray
250 _a3rd ed.
260 _bSpringer,
_aLondon:
_c2002.
300 _axiii, 551 p. :
_bill. ;
_c24 cm.
440 _a(Interdisciplinary applied mathematics),
_vv. 17
505 _aContinuous 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.
650 _aBiology--Mathematical models
650 _aBiomathematics
650 _aBiomedical engineering
942 _cWB16