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 |