Mathematical modeling for the life sciences/
Jacques Istas
- New York: Springer, 2005.
- vi, 164 p. : ill. ; 24 cm.
1. General introduction -- 2. Continuous-time dynamical systems -- Introduction -- Historical demographical models -- Pest control: the spruce budworm -- Interactions in biological systems -- Reaction-diffusion equations -- 3. Discrete-time dynamical systems -- Introduction -- Delay models -- Discrete logistic model -- Tribolium dynamics -- 4. Game theory and evolution -- Introduction -- Games, strategies and equilibria -- Hawks and doves -- 5. Markov chains and diffusions -- Introduction -- Definitions and first properties -- Subset classification -- Genetical drift -- Invariant measure -- Continuous-time -- The domestication of pearl millet -- 6. Random arborescent models -- Introduction -- Temporal branching processes -- Polymerase chain reaction -- Percolation -- Spatial branching processes -- The colonization of Europe by oaks -- 7. Statistics -- Introduction -- Maximum likelihood estimate -- Localization of QTL -- Asymptotical study of the likelihood -- The weevil life.