Mathematical Modeling I - preliminary
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740302486
Table of contents: title: Introduction; title: Discrete-time models; title: Motivation; title: An example – bacterial reproduction; title: Solution and equilibrium of a discrete model; title: Cobwebbing; title: General theory and analytical methods; title: Optimization of discrete models; title: Continuous-time models; title: Motivation and derivation of continuous models; title: Differential equation models; title: Separation of variables; title: Linear equations; title: Optimization of continuous models; title: Sensitivity analysis; title: Systems of difference equations (discrete); title: Analytical methods; title: Some examples; title: Systems of differential equations (continuous); title: Some motivation examples; title: Nondimensionalization; title: Analytical methods; title: Higher dimensional systems; title: Bifurcation analysis; title: Saddle-node bifurcation; title: Transcritical bifurcation; title: Pitchfork bifurcation; title: Generic saddle-node bifurcation; title: Saddle-node, transcritical, and pitchfork bifurcations in two-dimensional systems; title: Introduction of Hopf bifurcations; title: Normal form of Hopf bifurcation; title: Generic Hopf bifurcation; title: Matlab programming; title: Data fitting