Math 5110/6830: Homeworks
The references in parentheses are to these books , using notations from that list.

August 24: Introduction (EG: preface and ch1; dV: ch1)
Foot and mouth example: Ferguson et al. (2001) Science, Nature; Keeling et al. (2001) Science

August 29, 31: Linear discrete-time models (EK: ch1)

September 5,7: Nonlinear scalar discrete-time models (dV: 2.1,2.2; EK: 2.1-2.6; St: ch10 (with more on chaos))
Data source: Gause. The struggle for existence. Dover, New York, 2003

September 12,14: Systems of non-linear discrete-time equations (dV: 2.3; EK: 2.7-2.9, 3.3-3.4)
September 19:...

September 21,26: Computer class: hw0, solving discrete systems, cob-webbing, playing with Romeo-Juiliet model (phase planes, etc).

September 28: Review, invcluding review problems

October 3: Midterm

October 10,12: Intro to continuous models: x'=sin x, N'=rN, N'=rN(1-K/N). Analytical (sep. of variables) and Geometric solutions, vector field, phase space, phase flow, trajectory, stability (linearization), characteristic time scale, existence and uniqueness (St ch.1, dV)

October 31: Sections 1 and 3 from Book chapter from: Methods and Models in Neurophysics, Les Houches Summer School, Session LXXX, C. Chow, B. Gutkin, D. Hansel and C. Meunier (eds). Elsevier, 2004