TY - JOUR
T1 - Nearly one dimensional dynamics in an epidemic
AU - Schaffer, William M.
AU - Kot, Mark
N1 - Funding Information:
Steve Ellner, Bob May and Harry Swinney were sources of good ideas and helpful commentary. Itamar Proccacia pointed out an error in a previous version of the paper. This work was supported by the University of Arizona. Most of the computations, including graphics, were performed on a TRS-80 Model II microcomputer. We thank the Tandy Corporation for manufacturing so fine a machine. WMS thanks his wife for tolerating its presence in their home.
PY - 1985/1/21
Y1 - 1985/1/21
N2 - The incidence of measles in New York City and Baltimore was studied using recently developed techniques in nonlinear dynamics. The data, monthly case reports for the years 1928-1963, suggest almost two dimensional, chaotic flows whose essential attributes are captured by one dimensional, unimodal maps. The effects of noise, inevitable in ecological and epidemiological systems are discussed.
AB - The incidence of measles in New York City and Baltimore was studied using recently developed techniques in nonlinear dynamics. The data, monthly case reports for the years 1928-1963, suggest almost two dimensional, chaotic flows whose essential attributes are captured by one dimensional, unimodal maps. The effects of noise, inevitable in ecological and epidemiological systems are discussed.
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U2 - 10.1016/S0022-5193(85)80294-0
DO - 10.1016/S0022-5193(85)80294-0
M3 - Article
C2 - 3982045
AN - SCOPUS:0021912738
SN - 0022-5193
VL - 112
SP - 403
EP - 427
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
IS - 2
ER -