TY - JOUR
T1 - Periodic solutions for a class of epidemic equations
AU - Smith, Hal
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1978/6/15
Y1 - 1978/6/15
N2 - Periodic solutions for a class of delay integral equations modeling epidemics are shown to bifurcate from the identically zero solution when a certain parameter exceeds a threshold. The equations are a special case of a general model proposed by Hoppensteadt and Waltman [3]. A global bifurcation theorem of Roger Nussbaum [5] is the main tool.
AB - Periodic solutions for a class of delay integral equations modeling epidemics are shown to bifurcate from the identically zero solution when a certain parameter exceeds a threshold. The equations are a special case of a general model proposed by Hoppensteadt and Waltman [3]. A global bifurcation theorem of Roger Nussbaum [5] is the main tool.
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U2 - 10.1016/0022-247X(78)90055-0
DO - 10.1016/0022-247X(78)90055-0
M3 - Article
AN - SCOPUS:42249096571
SN - 0022-247X
VL - 64
SP - 467
EP - 479
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -