Skip to Main Content The difference equation x(l)=Σs=l-Tl-1 F(s,
x(s)) is used to model the spread of infectious disease. Here,
x(l) represents the proportion of the population infected at
time l, F(l,x(l)) denotes the proportion of the population newly
infected between times l and (l+1), and T is the length of time
an individual remains Infectious. Criteria will be established
for the existence of a nontrivial and nonnegative periodic
solution for the difference equation. The results are easy to
implement numerically, and only require basic information of the
Contact rate q(l)=limx→0 (F(l,x)/x). An algorithm and some
illustrative examples will be given. Control, Automation,
Robotics and Vision, 2002. ICARCV 2002. 7th International
Conference on (Volume:3 ) Date of Conference: 2-5 Dec. 2002