AN INTEGRAL EQUATION ARISING FROM INFECTIOUS DISEASES, VIA PICARD OPERATOR

In this paper we use the Picard operators technique to study the following integral equation arising from infectious diseases x(t) = Z t t f(s,x(s))ds, t 2 R, regarding the existence and uniqueness of the solutions and periodic so- lutions, lower and upper subsolutions of the integral equation, the data dependence of the solution, the dierentiability of the solutions with re- spect to a parameter. of the solution.