Asymptotically periodic solutions to Volterra integral equations in epidemic models
The author studies the equation \[ x(t)=f(t)+\int^{t}_{0}a(s)P(t- s)g(x(s))ds \] which arises in models for SIS epidemics and he proves some results saying that if either f or a are periodic functions, then the solution x is asymptotically periodic. These results are applied to several models used in describing epidemics of gonorrhea and some numerical results are also given.
scalar nonlinear Volterra integral equation
scientific article; zbMATH DE number 3948068