On the solvability of a class of nonlinear integral equations in the problem of a spread of an epidemic

This paper is devoted to the investigation of solvability and asymptotic properties of solutions for some classes of nonlinear multidimensional integral equations. These equations have a direct application in the theory of the geographical spread of an epidemic. Constructive theorems of the existence of monotonous and bounded solutions are proved and qualitative properties of solutions are studied. Concrete examples of equations of the considered type, arising in real biological processes, are given.