Journal of Mathematical Analysis.pdf
This equation arises in the study of the spread of an infectious disease that does not induce permanent immunity. For detailed meanings of the various functions arising in (1.1), see [5] and also [1,3,4,6], for more results, see [2,7–10,13] and the references therein. In [5], the author studied the existence of a unique bounded continuous and nonnegative solution of (1.1) for t ∈ R+ under appropriate assumptions on A and B, and also obtained sufficient conditions for the convergence of the solution to a limit when t → ∞.

This equation arises in the study of the spread of an infectious disease that does not induce permanent immunity. For
detailed meanings of the various functions arising in (1.1), see [5] and also [1,3,4,6], for more results, see [2,7–10,13] and
the references therein. In [5], the author studied the existence of a unique bounded continuous and nonnegative solution
of (1.1) for t ∈ R+ under appropriate assumptions on A and B, and also obtained sufficient conditions for the convergence
of the solution to a limit when t → ∞.
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