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math.DS2017
Unbounded and blow-up solutions for a delay logistic equation with positive feedback
István Győri, Yukihiko Nakata, Gergely Röst
We study bounded, unbounded and blow-up solutions of a delay logistic equation without assuming the dominance of the instantaneous feedback. It is shown that there can exist an exp…
math.DS2017
Global stability of an SIS epidemic model with a finite infectious period
Yukihiko Nakata, Gergely Rost
Assuming a general distribution for the sojourn time in the in- fectious class, we consider an SIS type epidemic model formulated as a scalar integral equation. We prove that the e…