3 papers
q-bio.PE2018
fails to predict the outbreak potential in the presence of natural-boosting immunity
Yukihiko Nakata, Ryosuke Omori
Time varying susceptibility of host at individual level due to waning and boosting immunity is known to induce rich long-term behavior of disease transmission dynamics. Meanwhile,…
math.DS2018
A periodic solution of period two of a delay differential equation
Yukihiko Nakata
In this paper we prove that the following delay differential equation \[ \frac{d}{dt}x(t)=rx(t)\left(1-\int_{0}^{1}x(t-s)ds\right), \] has a periodic solution of period two for $r>…
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…