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- W4288092305 abstract "In this paper we study, at different levels of generality, certain systems of delay differential equations (DDE). One focus and motivation is a system with state-dependent delay (SD-DDE) that has been formulated to describe the maturation of stem cells. We refer to this system as the cell SD-DDE. In the cell SD-DDE, the delay is implicitly defined by a threshold condition. The latter is specified by the time at which the (also implicitly defined) solution of an external nonlinear ordinary differential equation (ODE), which is parametrised by a component of the SD-DDE, meets a given threshold value. We focus on the dynamical properties global asymptotic stability (GAS) of the zero equilibrium, persistence and dissipativity/ultimate boundedness." @default.
- W4288092305 created "2022-07-28" @default.
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- W4288092305 date "2019-10-15" @default.
- W4288092305 modified "2023-09-30" @default.
- W4288092305 title "Global extinction, dissipativity and persistence for a certain class of differential equations with state-dependent delay" @default.
- W4288092305 doi "https://doi.org/10.48550/arxiv.1910.06598" @default.
- W4288092305 hasPublicationYear "2019" @default.
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