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Oscillations and global attractivity in delay differential equations of population dynamics. (English) Zbl 0848.92018
Summary: The oscillatory and asymptotic behavior of all positive solutions of $$x'(t) = \beta_0 \theta^n/(\theta^n + x^n (t - \tau)) - \gamma x(t)$$ about the positive steady state $x^*$ are studied, where $x(t)$ denotes the density of mature cells in blood circulation, $\tau$ is the time delay between the production of immature cells in the bone marrow, and $\beta_0$, $\theta^n$, $\gamma$ are positive constants.

MSC:
92D25Population dynamics (general)
34K25Asymptotic theory of functional-differential equations
34K11Oscillation theory of functional-differential equations
92C30Physiology (general)
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References:
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