Global behaviour of a discrete haematopoiesis model
The authors consider the difference equation \[ \Delta y_n=-\alpha y_n+\frac{\beta y_{n-k}}{1+y_{n-k}^p},n=1,2,\ldots , \] and obtain some sufficient conditions for global asymptotic stability and oscillation of solutions of this equation, where \(\alpha \in (0,1),\beta \in (\alpha ,\infty ),p\in (1,\infty )\), \(k\) is a nonnegative integer.
scientific article; zbMATH DE number 2141206