Global attractivity of \(x_{n+1} = (1-\alpha) x_{n}+\beta e^{-\gamma} x_{n-k}\). (English) Zbl 1068.92026
Summary: This paper deals with a haematopoiesis model. We establish sufficient conditions for the global attractivity of the positive equilibrium of this model. The results obtained greatly improve some known results in the literature.
MSC:
| 92C50 | Medical applications (general) |
| 39A11 | Stability of difference equations (MSC2000) |
| 92C30 | Physiology (general) |
| 37N25 | Dynamical systems in biology |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
Keywords:
Global attractivity; Positive equilibrium; Limiting method; Difference equations; Delay differential equationReferences:
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