An investigation on the Lasota-Wazewska model with a piecewise constant argument

Abstract

This paper is devoted to investigating the asymptotic stability of the equilibrium point of the Lasota-Wazewska model with a piecewise constant argument and it is proved that this point is an attractor. It is also shown that every oscillatory solution of the corresponding difference equation has semi-cycles of length at least two.

Keywords

• Lasota-Wazewska model,
• piecewise constant argument
• asymptotic stability
• oscillation

References

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