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

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SEYHAN ÖZTEPE G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.50, no.5, pp.1500-1508, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 5
  • Publication Date: 2021
  • Doi Number: 10.15672/hujms.766819
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1500-1508
  • Keywords: Lasota-Wazewska model, piecewise constant argument, asymptotic stability, oscillation, GLOBAL ASYMPTOTIC STABILITY, POSITIVE PERIODIC-SOLUTION, POPULATION-MODEL, DIFFERENTIAL-EQUATIONS, LOGISTIC EQUATION, ATTRACTIVITY, DELAY
  • Ankara University Affiliated: Yes

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.