An investigation on the Lasota-Wazewska model with a piecewise constant argument
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.5, ss.1500-1508, 2021 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 5
- Basım Tarihi: 2021
- Doi Numarası: 10.15672/hujms.766819
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1500-1508
- Anahtar Kelimeler: Lasota-Wazewska model, piecewise constant argument, asymptotic stability, oscillation, GLOBAL ASYMPTOTIC STABILITY, POSITIVE PERIODIC-SOLUTION, POPULATION-MODEL, DIFFERENTIAL-EQUATIONS, LOGISTIC EQUATION, ATTRACTIVITY, DELAY
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
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.