Stability analysis of a predator-prey model with piecewise constant argument of generalized type using Lyapunov functions

• Published in: Нелінійні коливання
• Date: 2013
• ISSN: 1562-3076
• Main Authors: Aruğaslan, D., Özer, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177165
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stability analysis of a predator-prey model with piecewise constant argument of generalized type using Lyapunov functions / D. Aruğaslan, A. Özer // Нелінійні коливання. — 2013. — Т. 16, № 4. — С. 452-459. — Бібліогр.: 26 назв. — англ.

In this study, we consider a Lotka – Volterra type predator-prey model with piecewise constant arguments of generalized type and investigate the stability of the positive equilibrium point of the proposed model. Although the model includes piecewise constant delays, we do not use Lyapunov functional...