On Impulsive Lotka–Volterra Systems with Diffusion

• Date: 2002
• Main Authors: Struk, O. O., Tkachenko, V. I., Струк, О. О., Ткаченко, В. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4089
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a two-dimensional Lotka–Volterra system with diffusion and impulse action at fixed moments of time. We establish conditions for the permanence of the system. In the case where the coefficients of the system are periodic in t and independent of the space variable x, we obtain conditions for...