On Impulsive Lotka–Volterra Systems with Diffusion
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 the existence and uniqueness of periodic solutions of the system.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 4, pp 629-646.
Citation Example: Struk O. O., Tkachenko V. I. On Impulsive Lotka–Volterra Systems with Diffusion // Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 514-526.