An impulsive ratio-dependent predator-prey system with diffusion

Akhmet, Marat
Beklioğlu, Meryem
Ergenc, T.
Tkachenko, V. I.
We investigate the predator-prey system with diffusion, when biological and environmental parameters are assumed to change in periodical manner over time. The system is affected by impulses which can be considered as a control. Conditions for the permanence of the predator-prey system and for the existence of a unique globally stable periodic solutions are obtained.