An impulsive ratio-dependent predator-prey system with diffusion


Akhmet M. U. , Beklioglu M. , Ergenc T., Tkachenko V. I.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, cilt.7, ss.1255-1267, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 7 Konu: 5
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.nonrwa.2005.11.007
  • Dergi Adı: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
  • Sayfa Sayıları: ss.1255-1267

Özet

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. (c) 2005 Elsevier Ltd. All rights reserved.