An impulsive ratio-dependent predator-prey system with diffusion

Akhmet, MARAT; Beklioglu, MERYEM; Ergenc, T.; Tkachenko, V.

doi:10.1016/j.nonrwa.2005.11.007

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, sa.5, ss.1255-1267, 2006 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 7 Sayı: 5
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.nonrwa.2005.11.007
Dergi Adı: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1255-1267
Anahtar Kelimeler: predator-prey system with diffusion, functional response, permanence, periodic solutions, stability, QUALITATIVE-ANALYSIS, GLOBAL DYNAMICS, PERTURBATIONS, STABILITY, EQUATIONS
Orta Doğu Teknik Üniversitesi Adresli: Evet

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.