On the Dynamics of Impulsive Predator-Prey Systems with Beddington-Deangelis-Type Functional Response
UKRAINIAN MATHEMATICAL JOURNAL, cilt.73, sa.4, ss.610-634, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 73 Sayı: 4
- Basım Tarihi: 2021
- Doi Numarası: 10.1007/s11253-021-01947-6
- Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.610-634
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
We study a two-dimensional predator-prey system with Beddington-DeAngelis-type functional response with pulses in a periodic environment. In the analyzed special case, we establish necessary and sufficient conditions for the considered system to have at least one w-periodic solution. This result is mainly based on the continuation theorem from the coincidence-degree theory. Moreover, in order to find the globally attractive w-periodic solution of the system, by using the analytic structure of the given system, we deduce an inequality playing the role of both necessary and sufficient condition.