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- Title
On the Dynamics of Impulsive Predator-Prey Systems with Beddington–Deangelis-Type Functional Response.
- Authors
Pelen, N. N.
- Abstract
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.
- Subjects
PREDATION; CONTINUATION methods
- Publication
Ukrainian Mathematical Journal, 2021, Vol 73, Issue 4, p610
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-021-01947-6