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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 4, pp. 523–543, April, 2021. Ukrainian DOI: 10.37863/umzh.v73i4.619.
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Pelen, N.N. On the Dynamics of Impulsive Predator-Prey Systems with Beddington–Deangelis-Type Functional Response. Ukr Math J 73, 610–634 (2021). https://doi.org/10.1007/s11253-021-01947-6
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DOI: https://doi.org/10.1007/s11253-021-01947-6