Open AccessOn the dynamics of the impulsive predator-prey systems with Beddington – DeAngelis type functional response
Author(s) -
Neslihan Nesliye Pelen
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i4.619
Subject(s) - functional response , mathematics , coincidence , type (biology) , comparison theorem , predation , continuation , dynamics (music) , control theory (sociology) , predator , mathematical analysis , computer science , ecology , physics , artificial intelligence , acoustics , medicine , alternative medicine , control (management) , pathology , biology , programming language
UDC 517.9In this study, the two-dimensional predator-prey system with Beddington–DeAngelis type functional response with impulses is considered in a periodic environment. For this special case, necessary and sufficient conditions are found for the considered system when it has at least one -periodic solution. This result is mainly based on the continuation theorem in the coincidence degree theory and to get the globally attractive -periodic solution of the given system, an inequality is given as the necessary and sufficient condition by using the analytic structure of the system.