@article{Pelen_2021, title={On the dynamics of the impulsive predator-prey systems with Beddington – DeAngelis type functional response}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/619}, DOI={10.37863/umzh.v73i4.619}, abstractNote={<p>UDC 517.9</p> <p>In this study, the two-dimensional predator-prey system with Beddington–DeAngelis type functional response with impulses is considered in a periodic environment. <br>For this special case, necessary and sufficient conditions are found for the considered system when it has at least one $w$-periodic solution. <br>This result is mainly based on the continuation theorem in the coincidence degree theory and to get the globally attractive $w$-periodic solution of the given system, an inequality is given as the necessary and sufficient condition by using the analytic structure of the system.</p> <p>&nbsp;</p&gt;}, number={4}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Pelen , N. N.}, year={2021}, month={Apr.}, pages={523 - 543} }