On the dynamics of the impulsive predator-prey systems with Beddington – DeAngelis type functional response
UDC 517.9 In 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 $w$-peri...
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| Date: | 2021 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/619 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.9
In 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 $w$-periodic solution. 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.
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| DOI: | 10.37863/umzh.v73i4.619 |