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Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect

التفاصيل البيبلوغرافية
العنوان: Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
المؤلفون: Huanyi Liu, Hengguo Yu, Chuanjun Dai, Zengling Ma, Qi Wang, Min Zhao
المصدر: Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8857-8882 (2021)
بيانات النشر: AIMS Press, 2021.
سنة النشر: 2021
المجموعة: LCC:Biotechnology
LCC:Mathematics
مصطلحات موضوعية: amensalism model, allee effect, harvest, transcritical bifurcation, saddle-node bifurcation, Biotechnology, TP248.13-248.65, Mathematics, QA1-939
الوصف: In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium points, and derived some threshold conditions for saddle-node bifurcation and transcritical bifurcation. Numerical simulation works mainly revealed that non-selective harvesting played an important role in amensalism dynamic relationship. Meanwhile, we proposed some biological explanations for transcritical bifurcation and saddle-node bifurcation from the aspect of algicidal bacteria controlling algae. Finally, all these results were expected to be useful in studying dynamical behaviors of aquatic amensalism ecosystems and biological algae controlling technology.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1551-0018
Relation: https://doaj.org/toc/1551-0018
DOI: 10.3934/mbe.2021437?viewType=HTML
DOI: 10.3934/mbe.2021437
URL الوصول: https://doaj.org/article/f1111c9db6464fd5b8abd1d4f465a8b7
رقم الأكسشن: edsdoj.f1111c9db6464fd5b8abd1d4f465a8b7
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:15510018
DOI:10.3934/mbe.2021437?viewType=HTML