دورية أكاديمية
Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
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 |
تدمد: | 15510018 |
---|---|
DOI: | 10.3934/mbe.2021437?viewType=HTML |