Open AccessDynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
Author(s) -
Huanyi Liu,
Hengguo Yu,
Chuanjun Dai,
Zengling Ma,
Qi Wang,
Min Zhao
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021437
Subject(s) - allee effect , bifurcation , biological system , saddle node bifurcation , algae , hopf bifurcation , transcritical bifurcation , mathematics , control theory (sociology) , ecology , biology , computer science , physics , artificial intelligence , nonlinear system , population , control (management) , demography , quantum mechanics , sociology
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.