TITLE:
Dynamic Analysis of an Algae-Fish Harvested Model with Allee Effect
AUTHORS:
Xiaoyu Song, Hengguo Yu, Min Zhao
KEYWORDS:
Algae and Fish Model, Allee Effect, Harvesting, Equilibrium Point, Bifurcation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.10,
October
25,
2023
ABSTRACT: In this paper, an algae-fish harvested model with Allee effect was established to further explore the dynamic evolution mechanism under the influence of key factors. Mathematical theoretical work not only investigated the existence and stability of all possible equilibrium points, but also probed into the occurrence of transcritical and Hopf bifurcation. The numerical simulation works verified the effectiveness of the theoretical derivation results and displayed rich bifurcation dynamical behaviors, which showed that Allee effect and harvest have played a vital role in the dynamic relationship between algae and fish. In summary, it was expected that these research results would be beneficial for promoting the study of bifurcation dynamics in aquatic ecosystems.