Article citationsMore>>

Arancibia-Ibarra, C. and Flores, J. (2021) Dynamics of a Leslie-Gower Predator-Prey Model with Holling Type II Functional Response, Allee Effect and a Generalist Predator. Mathematics and Computers in Simulation, 188, 1-22.
https://doi.org/10.1016/j.matcom.2021.03.035

has been cited by the following article:

• TITLE: Dynamics Analysis of an Aquatic Ecological Model with Allee Effect

  AUTHORS: Lingzhen Zheng, Jueyuan Yan, Hengguo Yu

  KEYWORDS: Algae, Protozoa, Allee Effect, Bifurcation, Relationship

  JOURNAL NAME: Applied Mathematics, Vol.13 No.10, October 28, 2022

  ABSTRACT: In this paper, based on the dynamic relationship between algae and protozoa, an aquatic ecological model with Allee effect was established to investigate how some ecological environment factors affect coexistence mode of algae and protozoa. Mathematical derivation works mainly gave some key conditions to ensure the existence and stability of all possible equilibrium points, and to induce the occurrence of transcritical bifurcation and Hopf bifurcation. The numerical simulation works mainly revealed ecological relationship change characteristics of algae and protozoa with the help of bifurcation dynamics evolution process. Furthermore, it was also worth emphasizing that Allee effect had a strong influence on the dynamic relationship between algae and protozoa. In a word, it was hoped that the research results could provide some theoretical support for algal bloom control, and also be conducive to the rapid development of aquatic ecological models.