Open AccessA note of a predator-prey model with additive allee effect and feedback controls
Author(s) -
Huailan Ren
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1453/1/012031
Subject(s) - allee effect , uniqueness , mathematics , lyapunov function , control theory (sociology) , functional response , persistence (discontinuity) , predation , predator , computer science , mathematical analysis , ecology , control (management) , nonlinear system , population , physics , biology , demography , geotechnical engineering , quantum mechanics , artificial intelligence , sociology , engineering
This study focuses on the investigation of a predator-prey model with additive allee effect and feedback controls. First, we get sufficient conditions of system persistence. Second, the conditions for the existence of the systems global attractivity areestablished by constructing suitable Lyapunov functions. Additionally, by applying the fixed point theory and some new analysis and calculation methods, we obtain the existence and uniqueness of the positive periodic solution of the system. Eventually, we validate the theoretical results by numerical simulations.