Open AccessGlobal asympototic stability of predator-prey systems with stage structure and nonlinear birth rate
Author(s) -
Xinyu Huang,
Qin Yue
Publication year - 2019
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 - 10.1088/1742-6596/1325/1/012034
Subject(s) - nonlinear system , lyapunov function , mathematics , predation , stability theory , stability (learning theory) , comparison theorem , predator , control theory (sociology) , exponential stability , stage (stratigraphy) , differential equation , mathematical analysis , ecology , computer science , biology , physics , artificial intelligence , control (management) , paleontology , quantum mechanics , machine learning
A predator-prey model with nonlinear birth rate and stage structure on prey species is revisited in this paper. By using the comparison theorem of differential equation and constructing some suitable Lyapunov function, we are able to show that the conditions which ensure the locally asymptotically stable of the equilibria is enough to ensure its globally asymptotically stable. Finally, the obtained results have substantially improved and extended the corresponding results of predecessors.