Open AccessOscillatory dynamics in a discrete predator-prey model with distributed delays
Author(s) -
Changjin Xu,
Lilin Chen,
Peiluan Li,
Ying Guo
Publication year - 2018
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0208322
Subject(s) - correctness , coincidence , lyapunov function , predation , exponential stability , stability (learning theory) , dynamics (music) , mathematics , control theory (sociology) , function (biology) , predator , functional response , work (physics) , computer science , statistical physics , ecology , physics , biology , algorithm , evolutionary biology , control (management) , artificial intelligence , nonlinear system , alternative medicine , pathology , machine learning , thermodynamics , acoustics , quantum mechanics , medicine
This work aims to discuss a predator-prey system with distributed delay. Various conditions are presented to ensure the existence and global asymptotic stability of positive periodic solution of the involved model. The method is based on coincidence degree theory and the idea of Lyapunov function. At last, simulation results are presented to show the correctness of theoretical findings.