Oscillatory dynamics in a discrete predator-prey model with distributed delays

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. A...

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Detalles Bibliográficos
Autores principales: Xu, Changjin, Chen, Lilin, Li, Peiluan, Guo, Ying
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6306177/
https://www.ncbi.nlm.nih.gov/pubmed/30586403
http://dx.doi.org/10.1371/journal.pone.0208322
Descripción
Sumario: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.