Asymptotic stability of a modified Lotka-Volterra model with small immigrations

Abstract Predator-prey systems have been studied intensively for over a hundred years. These studies have demonstrated that the dynamics of Lotka-Volterra (LV) systems are not stable, that is, exhibiting either cyclic oscillation or divergent extinction of one species. Stochastic versions of the det...

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Bibliographic Details
Main Authors: Takeru Tahara, Maica Krizna Areja Gavina, Takenori Kawano, Jerrold M. Tubay, Jomar F. Rabajante, Hiromu Ito, Satoru Morita, Genki Ichinose, Takuya Okabe, Tatsuya Togashi, Kei-ichi Tainaka, Akira Shimizu, Takashi Nagatani, Jin Yoshimura
Format: Article
Language:English
Published: Nature Portfolio 2018-05-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-018-25436-2