Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps

Hou, Zhanyuan (2023) Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps. In: 26th ICDEA: Advances in Discrete Dynamical Systems, Difference Equations and Applications, 26-30 July 2021, Sarajevo, Bosnia and Herzegovina.

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Abstract / Description

There is a recent development in the carrying simplex theory for competitive maps: under some weaker conditions a map has a modified carrying simplex (one of the author's latest publications). In this paper, as one of the applications of the modified carrying simplex theory, a criterion is established for a three dimensional Kolmogorov map to have a globally repelling (attracting) heteroclinic limit cycle. As a concrete example, a discrete competitive model is investigated to illustrate the above criteria for global repulsion (attraction) of a hetericlinic limit cycle.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: competitive maps; carrying simplex; heteroclinic limit cycle; global attraction and repulsion
Subjects: 500 Natural Sciences and Mathematics > 510 Mathematics
500 Natural Sciences and Mathematics > 570 Life sciences; biology
Department: School of Computing and Digital Media
Depositing User: Zhanyuan Hou
Date Deposited: 22 Sep 2022 09:02
Last Modified: 09 Oct 2023 11:10
URI: https://repository.londonmet.ac.uk/id/eprint/7928

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