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Hou, Zhanyuan (2022) Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps. Proceedings of ICDEA 2021. (In Press)
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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: | Article |
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| 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: | 22 Sep 2022 09:02 |
| URI: | https://repository.londonmet.ac.uk/id/eprint/7928 |
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