On a convex combination of Lotka–Volterra operators
We consider a convex combination of two classes of Lotka–Volterra operators defined on 2-dimensional simplex. Earlier, the dynamics of a particular case of the considered operators has been investigated. However, its bijective property was not studied. In this paper, we are able to establish that su...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Elsevier B.V.
2024
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/111714/7/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators.pdf http://irep.iium.edu.my/111714/8/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators_Scopus.pdf http://irep.iium.edu.my/111714/ https://www.sciencedirect.com/science/article/pii/S2666657X23000356 |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English |
| Summary: | We consider a convex combination of two classes of Lotka–Volterra operators defined on 2-dimensional simplex. Earlier, the dynamics of a particular case of the considered operators has been investigated. However, its bijective property was not studied. In this paper, we are able to establish that such maps are homeomorphism of the simplex. |
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