Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system (Q1925462)
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scientific article; zbMATH DE number 6116476
| Language | Label | Description | Also known as |
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| English | Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system |
scientific article; zbMATH DE number 6116476 |
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Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system (English)
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18 December 2012
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Summary: This paper gives an application of Mawhin's coincidence degree and matrix spectral theory to a predator-prey model with \(M\) predators and \(N\) preys. Some sufficient conditions are obtained for the existence and global asymptotic stability of a periodic solution. The existence and stability conditions are given in terms of spectral radius of explicit matrices. Finally, an example is given to show the feasibility of our results.
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