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Global stability for mixed monotone systems. (English) Zbl 1162.39009
The author uses the method of embedding a system into a larger monotone system, to obtain again the global stability results of M. Kulenovic and O. Merino [Discrete Contin. Dyn. Syst., Ser. B 6, No. 1, 97–110 (2006; Zbl 1092.37014)]. Then he shows that, for the class of mixed-monotone systems, the global stability can be obtained directly, without embedding.

MSC:
39A11 Stability of difference equations (MSC2000)
39A10 Additive difference equations
39A12 Discrete version of topics in analysis
37C75 Stability theory for smooth dynamical systems
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References:
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[2] DOI: 10.1016/j.jde.2005.05.007 · Zbl 1103.34021 · doi:10.1016/j.jde.2005.05.007
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[7] Kulenović M., Discrete Contin. Dyn. Syst. Series B 6 pp 97– (2006)
[8] DOI: 10.1007/s00285-006-0004-3 · Zbl 1118.65057 · doi:10.1007/s00285-006-0004-3
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