Stability and positivity of equilibria for subhomogeneous cooperative systems

Bokharaie, VS; Mason, O; Wirth, F

doi:10.1016/j.na.2011.06.023

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Stability and positivity of equilibria for subhomogeneous cooperative systems

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https://www.sciencedirect.com/science/article/pii/S0362546X11004421
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Bokharaie, V., Mason, O., & Wirth, F. (2011). Stability and positivity of equilibria for subhomogeneous cooperative systems. Nonlinear Analysis: Theory, Methods & Applications, 74(17), 6416-6426. doi:10.1016/j.na.2011.06.023.

Cite as: https://hdl.handle.net/21.11116/0000-0001-AD85-6

Abstract

Building on recent work on homogeneous cooperative systems, we extend results concerning stability of such systems to subhomogeneous systems. We also consider subhomogeneous cooperative systems with constant input, and relate the global asymptotic stability of the unforced system to the existence and stability of positive equilibria for the system with input.