A global stability criterion for a family of delayed population models

By Eduardo Liz, Manuel Pinto, V. Tkachenko, Sergei I. Trofimchuk. Quarterly of Applied Mathematics, 2005

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For a family of single-species delayed population models, a new global stability condition is found. This condition is sharp and can be applied in both monotone and nonmonotone cases. Moreover, the consideration of variable or distributed delays is allowed. We illustrate our approach on the Mackey-Glass equations and the Lasota-Wazewska model.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

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