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arXiv · 1004.1354

On applications of Ulam-Hyers stability in biology and economics

E. Ahmed·A. M. A. El-Sayed·H. A. A. El-Saka·Gehan A. Ashry
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Abstract

We argue that Ulam-Hyers stability concept is quite significant in realistic problems in numerical analysis, biology and economics. A generalization to nonlinear systems is proposed and applied to the logistic equation (both differential and difference), SIS epidemic model, Cournot model in economics and a reaction diffusion equation. To the best of our knowledge this is the first time Ulam-Hyers stability is considered from the applications point of view.

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E. Ahmed, A. M. A. El-Sayed, H. A. A. El-Saka, Gehan A. Ashry. 2010-04-03. On applications of Ulam-Hyers stability in biology and economics. https://arxiv.org/abs/1004.1354

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