Nakata Yukihiko: Note on stability conditions for structured population dynamics models. (2016)
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Abstract
We consider a characteristic equation to analyze asymptotic stability of a scalar renewal equation, motivated by structured population dynamics models. The characteristic equation is given by 1 = Z ∞ 0 k(a)e −λa da, where k : R+ → R can be decomposed into positive and negative parts. It is shown that if delayed negative feedback is characterized by a convex function, then all roots of the characteristic equation locate in the left half complex plane.
| Item Type: | Journal |
|---|---|
| Other title: | Honoring the career of Tibor Krisztin on the occasion of his sixtieth birthday |
| Publication full: | Electronic journal of qualitative theory of differential equations : special edition |
| Date: | 2016 |
| Volume: | 2 |
| Number: | 78 |
| ISSN: | 1417-3875 |
| Number of Pages: | 14 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2016.1.78 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 11-14. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 11. 14:33 |
| Last Modified: | 2021. Nov. 12. 09:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73745 |
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