Note on stability conditions for structured population dynamics models
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 tha...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2016
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| Sorozat: | Electronic journal of qualitative theory of differential equations : special edition
2 No. 78 |
| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2016.1.78 |
| Online Access: | http://acta.bibl.u-szeged.hu/73745 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 14 |
| ISSN: | 1417-3875 |