On the characteristic equation (Formula presented.) and its use in the context of a cell population model
Files
Publication date
2016-03-01
Authors
Diekmann, O.
Getto, Philipp
Nakata, Yukihiko
Editors
Advisors
Supervisors
Document Type
Article
Metadata
Show full item recordCollections
License
Abstract
In this paper we characterize the stability boundary in the (Formula presented.) -plane, for fixed (Formula presented.) with (Formula presented.) , for the characteristic equation from the title. Subsequently we describe a nonlinear cell population model involving quiescence and show that this characteristic equation governs the (in)stability of the nontrivial steady state. By relating the parameters of the cell model to the (Formula presented.) , we are able to derive some biological conclusions.
Keywords
34K20, 37N25, 45D05, 65L03, 92D25, Agricultural and Biological Sciences (miscellaneous), Applied Mathematics, Modelling and Simulation
Citation
Diekmann, O, Getto, P & Nakata, Y 2016, 'On the characteristic equation (Formula presented.) and its use in the context of a cell population model', Journal of Mathematical Biology, vol. 72, no. 4, pp. 877-908. https://doi.org/10.1007/s00285-015-0918-8