On first-order hyperbolic partial differential equations with two internal variables modeling population dynamics of two physiological structures
Author:
Funder
Directorate for Mathematical and Physical Sciences
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10231-020-01001-5.pdf
Reference55 articles.
1. Anita, S.: Analysis and Control of Age-Dependent Population Dynamics. Springer, New York (2000)
2. Bacaër, N., Ait Dads, E.H.: Genealogy with seasonality, the basic reproduction number, and the influenza pandemic. J. Math. Biol. 62, 741–762 (2011)
3. Barfield, M., Holt, R.D., Gomulkiewicz, R.: Evolution in stage-structured populations. Am. Nat. 177, 397–409 (2011)
4. Brikci, F.B., Clairambault, J., Ribba, B., Perthame, B.: An age-and-cyclin-structured cell population model for healthy and tumoral tissues. J. Math. Biol. 57, 91–110 (2008)
5. Bernard, S., Pujo-Menjouet, L., Mackey, M.C.: Analysis of cell kinetics using a cell division marker: mathematical modeling of experimental data. Biophys. J. 84(5), 3414–3424 (2003)
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