Abstract
With the averaged net reproductive rate used as a bifurcation parameter, the existence of a local parameterized branch of time-periodic solutions of the McKendrick equations is proved under the assumption that the death and fertility rates suffers small-amplitude time periodicities. The required linear theory is developed and the results are illustrated by means of a simple example in which fertility varies cosinusoidally in time.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 513-526 |
| Number of pages | 14 |
| Journal | Computers and Mathematics with Applications |
| Volume | 12 |
| Issue number | 4-5 PART A |
| DOIs | |
| State | Published - 1986 |
ASJC Scopus subject areas
- Modeling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics
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