Abstract
We define a linear physiologically structured population model by two rules, one for reproduction and one for "movement" and survival. We use these ingredients to give a constructive definition of next-population-state operators. For the autonomous case we define the basic reproduction ratio R0 and the Malthusian parameter r and we compute the resolvent in terms of the Laplace transform of the ingredients. A key feature of our approach is that unbounded operators are avoided throughout. This will facilitate the treatment of nonlinear models as a next step.
Original language | English (US) |
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Pages (from-to) | 349-388 |
Number of pages | 40 |
Journal | Journal Of Mathematical Biology |
Volume | 36 |
Issue number | 4 |
DOIs | |
State | Published - Mar 1998 |
Keywords
- Age structure
- Deterministic
- Linear
- Physiological structure
- Population dynamics
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics