Abstract
In this article we first derive some sufficient conditions to establish the monotonicity and comparison principles of the semi-flow generated by non-densely defined Cauchy problems. We apply our results to a class of age structured population models. As a consequence we obtain a monotone semi-flow theory and some comparison principles for age structured models.
| Original language | English |
|---|---|
| Pages (from-to) | 450-481 |
| Number of pages | 32 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 479 |
| Issue number | 1 |
| DOIs | |
| State | Published - 01 11 2019 |
Bibliographical note
Publisher Copyright:© 2019 Elsevier Inc.
Keywords
- Age structured population dynamics models
- Comparison principle
- Integrated semigroup
- Monotone semiflow
- Non-dense domain
- Semilinear differential equations
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