Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models

Pierre Magal*, Ousmane Seydi, Feng Bin Wang

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

16 Scopus citations

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 languageEnglish
Pages (from-to)450-481
Number of pages32
JournalJournal of Mathematical Analysis and Applications
Volume479
Issue number1
DOIs
StatePublished - 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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