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

Pierre Magal; Ousmane Seydi; Feng Bin Wang

doi:10.1016/j.jmaa.2019.06.034

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

Division of Natural Science

Research output: Contribution to journal › Journal Article › peer-review

22 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 language	English
Pages (from-to)	450-481
Number of pages	32
Journal	Journal of Mathematical Analysis and Applications
Volume	479
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2019.06.034
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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10.1016/j.jmaa.2019.06.034

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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.",

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AU - Seydi, Ousmane

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N2 - 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.

AB - 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.

KW - Age structured population dynamics models

KW - Comparison principle

KW - Integrated semigroup

KW - Monotone semiflow

KW - Non-dense domain

KW - Semilinear differential equations

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M3 - 文章

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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ER -

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

Abstract

Bibliographical note

Keywords

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