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Basic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy Problems
Abstract
The theory of the basic reproduction ratio R0 is established for the almost periodic non-densely defined Cauchy problems. Firstly, we present some dynamical properties of the linear almost periodic non-densely defined Cauchy problems. Then we define the evolution semigroups on the space of almost periodic functions, investigate their infinitesimal generators and define the basic reproduction ratio R0. Finally, our developed theory is applied to age-structured models and functional differential systems.
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BibTeX
@misc{huo2026basic,
title = {{Basic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy Problems}},
author = {Jiawei Huo and Rong Yuan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26473},
eprint = {2609.26473},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26473},
}
RIS
TY - UNPB
TI - Basic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy Problems
AU - Jiawei Huo
AU - Rong Yuan
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26473
UR - https://arxiv.org/abs/2609.26473
AB - The theory of the basic reproduction ratio R_0 is established for the almost periodic non-densely defined Cauchy problems. Firstly, we present some dynamical properties of the linear almost periodic non-densely defined Cauchy problems. Then we define the evolution semigroups on the space of almost periodic functions, investigate their infinitesimal generators and define the basic reproduction ratio R_0. Finally, our developed theory is applied to age-structured models and functional differential systems.
ER -