Work

Basic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy Problems

Year: 2026

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.26473

Authors: Huo, Jiawei, Yuan, Rong

Institutions: Beijing University of Chemical Technology, Beijing Normal University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G3485117434

OpenAlex ID: W7214120943

Cites: 1

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Related to: 10