Return-to-home model for short-range human travel-Reference-Cited by-同舟云学术

Return-to-home model for short-range human travel

Published:2022 Issue:8 Volume:19 Page:7737-7755
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Ducrot Arnaud¹,Magal Pierre²

Affiliation:

1. Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, France

2. Univ. Bordeaux, CNRS, IMB, UMR 5251, Talence F-33400, France

Abstract

<abstract><p>In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suitable functional framework to handle this system and study the large-time behavior of the solutions. We extend our model by incorporating a colonization process and applying the return to home process to an epidemic.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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