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Peer-reviewedCC BY-NC 4.0Mathematical Biosciences and Engineering

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

  • Arnaud Ducrot
  • Pierre Magal
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@article{ducrot2026returntohome,
  title = {{Return-to-home model for short-range human travel}},
  author = {Arnaud Ducrot and Pierre Magal},
  journal = {Mathematical Biosciences and Engineering},
  year = {2026},
  month = sep,
  doi = {10.3934/mbe.2022363},
  eprint = {2201.05774},
  archivePrefix = {arXiv},
  url = {https://normandie-univ.hal.science/hal-04093182v1},
  note = {CC BY-NC 4.0},
}
RIS
TY  - JOUR
TI  - Return-to-home model for short-range human travel
AU  - Arnaud Ducrot
AU  - Pierre Magal
PY  - 2026
DA  - 2026/09/17
JO  - Mathematical Biosciences and Engineering
DO  - 10.3934/mbe.2022363
UR  - https://normandie-univ.hal.science/hal-04093182v1
AB  - 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.
SN  - 1547-1063
SN  - 1551-0018
ER  -