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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 104

Analysis of a vector preference model for potato virus Y transmission

Fangyuan Zhang, Shujing Gao, Yujiang Liu, Ying Wang

PDF (724.0 KB) https://doi.org/10.28919/cmbn/8160

Abstract

Potato virus Y (PVY) is one of the most common widespread vector-borne transmission diseases through aphids. In recent years, biologists have focused on the effect of vector preference to the spread of PVY. In this paper, according to transmission mechanism of PVY, a mathematical model of a vector-borne disease including preference behavior and vertical transmission of vector is formulated. The basic reproduction number R0 is calculated by using the next generation matrix method. The existence of a backward bifurcation presents a further sub-threshold condition below R0 for the spread of the disease by theoretical and numerical analysis. Numerical simulations suggest that vector preference plays an important role in the spread of PVY.

Published
3 October 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Fangyuan Zhang, Shujing Gao, Yujiang Liu, Ying Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

F. Zhang, S. Gao, Y. Liu, Y. Wang, Analysis of a vector preference model for potato virus Y transmission, Commun. Math. Biol. Neurosci. 2023 (2023), 104. https://doi.org/10.28919/cmbn/8160

BibTeX
@article{Zhang2023,
  author  = {Zhang, Fangyuan and Gao, Shujing and Liu, Yujiang and Wang, Ying},
  title   = {Analysis of a vector preference model for potato virus Y transmission},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {104},
  doi     = {10.28919/cmbn/8160}
}