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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 24

Phytoplankton diffusive model with pulse and viral infection

Yu Zang, Haiyan Xu, Zhigui Lin

PDF (163.3 KB) https://doi.org/10.28919/cmbn/3807

Abstract

This paper deals with a reaction-diffusion-advection problem, which describes phytoplankton model with pulse and virus infection. Firstly, the corresponding periodic problem is considered, and the principal eigenvalues of periodic eigenvalue problems are calculated, and the conditions related to the eigenvalues for the existence of disease-free periodic solution are given. Finally, the asymptotic behavior of disease-free periodic solution is studied, and the sufficient conditions for extinction of virus and persistence of phytoplankton are obtained. Keywords: phytoplankton; diffusion; harvest pulse; virus extinction.

Published
6 March 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Yu Zang, Haiyan Xu, Zhigui Lin. 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

Y. Zang, H. Xu, Z. Lin, Phytoplankton diffusive model with pulse and viral infection, Commun. Math. Biol. Neurosci. 2023 (2023), 24. https://doi.org/10.28919/cmbn/3807

BibTeX
@article{Zang2023,
  author  = {Zang, Yu and Xu, Haiyan and Lin, Zhigui},
  title   = {Phytoplankton diffusive model with pulse and viral infection},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {24},
  doi     = {10.28919/cmbn/3807}
}