Phytoplankton diffusive model with pulse and viral infection

Yu Zang, Haiyan Xu, Zhigui Lin


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.

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Published: 2023-03-06

How to Cite this Article:

Yu Zang, Haiyan Xu, Zhigui Lin, Phytoplankton diffusive model with pulse and viral infection, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 24

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.

Commun. Math. Biol. Neurosci.

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