A reaction–diffusion–advection model for lytic algae virus transmission in rivers/streams

Kexin Hua, Yawen Yan and Jimin Zhang

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 241, issue PB, 165-182

Abstract: Various types of algae inhabit rivers/streams and they are susceptible to infection by lytic algae viruses. A Reaction–diffusion–advection model is developed to characterize lytic algae virus transmission in rivers/streams. Model dynamics are explored including the well-posedness of solutions, steady state solutions, and uniform persistence. We obtain two critical thresholds for algae survival and the spread of lytic algae viruses in rivers/streams. Numerical diagrams from the model illustrate that varying ecological factors influence lytic algae virus transmission and cause complex dynamics. Especially, lytic viruses have the capacity to reshape the spatial distribution of algae in rivers/streams and contribute to the regulation of algal blooms.

Keywords: Reaction–diffusion–advection model; Lytic algae viruses; Rivers/streams; Ecological factors; Basic reproduction number (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:241:y:2026:i:pb:p:165-182

DOI: 10.1016/j.matcom.2025.10.009

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