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

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-10-08 DOI:10.1016/j.matcom.2025.10.009

Kexin Hua, Yawen Yan, Jimin Zhang

引用次数: 0

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.

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溶藻病毒在河流/溪流中传播的反应-扩散-平流模型

各种类型的藻类栖息在河流/溪流中，它们很容易被溶藻病毒感染。建立了一个反应-扩散-平流模型来描述溶藻病毒在河流/溪流中的传播。模型动力学探讨包括解决方案的适定性，稳态解决方案，和一致的持久性。我们获得了河流/溪流中藻类生存和溶藻病毒传播的两个临界阈值。模型的数值图表明，不同的生态因素影响溶藻病毒的传播，并引起复杂的动力学。特别是，溶菌病毒能够重塑河流/溪流中藻类的空间分布，并对藻华的调控做出贡献。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.