| Abstract | In this talk, we will examine the development and analysis of a mathematical model for describing the dynamics of infection by a virus of a host population in a freshwater environment. This interaction is part of the microbial loop, as it incorporates microorganisms as an integral component of the aquatic food chain. Our approach illustrates a new type of theoretical models that link population dynamics with nutrient cycling. We provide a biological description of the processes involved and discuss the mathematical analysis of the resulting system including the existence and uniqueness of solutions, equilibria, asymptotic, and persistence analysis. The biological relevance of the proposed model will be addressed, as we validate the model by solving an inverse problem with use of laboratory data. |
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