Order reduction for a model of marine bacteriophage evolution

8th Workshop on Multi-Rate Processes and Hysteresis;HSFS Workshop (Hysteresis and Slow-Fast Systems)

Pagliarini, Silvia^1 ; Korobeinikov, Andrei^2,3

Univestitá degli Studi di Verona, Verona, Italy^1

Centre de Recerca Matemática, Campus de Bellaterra, Bellaterra, Barcelona

08193, Spain^2

Departament de Matemátiques, Universitat Autónoma de Barcelona, Campus de Bellaterra, Edifici C, Bellaterra, Barcelona

08193, Spain^3

关键词: Mechanistic modeling;    Order reduction;    Orders of magnitude;    Quasi steady state approximation;    Separation techniques;    Singularly perturbed;    Time-scales;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/811/1/012010/pdf
DOI  :  10.1088/1742-6596/811/1/012010

来源: IOP

【 摘 要 】

A typical mechanistic model of viral evolution necessary includes several time scales which can differ by orders of magnitude. Such a diversity of time scales makes analysis of these models difficult. Reducing the order of a model is highly desirable when handling such a model. A typical approach applied to such slow-fast (or singularly perturbed) systems is the time scales separation technique. Constructing the so-called quasi-steady-state approximation is the usual first step in applying the technique. While this technique is commonly applied, in some cases its straightforward application can lead to unsatisfactory results. In this paper we construct the quasi-steady-state approximation for a model of evolution of marine bacteriophages based on the Beretta-Kuang model. We show that for this particular model the quasi-steady-state approximation is able to produce only qualitative but not quantitative fit.