Figure 1.

(a) Intracellular dynamics of viral RNA accumulation for turnip mosaic virus (TuMV). The circles and the triangles correspond, respectively, to normalized experimental data for positive (+) and negative (−) sense strands (see [18]). Solid and dashed trajectories show the fitting obtained numerically from equations (2.1) and (2.2) using α = 0.0642 (see [18] for the other parameter values). (b) Schematic of the system under study. In the experiments, a plasmid was used to produce a viral transcript responsible for initiating the process of viral replication, which starts once the RNA-dependent RNA-polymerase (RdRp) is translated from the RNA transcript. The grey box displays a schematic of the processes analysed in this study using equations (3.1) and (3.2). Our model considers strand replication at a rate r > 0. To include the replication mode, we use parameter α ∈ (0, 1]. When α = 1, the replication is geometric because it is equal for both types of strands. If α → 0, production of strands is mainly from (−) to (+) strands in the stamping machine mode. We also include degradation of the strands proportional to the parameter δ > 0.