Order reduction for an RNA virus evolution model.
A mathematical or computational model in evolutionary biology should necessary combine several comparatively fast processes, which actually drive natural selection and evolution, with a very slow process of evolution. As a result, several very different time scales are simultaneously present in the model; this makes its analytical study an extremely difficult task. However, the significant difference of the time scales implies the existence of a possibility of the model order reduction through a process of time separation. In this paper we conduct the procedure of model order reduction for a reasonably simple model of RNA virus evolution reducing the original system of three integro-partial derivative equations to a single equation. Computations confirm that there is a good fit between the results for the original and reduced models.
Centre de Recerca Matemática, Campus de Bellaterra, Edifici C, 08193 Barcelona, Spain. akorobeinikov@crm.cat.
Andrei
A
Korobeinikov
Aleksei
A
Archibasov
Vladimir
V
Sobolev
D000465:Algorithms; D050936:Basic Reproduction Number; D019295:Computational Biology; D003198:Computer Simulation; D019143:Evolution, Molecular; D015658:HIV Infections / Q000503:physiopathology / Q000821:virology*; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D010641:Phenotype; D012327:RNA Virus Infections / Q000503:physiopathology / Q000821:virology*; D012328:RNA Viruses / Q000235:genetics* / Q000502:physiology*; D013950:Thymus Gland / Q000378:metabolism