Abstract
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 integropartial derivative equations to a single equation. Computations confirm that there is a good fit between the results for the original and reduced models.
Original language | English |
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Pages (from-to) | 1007-1016 |
Journal | Mathematical Biosciences and Engineering |
Volume | 12 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 Jan 2015 |
Keywords
- Basic reproduction number
- Darwinian fitness
- HIV
- Integro-differential equations
- Nowak-May model
- Phenotype space
- Singularly perturbed system
- Slow-fast dynamics
- Variant space
- Viral dynamics
- Viral evolution