In this article, we demonstrate that there is a kind of global human hosts adaptation strategy of SARS viruses as well as a strategy of global evolution of the genomes of the different strains of SARS which have emerged, mainly in China, between years 2003 first SARS genomes and the last 2020 nCoV-2019 Wuhan seafood market pneumonia virus isolate Wuhan-Hu-1, complete genome. This global strategy, this temporal link, is materialized in our demonstration by highlighting stationary numerical waves controlling the entire sequence of their genomes. Curiously, these digital waves characterizing the 9 SARS genomes studied here are characteristic whole numbers: the "Fibonacci numbers", omnipresent in the forms of Nature, and which our research for several decades has shown strong links with the proportions of nucleotides in DNA. Here we demonstrate that the complexity and fractal multiplicity of these Fibonacci numerical waves increases over the years of the emergence of new sArs strains. We suggest that this increase in the overall organization of the SARS genomes over the years reflects a better adaptation of SARS genomes to the human host. The question of a link with pathogenicity remains open. However, we believe that this overall strategy for the evolution of the SARS genomes ensures greater unity, consistency and integrity of the genome.