In the literature, several epidemiological studies have already associated respiratory and cardiovascular diseases with acute exposure to mineral dust. However, frail people are also susceptible to chronic exposure to particles with an aerodynamic diameter of 10 μm or less (𝑃𝑀10). Therefore, it is essential to better understand the fluctuations of 𝑃𝑀10 at all scales. In partnership with the University of Córdoba, the KaruSphère laboratory studied the multifractal properties of the background atmosphere linked to desert aerosols in the Caribbean basin. For this, the regular visibility graph (VG) and the new inverted visibility graph (UDVG) are used. The analysis of the degree distribution highlighted the fact that the difference between VG and UDVG is reduced for the high dust season unlike the low one. Concerning the multifractal analysis, the degree of multifractality is higher for the low season in VG while it is higher for the high season in UDVG. The degree distribution behavior and inverse multifractal degree trend for UDVG is due to the 𝑃𝑀10 related background atmosphere increase during peak dust season i.e. May to September .