  In the present paper, we define the Gompertz wavelets and show their basic
properties. In particular, we prove that the admissibility condition holds for
them. We also compute the normalizing factors in the space of square
intergrable functions $L^{2}(\mathbb{R})$ and present an explicit formula for
them in terms of the Bernoulli numbers. Then, after implementing the
second-order Gompertz wavelets into Matlab's Wavelet Toolbox, we apply them to
study the spread of the Covid-19 pandemic in Saudi Arabia.
