There is a brief article (from 2009) about viral waves here:
www.nhs.uk/news/heart-and-lungs/pandemic-waves/
The key points of the article (about H1N1) are:
*Based on the pattern of spread for 14 different influenza pandemics over the past 500 years, there is little evidence to support the likelihood of a second or third more lethal wave of H1N1 influenza.
*The term “wave” entered into common use after the influenza pandemic that spread from Asia in 1889. Between 1890 and 1894 there were as many as four annual, seasonal peaks in mortality from flu reported after the main pandemic had passed.
*The 1918 influenza pandemic was thought to have killed 50 million people worldwide. However, there is little evidence that the outbreak started with a first wave of milder illness followed by a second, more deadly wave when the virus mutated into a more transmissible and virulent form.
*There is also little convincing evidence from the 1957 and 1968 pandemics to support the idea that viruses start out relatively mild before turning into more lethal mutations.