I don't think it's true. I believe the reason we have linear or stable infection rates is that the determination to stop the virus grows as the number grow and

I don't think it's true. I believe the reason we have linear or stable infection rates is that the determination to stop the virus grows as the number grow and then wanes as infection rates fall. This basically works like a thermostat (viro-stat?) and is due to governments or large parts of population not willing to put up with restriction when rates are falling ("why do I need to comply, this is no longer a real problem?") This is what I see here in Poland. The government supposedly "closely" watches the situation and puts new restriction wherever the infection rates spike but then promptly removes them when they start falling to what is described as "acceptable level". This is no way to combat the virus, this is the recipe to keep it around indefinitely.