  One of the critical measures to control infectious diseases is a lockdown.
Once past the lockdown stage in many parts of the world, the crucial question
now concerns the effects of relaxing the lockdown and finding the best ways to
implement further lockdown(s), if required, to control the spread. With the
relaxation of lockdown, people migrate to different cities and enhance the
spread of the disease. This work presents the population migration model for
n-cities and applies the model for migration between two and three cities. The
reproduction number is calculated, and the effect of the migration rate is
analyzed. A punctuated lockdown is implemented to simulate a protocol of
repeated lockdowns that limits the resurgence of infections. A damped
oscillatory behavior is observed with multiple peaks over a period.
