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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 questionnow concerns the effects of relaxing the lockdown and finding the best ways toimplement further lockdown(s), if required, to control the spread. With therelaxation of lockdown, people migrate to different cities and enhance thespread of the disease. This work presents the population migration model forn-cities and applies the model for migration between two and three cities. Thereproduction number is calculated, and the effect of the migration rate isanalyzed. A punctuated lockdown is implemented to simulate a protocol ofrepeated lockdowns that limits the resurgence of infections. A dampedoscillatory behavior is observed with multiple peaks over a period.

Effect of population migration and punctuated lockdown on the spread of infectious diseases