This paper presents a mathematical model based on the influence of unmonitored asymptomatic individuals, vaccinations and individuals returning home to the spread of COVID 19. The concept used is that individual populations moves in 3 regions with each region having 1 interface or 1 connecting route. Individual movement is expressed by a weight function which in modeling use the Kernel density function in the normal group. The mathematical model obtained is in the form of a System of Integro-Partial Differential Equations consisting of 3 regional sub-models and an entire regional system model. Leipzig constant analysis was carried out in order to obtain model validation that was suitable for the phenomenon that occurred.
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