Abstract
In this paper an operator splitting method is being considered for numerical solution of compartmental epidemiological population models with and without di usion. This is based on meshless and nitedi erence method. A one step ex-plicit meshless procedure is also applied for the numerical solution of the model. The compartmental model comprises of susceptible, vaccinated, exposed, infected, recovered(SVEIRS) classes of the population. E ects of the di usion on the simulation results of the model will bestudied. Due to non-availability of the exact and precise solution, the numerical results obtained aremutually compared and their correctness will be veri ed by the theoretical results .
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