One-dimensional measles dynamics
نویسندگان
چکیده
The SEIR model for the transmission dynamics of measles is extended by the addition of second-order space derivatives to enable the geographic spread of the disease in a population which has not been vaccinated against it. The resulting system of three reaction-diffusion equations is solved by a convergent finite-difference technique which is second-order accurate in space and time. A parallel implementation procedure is studied and the method is tested using two initial distributions. 2003 Elsevier Inc. All rights reserved.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 152 شماره
صفحات -
تاریخ انتشار 2004