Abstract
In the present paper the mathematical validity of a model on the spread of an infectious disease is proved. This model was proposed by Bailey in [2]. The mathematical validity is proved by means of a positivity, uniqueness and existence theorem. Moreover the large time behaviour of the global solutions is analyzed. In spite of the apparent simplicity of the problem, the solution requires a delicate set of techniques. It seems very difficult to extend these techniques to a model in more than one dimension without imposing conditions on the data.
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