g. shtml and elsewhere, is that "continue" can take both the infinitive and the -ing form, with little difference in meaning. The more complicated answer is that for some reason "to spread" sounds considerably better to me in this case.
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alend.leoIn these two sentences The disease continues spreading in the village.The disease continues to spread in the village. ... Is there any difference ...?There are some verbs which can take either the 'to' form or the '-ing' form with little or no difference in meaning. Often the 'to' form is preferred.