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We study the effects of local and distance interactions in the unidimensionalcontact process (CP). In the model, each site of a lattice is occupied by anindividual, which can be healthy or infected. As in the standard CP, eachinfected individual spreads the disease to one of its first-neighbors with rate$\lambda$, and with unitary rate, it becomes healthy. However, in our model, aninfected individual can transmit the disease to an individual at a distance$\ell$ apart. This step mimics a vector-mediated transmission. We observe thehost-host interactions do not alter the critical exponents significantly incomparison to a process with only L\'evy-type interactions. Our resultsconfirm, numerically, early field-theoretic predictions.

Local vs. long-range infection in unidimensional epidemics