On the critical infection rate of the one-dimensional basic contact process: Numerical results

On the critical infection rate of the one-dimensional basic contact process: Numerical results

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Article ID: iaor1988821
Country: Israel
Volume: 25
Issue: 1
Start Page Number: 1
End Page Number: 8
Publication Date: Mar 1988
Journal: Journal of Applied Probability
Authors: ,
Abstract:

Instead of the basic contact process on >∼ with infection rate λ the authors consider for m≥0 the Markov process starting with ξ0(k)=1 for k≥0 and ξ0(k)=0 for k<0 and with changing only those k which are at most m places to the right of the left-most infected cell. For m=0,1,...,14 direct computations give critical values which are lower bounds for the critical value of the original basic contact process.

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