On the series expansion of the spatial SIS evolution operator

Martins, José; Aguiar, Maíra; Pinto, Alberto; Stollenwerk, Nico

http://hdl.handle.net/10400.8/14823

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Abstract(s)

For the spatial stochastic susceptible–infected–susceptible model, we consider the perturbative series expansion of the gap between the dominant and subdominant eigenvalues of the evolution operator. We compute explicitly the first terms of the series expansion of the gap with difference equations for the calculation of states.

Keywords

SIS model contact process evolution operator series expansion critical threshold

URI

http://hdl.handle.net/10400.8/14823

Citation

Martins, J., Aguiar, M., Pinto, A., & Stollenwerk, N. (2011). On the series expansion of the spatial SIS evolution operator. Journal of Difference Equations and Applications, 17(7), 1107–1118. https://doi.org/10.1080/10236190903153884