Front propagation for discrete periodic monostable equations
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- Guo, J. & Hamel, F. Math. Ann. (2006) 335: 489. doi:10.1007/s00208-005-0729-0
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This paper deals with front propagation for discrete periodic monostable equations. We show that there is a minimal wave speed such that a pulsating traveling front solution exists if and only if the wave speed is above this minimal speed. Moreover, in comparing with the continuous case, we prove the convergence of discretized minimal wave speeds to the continuous minimal wave speed.