Before revision:  This paper aims to determine some necessary and sufficient mathematical conditions for an appropriate metapopulations network partitioning (spatial cut) such that populations remain linearly stable in the partitioninginduced daughter subnetworks. For that, metapopulations stability analysed and role of the Fiedler value of a metapopulations induced graph Laplacian described first .
After revision:  In this work, we determine if there exist(s) set(s) of dispersal connections removal of which causes partitioning(s) of the metapopulations network into dynamically stable sub-networks .