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Current questions in ecology revolve around instabilities in the dynamics onspatial networks and particularly the effect of node heterogeneity. We extendthe Master Stability Function formalism to inhomogeneous biregular networkshaving two types of spatial nodes. Notably, this class of systems also allowsthe investigation of certain types of dynamics on higher-order networks.Combined with the Generalized Modelling approach to study the linear stabilityof steady states, this is a powerful tool to numerically asses the stability oflarge ensembles of systems. We analyze the stability of ecologicalmetacommunities with two distinct types of habitats analytically andnumerically in order to identify several sets of conditions under which thedynamics can become stabilized by dispersal. Our analytical approach allowsgeneral insights into stabilizing and destabilizing effects in metapopulations.Specifically, we show that maladaptive dispersal may be stable under certainconditions.

Master Stability Functions for metacommunities with two types of habitats