We study regional migration dynamics in a general framework and provide a foundation for the commonly used two-stage quilibrium. We also examine the robustness of bifurcations when parameters change along arbitrary smooth (C1) paths. We show that bifurcations with crossing equilibrium loci are...

This paper analyzes the genericity of bifurcations of one-parameter families of smooth (C1) vector fields that are embedded in an underlying multi-dimensional parameter space. Bifurcations with crossing equilibrium loci are called 'split bifurcations.' They include, for example, the pitchfork...