The morphological evolution of river deltas is a complex process influenced by both natural forces and human interventions. As hubs of human settlement and economic activity, deltas face unique challenges that necessitate integrated management strategies to balance development with ecological sustainability. This study investigates multiple equilibrium states within deltaic systems, revealing key internal feedback mechanisms between delta branches through a novel theoretical model tailored to river-dominated delta channels. Focusing on the Po River Delta as a case study, we analyze equilibrium variability and identify potential avulsion sites. These findings provide a valuable framework for predicting future shifts in deltaic morphology and supporting adaptive management strategies.