Evolutionary Dynamics With Environmental Feedback in Asymmetrically Coupled Communities

ABSTRACT This paper extends the framework of classical eco‐evolutionary game theory by establishing an asymmetric two‐community resource coupling model. By defining distinct community types, we simulate the asymmetry in environmental resource management and consumption across communities. Under the assumption that only one community is responsible for environmental resources, we theoretically and numerically analyze the equilibria and their stability. The model exhibits rich dynamic behaviors, including Hopf bifurcations and a heteroclinic network composed of six heteroclinic cycles within the system. To prevent resource collapse, we derive the maximum resource consumption threshold for the irresponsible community. The results show that the conditions for system stability in single‐community models no longer apply in multicommunity systems, and excessive cross‐community interactions may cause systemic risks. This work extends existing research and provides a new theoretical perspective for understanding the asymmetric evolution of multicommunity resource coupling.