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Underground methane-rich and combustion-prone longwall mining gobs are usually subjected to the symbiotic thread between coal gas and combustion disasters. Quantitative understanding of this symbiosis is essential to mitigate these potential disasters. However, previous mathematical models mainly focused on the simulation disaster of coal gas flow in gobs or spontaneous combustion, less attention is paid to the symbiosis between them. In this study, we extended a fully coupled coal-oxygen-heating model for the spontaneous combustion into a symbiotic model between coal gas flow and spontaneous combustion. This was achieved through the introduction of an accumulative gas release function in the set of coupled governing equations. The function defines the mass exchange of coal gas between gob and surrounding areas. We applied the symbiotic model to investigate the sensitivity of the symbiotic …