Before revision: We establish that mass conserving single terminal-linkage networks of chemical reactions admit positive equilibria regardless of the choice of reaction rate constants and network deficiency .
After revision: We establish that mass conserving single terminal-linkage networks of chemical reactions admit positive equilibria regardless of the choice of reaction rate constants . This result holds for closed systems without material exchange across the boundary, as well as for open systems with material exchange at rates that satisfy a simple sufficient and necessary condition .