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A new result for the strong uniqueness for catalytic branching diffusions isestablished, which improves the work of Dawson, D.A.; Fleischmann, K.; Xiong,J.[Strong uniqueness for cyclically symbiotic branching diffusions. Statist.Probab. Lett. 73, no. 3, 251--257 (2005)].

Strong uniqueness for a class of singular SDEs for catalytic branching diffusions