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

A new result for the strong uniqueness for catalytic branching diffusions is established, which improves the work of Dawson, Fleischmann and Xiong [Dawson, D.A., Fleischmann, K., Xiong, J., 2005. Strong uniqueness for cyclically symbiotic branching diffusions. Statist. Probab. Lett. 73 (3), 251-257].