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A Leslie-Gower predator-prey model with a free boundary

Dedicated to Professor Norman Dancer on the occasion of his 70th birthday

The work of ME and LW was supported by NSERC Discovery Grants from the Natural Sciences and Engineering Research Council of Canada (NSERC). YL and ZG acknowledge support from the National Natural Science Foundation of China (No.11771104), Program for Changjiang Scholars and Innovative Research Team in University (IRT-16R16).YL was supported by the Innovation Research for the Postgraduates of Guangzhou University under Grant No.2017GDJC-D05

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