About the Authors

Rui-Wu Wang

ruiwukiz@hotmail.com (RWW); liyaotang@ynu.edu.cn (YTL)

Affiliation Kunming Institute of Zoology, Chinese Academy of Science, Kunming, Yunnan, China

Ya-Qiang Wang

Affiliations Kunming Institute of Zoology, Chinese Academy of Science, Kunming, Yunnan, China, School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan, China

Jun-Zhou He

Affiliation Statistics and Mathematics College, Yunnan University of Finance and Economics, Kunming, Yunnan, China

Yao-Tang Li

ruiwukiz@hotmail.com (RWW); liyaotang@ynu.edu.cn (YTL)

Affiliation School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan, China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Performed the experiments: RWW YQW JZH YTL. Analyzed the data: RWW YQW. Contributed reagents/materials/analysis tools: RWW YQW JZH. Wrote the paper: RWW YQW.