About the Authors

Jian Zu

jianzu@xjtu.edu.cn (JZ); jinliangwang@hlju.edu.cn (JW)

Affiliations School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China, Department of Ecology and Evolution, The University of Chicago, Chicago, IL 60637, United States of America

Jinliang Wang

jianzu@xjtu.edu.cn (JZ); jinliangwang@hlju.edu.cn (JW)

Affiliation School of Mathematical Science, Heilongjiang University, Harbin, 150080, P.R. China

Gang Huang

Affiliation School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, P.R. China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceptualization: JZ JW. Data curation: JZ. Formal analysis: JZ. Funding acquisition: JZ JW GH. Investigation: JZ. Methodology: JZ JW GH. Project administration: JZ. Resources: JZ JW. Software: JZ JW. Supervision: JZ. Validation: GH. Visualization: JW. Writing – original draft: JZ JW. Writing – review & editing: JZ.