About the Authors

Qing Li

Affiliation School of Mathematical Sciences, Capital Normal University, Beijing, China

Jiahua Zhang

Affiliation Key Lab of Animal Ecology and Conservational Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China

Boyu Zhang

zhangby@bnu.edu.cn

Affiliation Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing, China

Ross Cressman

Affiliation Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

Yi Tao

Affiliation Key Lab of Animal Ecology and Conservational Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: QL JZ BZ RC YT. Performed the experiments: QL JZ BZ RC YT. Analyzed the data: QL JZ BZ RC YT. Contributed reagents/materials/analysis tools: QL JZ BZ RC YT. Wrote the paper: QL JZ BZ RC YT.