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Stability and Hopf bifurcation for a stage-structured predator–prey model incorporating refuge for prey and additional food for predator

Crossref DOI link: https://doi.org/10.1186/s13662-019-1979-6

Published Online: 2019-01-30

Published Print: 2019-12

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Bai, Yuzhen http://orcid.org/0000-0002-0370-9395
Li, Yunyun
Funding

Funding for this research was provided by:

China Postdoctoral Science Foundation (2014M551873)

Postdoctoral Science Foundation of Shandong Province (201401008)

Distinguished Middle-Aged and Young Scientist Encourage and Reward Foundation of Shandong Province (No.ZR2018BF018)
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Article History

Received: 24 July 2018

Accepted: 17 January 2019

First Online: 30 January 2019

Competing interests

: The authors declare that they have no competing interests.