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Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates
《International Journal of Biomathematics》2023年第8期1-45,共45页Xiao Yu Ming Liu Zhaowen Zheng Dongpo Hu 
supported by the NSF of Shandong Province(ZR2021MA016,ZR2019MA034,ZR2018BF018);the China Postdoctoral Science Foundation(2019M652349);the Youth Creative Team Sci-Tech Program of Shandong Universities(2019KJI007).
In this paper,a discrete-time SIR epidemic model with nonlinear incidence and recovery rates is obtained by using the forward Euler’s method.The existence and stability of fixed points in this model are well studied....
关键词：Discrete-time SIR epidemic model nonlinear incidence rate nonlinear recovery rate codimension-one bifurcation codimension-two bifurcation 
Codimension-2 bifurcation in a discrete predator-prey system with constant yield predator harvesting
《International Journal of Biomathematics》2023年第5期165-191,共27页Anuraj Singh Vijay Shankar Sharma 
supported by Science Engineering Research Board,Government of India (CRG/2021/006380).
This work investigates the bifurcation analysis in a discrete-time Leslie-Gower predatorprey model with constant yield predator harvesting.The stability analysis for the fixed points of the discretized model is shown ...
关键词：Flip bifurcation Neimark-Sacker bifurcation generalized fip bifurcation Bogdanov-Takens bifurcation HARVESTING 
Bogdanov-Takens bifurcation with codimension three of a predator-prey system suffering the additive Allee effect
《International Journal of Biomathematics》2017年第3期261-284,共24页Yanwei Liu Zengrong Liu Ruiqi Wang 
The authors would like to thank the anonymous reviewers for their valuable comments and suggestions. This research is supported by the National Natural Science Foundation of China （No. 11171206）. This research is also sponsored by the Research Fund for the Doctoral Program of Zhengzhou University of Light Industry.
In the present work, research efforts have focused on investigating codimension two and three Bogdanov-Takens bifurcations of a predator-prey system with additive Allee effect. According to the existence conditions of...
关键词：Bogdanov-Takens bifurcation Allee effect universal unfolding 
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