Faculty: Professor; Associate Professor; Lecturer

Zhihui Ma

Professor of Institute of Applied Mathematics.

Email：mazhh@lzu.edu.cn

Ph.D.Lanzhou University, 2010, Ecology

Biography

I received my Bachelor’s degrees in Mathematics from Northwest Normal University on 2004. I received my Bachelor’s and Doctor’s degrees in Mathematics and Ecology from Lanzhou University in 2007 and 2010.  In 2010, I joined School of Mathematics and Statistics of Lanzhou University as a researcher.

Social experience

Teaching and guiding the situation of graduate students

Project results

Research interests

Modelling and analysing of the interacting populations, infectious/epidemic diseases. Numerically simulating the analysis results.   Explaining the dynamical consequences and applying these to the realistic world.

Publications

1. Zhihui Ma, Shenghua Li, Shuyan Han, Bifurcation and optimal control for an infectious disease model with the impact of information, International Journal of Biomathematics, 2023, doi:10.1142/S1793524523500067.
2. Zhihui Ma, Ting Qi, Xiaohua Li, A generalized stochastic SIR epidemic model with vaccination rules, International Journal of Nonlinear Sciences and Numerical Simulation, 2023, doi:10.1515/ijnsns-2021-0448.
3. Zhihui Ma; Shufan Wang; Xuanru Lin; Xiaohua Li; Xiaotao Han; Haoyang Wang; Hua Liu, Modeling for COVID-19 with the contacting distance, Nonlinear Dynamics, 2022, 107:3065-3084.
4. Zhihui Ma, Shuyan Han, Shenghua Li, A stochastic eco-epidemiological system with patchy structure and transport-related infection, Journal of Mathematical Biology, 2021, 83(6-7):62.
5. Zhihui Ma, Shufan Wang, Tingting Wang, Haopeng Tang, A patchy predator-prey model with effect of prey refuge and migration, Rocky Mountain Journal of Mathematics, 2021, 51(3):951-962.
6. Zhihui Ma, Shufan Wang, Haopeng Tang, How do partially hiding behavior and completely hiding behavior impact interacting population? Journal of Biological Systems, 2020, 28(3): 641-679.
7. Zhihui Ma, Hopf bifurcation of a generalized delay-induced predator-prey system with habitat complexity, International Journal of Bifurcation and Chaos, 2020, 30:2050082.
8. Zhihui Ma, Shufan Wang, Xiaohua Li, A generalized infectious model induced by the contacting distance (CTD), Nonlinear Analysis: Real World Applications, 2020, 54:103113.
9. Zhihui Ma, Shufan Wang, A generalized predator-prey system with multiple discrete delays and habitat complexity, Japan Journal of Industrial and Applied Mathematics, 2019, 36(2):385-406.
10. Zhihui Ma, Shufan Wang, A delay-induced predator-prey model with Holling type functional response and habitat complexity, Nonlinear Dynamics, 2018, 93(3) :1519-1544.
11. Zhihui Ma, Haopeng Tang, Shufan Wang, Tingting Wang, Bifurcation of a predator-prey system with generation delay and habitat complexity, Journal Of The Korean Mathematical Society. 2018(55) 43-58.
12. Zhihui Ma, Shufan Wang, Tingting Wang, Haopeng Tang, Zizhen Li, A generalized predator-prey system with habitat complexity, Journal of Biological Systems, 25(2017)495-520.
13. Zhihui Ma, Shufan Wang, Permanence of a generalized predator-prey system with stage structure for prey , Journal of Applied Mathematics and Computing, 51 (2016) 593–603.
14. Zhihui Ma, Shufan Wang, Reconsider the effect of prey refuge in apredation model, Ecological Modelling, 317 (2015) 64–65.
15. Zhihui Ma, Shufan Wang, Weide Li, Zizhen Li, The effect of prey refuge in a patchy predator-prey system, Mathematical Biosciences, 243 (2013) 126–130.
16. Zhihui Ma, Shufan Wang, stability analysis: The effect of prey refuge in predator–prey model ,Ecological Modelling, 247 (2012) 95– 97.
17. Zhihui Ma, Shufan Wang, Dynamical analysis of prey refuge in a predator-prey system with Rosenzweig functional response, Advanced Materials Research, 271-273(2011)577-580.
18. Zhihui Ma, Shufan Wang, Wenting Wang, Zizhen Li, Permanence of a stage-structured predator-prey system with a class of functional responses, Comptes rendus Biologies, 334 (2011) 851–854.
19. Zhihui Ma, Shufan Wang, The effect of prey refuge in a simple predator–prey model, Ecological Modelling, 222 (2011)3453–3454.
20. Zhihui Ma, Wenlong Li, Shufan Wang, Zizhen Li, Yu Zhao, Dynamical Analysis of Prey Refuges in a Predator-Prey System With Ivlev Functional Response, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 16(2009)741-748.
21. Zhihui Ma, Wenlong Li, Yu Zhao, Wenting Wang, Hui Zhang, Zizhen Li, Effects of prey refuges on a predator–prey model with a class of functional responses: The role of refuges, Mathematical Biosciences, 218(2009)73–79.
22. Zhihui Ma, Zizhen Li, Stability condition for the predator-free equilibrium point of predator–prey systems with a class of functional response, Ecological Modeling, 216(2008)415-416.
23. Zhihui Ma, Zizhen Li, Shufan Wang, Ting Li, Fengpan Zhang, Permanence of a predator–prey system with stage structure and time delay, Applied Mathematics and Computation, 201(2008) 65-71.

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