Stability analysis of a fractional-order predator–prey model incorporating a constant prey refuge and feedback control

Author:

Li Hong-Li,Muhammadhaji Ahmadjan,Zhang Long,Teng Zhidong

Funder

Natural Science Foundation of Xinjiang Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference30 articles.

1. Maynard-Smith, J.: Models in Ecology. Cambridge University Press, Cambridge (1974)

2. Huang, Y., Chen, F., Li, Z.: Stability analysis of a prey–predator model with Holling type III response function incorporating a prey refuge. Appl. Math. Comput. 182, 672–683 (2006)

3. Chen, F., Chen, L., Xie, X.: On a Leslie–Gower predator–prey model incorporating a prey refuge. Nonlinear Anal., Real World Appl. 10, 2905–2908 (2009)

4. Ma, Z., Li, W., Zhao, Y., Wang, W., Zhang, H., Li, Z.: Effects of prey refuges on a predator–prey model with a class of functional responses: the role of refuges. Math. Biosci. 218, 73–79 (2009)

5. Ma, Z.: The research of predator–prey models incorporating prey refuges. Ph.D. Thesis, Lanzhou University, P.R. China (2010)

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