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- W4288336218 abstract "This paper is focused on local and global stability of a fractional-order predator-prey model with habitat complexity constructed in the Caputo sense and corresponding discrete fractional-order system. Mathematical results like positivity and boundedness of the solutions in fractional-order model is presented. Conditions for local and global stability of different equilibrium points are proved. It is shown that there may exist fractional-order-dependent instability through Hopf bifurcation for both fractional-order and corresponding discrete systems. Dynamics of the discrete fractional-order model is more complex and depends on both step length and fractional-order. It shows Hopf bifurcation, flip bifurcation and more complex dynamics with respect to the step size. Several examples are presented to substantiate the analytical results." @default.
- W4288336218 created "2022-07-29" @default.
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- W4288336218 date "2019-06-04" @default.
- W4288336218 modified "2023-10-18" @default.
- W4288336218 title "Local and global dynamics of a fractional-order predator-prey system with habitat complexity and the corresponding discretized fractional-order system" @default.
- W4288336218 doi "https://doi.org/10.48550/arxiv.1906.01206" @default.
- W4288336218 hasPublicationYear "2019" @default.
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