文章基本信息

标题：Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population
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作者：Mahmoud Moustafa ; Mohd Hafiz Mohd ; Ahmad Izani Ismail 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-24
DOI：10.1186/s13662-020-2522-5
出版社：Hindawi Publishing Corporation
摘要：A fractional-order eco-epidemiological model with disease in the prey population is formulated and analyzed. Mathematical analysis and numerical simulations are performed to clarify the characteristics of the proposed fractional-order model. The existence, uniqueness, non-negativity and boundedness of the solutions are proved. The local and global asymptotic stability of all equilibrium points are investigated. Finally, numerical simulations are conducted to illustrate the analytical results. The occurrence of Hopf bifurcations and transcritical bifurcations for the fractional-order eco-epidemiological model are demonstrated. It is observed that the fractional order has a stabilization effect and it may help to control the coexistence between susceptible prey, infected prey and predator populations.
关键词：Eco-epidemiological model ; Predator–prey ; Fractional-order system ; Stability ; Bifurcations ; Numerical simulation ;