Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population

Advances in Difference Equations

article

Moustafa, Mahmoud¹  Mohd, Mohd Hafiz¹  Ismail, Ahmad Izani¹  Abdullah, Farah Aini¹ 

[1] School of Mathematical Sciences, Universiti Sains Malaysia

关键词: Eco-epidemiological model;    Predator–prey;    Fractional-order system;    Stability;    Bifurcations;    Numerical simulation;   

DOI  :  10.1186/s13662-020-2522-5

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY