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Dynamical analysis of a fractional order eco-epidemiological model with nonlinear incidence rate and prey refuge
Journal of Applied Mathematics and Computing ( IF 2.2 ) Pub Date : 2020-07-29 , DOI: 10.1007/s12190-020-01408-6
Mahmoud Moustafa , Mohd Hafiz Mohd , Ahmad Izani Ismail , Farah Aini Abdullah

In this paper, a fractional order eco-epidemiological model with nonlinear incidence rate is studied. The populations are divided into healthy prey, infected prey and predator. A prey refuge was introduced in the healthy prey population to make the model more realistic. Various qualitative properties including local and global stability analysis of equilibrium points are investigated. The theoretical results are verified by numerical simulations. The fractional order model is shown to have rich dynamical behavior including bistability phenomena, supercritical Hopf bifurcation, subcritical Hopf bifurcation and transcritical bifurcation.



中文翻译:

具有非线性发生率和避难所的分数阶生态流行病模型的动力学分析。

本文研究了具有非线性发生率的分数阶生态流行病学模型。种群分为健康猎物,感染猎物和捕食者。在健康的猎物种群中引入了一个猎物避难所,以使模型更加逼真。研究了各种定性性质,包括平衡点的局部和全局稳定性分析。通过数值模拟验证了理论结果。分数阶模型显示出具有丰富的动力学行为,包括双稳态现象,超临界霍普夫分叉,亚临界霍普夫分叉和跨临界分叉。

更新日期:2020-07-30
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