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A Fractional-Order Model of Dengue Fever with Awareness Effect : Numerical Solutions and Asymptotic Stability Analysis |
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PP: 267-274 |
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doi:10.18576/pfda/080206
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Author(s) |
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Ahmed M. A. El-Sayed,
Anas A. M. Arafa,
Ibrahem M. Hanafy,
Mohammed I. Gouda,
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Abstract |
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| In this paper, we study the effect of awareness of population on the spreading of a fractional-order dengue fever model. We calculate the equilibrium points (free-disease point and endemic point) and study local asymptotic stability by using Routh–Hurwitz conditions. The global asymptotic stability by using LaSalle’s invariance principle has been studied. The stability analysis show the relation between reproductive ratio R0 and the local and global stability. To support our theoretical results, we solve this model by using Adams-type predictor-corrector method. The numerical results show the effect of awareness (represented by σ parameter in model), also it show that the fractional order model has smaller peak than integer order model which mean better fitting of data.
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