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Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem

Logistic Differential Equations Obtained from Hanta-virus Model

Journal Name:

  • Süleyman Demirel Üniversitesi Fen Dergisi

Publication Year:

  • 2016

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Fractional-order Hanta-virüs Model as received nonlinear differential equation system is cDsxt) = (b_ c)x(t) + b Y(t) —Kr _ \nr~) x(tw) Y2(t) (l_aK\ _ (1) cDStY(t) = - cY(t) ±L-[——)x(t)Y(t) Here, cD"t denotes the fractional derivative (Caputo) operator. The Griinwald-Letnikov operator and Nonstandart Finite Diference (SOSF) schemes will be applied to discretize the fractional-order nonlinear system (1). Fractional order logistic equation optioned with some adjustments in (1) system. The findings will be supported with the help of some of the graphs and tables.
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Abstract (Original Language): 
Kesirli mertebeden Hanta-virüs modeli olarak alınan lineer olmayan diferansiyel denklem sistemi cD£tX(t) = (b- c)X(t) + bY(t) Ki _ (__) X(t)Y(t) Y2(t) (l_aK\ _ (1) cDStY(t) = - cY(t) ±L-(——)x(t)Y(t) şeklinde tanımlanmıştır. Burada cD"t kesirli türev (Caputo) operatörünü göstermektedir. (1) sistemini aynklaştırmak için Grünwald-Letnikov türev operatörü ve Standart Olmayan Sonlu Farklar (SOSF) Yöntemi uygulanacaktır. (1) sistemindeki bazı düzenlemeler ile kesirli mertebeden Lojistik denklem elde edilip, bulgular bazı grafikler ve tablolar yardımı ile desteklenecektir.
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REFERENCES

References: 

[1] Abramson G., Kenkre V.M., 2002. Spatio-temporal patterns in the Hantavirus infected, Physcial Rewiew E, 66, 011912.
[2] Mickens,R.E., 2007. Calculation of denominator functions for nonstandart finite difference schemes for differential equations satisfying a positivity condition, Numerical Methods for Partial Differential Equations, 23 (3) : 672-691.
[3] Chen M., Clemence D.P.,2006. Stability properties of a nonstandard finite difference scheme for a hantavirus epidemic model, Journal of Difference Equations and Applications, 12 (12), 1243¬1256.
[4] Chen M., Clemence D.P., 2007. Analysis of and numerical schemes for a mouse population model
in Hantavirus epidemics, Journal of Difference Equations and Applications, 12 (9), 887-899. [5] Abdullah F.A.,2011, Simulations of the spread of the Hantavirus using fractional differential
equations, Matematika, 27, 149-158 [6] Matignon D.,1996, Stability results for fractional differential equations with applications to control
processing. Computational Engineering in Systems Applications, 2: 817-823. [7] Lubich CH.,1986. Discretized Fractional Calculus, SIAM Journal on Mathematical Analysis (SIMA)
17 (3): 704-719.
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adem ve M. Yakıt Ongun
[8] Podlubny I., 1999. Fractional Differential Equations. An Introduction to Fractional Derivatives,
Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications. Academic Press, San Diego-Boston-New York-London-Tokyo-Toronto, p.368.

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