Research Article

Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem

Volume: 11 Number: 1 May 24, 2016
Süleyman Demirel University Faculty of Arts and Science Journal of Science Cover
Süleyman Demirel University Faculty of Arts and Science Journal of Science
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Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem

Abstract

Kesirli mertebeden Hanta-virüs modeli olarak alınan lineer olmayan diferansiyel denklem sistemi 〖(_c^)D〗_(0,t)^α X(t)=(b-c)X(t)+bY(t)-(X^2 (t))/K-((1+aK)/K)X(t)Y(t) 〖(_c^)D〗_(0,t)^α Y(t)=-cY(t)-(Y^2 (t))/K-((1-aK)/K)X(t)Y(t) (1) şeklinde tanımlanmıştır. Burada 〖(_c^)D〗_(0,t)^α kesirli türev (Caputo) operatörünü göstermektedir. (1) sistemini ayrıklaştırmak 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. Anahtar kelimeler: Kesirli Diferansiyel Denklem, Hanta-virüs, Lojistik Diferansiyel Denklem. Logistic Differential Equations Obtained from Hanta-virus Model Abstract: Fractional-order Hanta-virüs Model as received nonlinear differential equation system is 〖(_c^)D〗_(0,t)^α X(t)=(b-c)X(t)+bY(t)-(X^2 (t))/K-((1+aK)/K)X(t)Y(t) 〖(_c^)D〗_(0,t)^α Y(t)=-cY(t)-(Y^2 (t))/K-((1-aK)/K)X(t)Y(t) (1) Here, 〖(_c^)D〗_(0,t)^α denotes the fractional derivative (Caputo) operator. The Grünwald-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. Key words: Fractional diferantial equation, Hanta-virus, Logistic Differential Equation.

Keywords

References

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Details

Primary Language

Turkish

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Zarife Gökçen Karadem This is me

Publication Date

May 24, 2016

Submission Date

May 24, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 11 Number: 1

IZ

https://izlik.org/JA29UD83WN

Cite

RIS / Bibtex
APA
Karadem, Z. G., & Yakıt Ongun, M. (2016). Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 11(1), 82-91. https://izlik.org/JA29UD83WN
AMA
1.Karadem ZG, Yakıt Ongun M. Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2016;11(1):82-91. https://izlik.org/JA29UD83WN
Chicago
Karadem, Zarife Gökçen, and Mevlüde Yakıt Ongun. 2016. “Hanta-Virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 11 (1): 82-91. https://izlik.org/JA29UD83WN.
EndNote
Karadem ZG, Yakıt Ongun M (May 1, 2016) Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem. Süleyman Demirel University Faculty of Arts and Science Journal of Science 11 1 82–91.
IEEE
[1]Z. G. Karadem and M. Yakıt Ongun, “Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 11, no. 1, pp. 82–91, May 2016, [Online]. Available: https://izlik.org/JA29UD83WN
ISNAD
Karadem, Zarife Gökçen - Yakıt Ongun, Mevlüde. “Hanta-Virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 11/1 (May 1, 2016): 82-91. https://izlik.org/JA29UD83WN.
JAMA
1.Karadem ZG, Yakıt Ongun M. Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2016;11:82–91.
MLA
Karadem, Zarife Gökçen, and Mevlüde Yakıt Ongun. “Hanta-Virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 11, no. 1, May 2016, pp. 82-91, https://izlik.org/JA29UD83WN.
Vancouver
1.Zarife Gökçen Karadem, Mevlüde Yakıt Ongun. Hanta-virüs Modelinden Elde Edilen Lojistik Diferansiyel Denklem. Süleyman Demirel University Faculty of Arts and Science Journal of Science [Internet]. 2016 May 1;11(1):82-91. Available from: https://izlik.org/JA29UD83WN