Fractional vector-borne disease model with lifelong immunity under Caputo operator
Yazarlar (2)
Prof. Dr. Hasan Bulut Fırat Üniversitesi, Türkiye
Doç. Dr. Esin İLHAN Kırşehir Ahi Evran Üniversitesi, Türkiye
| Bildiri Türü | Tebliğ/Bildiri | Bildiri Dili | İngilizce |
| Bildiri Alt Türü | Özet Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum) | ||
| Bildiri Niteliği | Alanında Hakemli Uluslararası Kongre/Sempozyum | ||
| Kongre Adı | 5th International Conference on Computational Mathematics and Engineering Sciences | ||
| Kongre Tarihi | 08-06-2021 / | ||
| Basıldığı Ülke | Türkiye | Basıldığı Şehir | Van |
| Bildiri Linki | https://www.cmescongress.org/document/2021/Abstract_Book_2021.pdf | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| This study provides a comprehensive analysis of the vector-borne disease model with lifelong immunity by means of the Caputo fractional differential operator. We present the existence and uniqueness of the solution of the suggested fractional disease model by utilizing the fixed-point theorem. Some basic properties of the non-integer order model such as invariant region, the positiveness of the solution are given under the Caputo derivative. Moreover, analysis of the model shows that disease-free equilibrium is locally asymptotically stable. On the other hand, numerical results with various graphs are presented by taking advantage of different values of non-integer order α. Also, for the disease model under consideration, more detailed results are obtained thanks to the fractional-order derivative as can be seen from the solution curves in the graphs. |
| Anahtar Kelimeler |
