Eco-epidemiological model and analysis of potato leaf roll virus using fractional differential equation

المؤلفون المشاركون

Tilahun, Getachew Teshome
Muhammad, Tawfiq
Wolle, Getinet Alemayehu

المصدر

Arab Journal of Basic and Applied Sciences

العدد

المجلد 28، العدد 1 (31 ديسمبر/كانون الأول 2021)، ص ص. 41-50، 10ص.

الناشر

جامعة البحرين كلية العلوم

تاريخ النشر

2021-12-31

دولة النشر

البحرين

عدد الصفحات

10

التخصصات الرئيسية

العلوم الزراعية

الملخص EN

In this paper, mathematical models for transmission dynamics of Potato leaf roll virus using integer and fractional order differential equations are developed.

The models considered Potato as well as Vector populations.

The potato population is sub-divided as susceptible (Sp(t)) and infected (Ip(t)).

The vector population also sub-divided as susceptible (Sv(t)) and infected (Iv(t)).

Firstly, we proposed the integer order of potato leaf roll virus (PLRV) model and then we extend into fractional order due to the reason that fractional order possesses memory and other benefit in modeling of real-life phenomena.

Secondly, the qualitative behavior of the model including invariant region, positivity of future solution and equilibrium points are analyzed in both approaches.

Finally, numerical simulation is done to investigate the effect of each parameter on the control of the disease for both integer and fractional orders.

The results obtained from numerical simulation indicate that increasing elimination rate of infected potato and contact rate have a great contribution in combating potato leaf roll virus in the specified period of time.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Tilahun, Getachew Teshome& Wolle, Getinet Alemayehu& Muhammad, Tawfiq. 2021. Eco-epidemiological model and analysis of potato leaf roll virus using fractional differential equation. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.41-50.
https://search.emarefa.net/detail/BIM-1340609

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Tilahun, Getachew Teshome…[et al.]. Eco-epidemiological model and analysis of potato leaf roll virus using fractional differential equation. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.41-50.
https://search.emarefa.net/detail/BIM-1340609

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Tilahun, Getachew Teshome& Wolle, Getinet Alemayehu& Muhammad, Tawfiq. Eco-epidemiological model and analysis of potato leaf roll virus using fractional differential equation. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.41-50.
https://search.emarefa.net/detail/BIM-1340609

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references : p. 50

رقم السجل

BIM-1340609