Mathematical model of vector-borne plant disease with memory on the host and the vector

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Date

2016

Journal Title

Journal ISSN

Volume Title

Type

Article

Publisher

Natural Sciences Publishing

Series Info

Progress in Fractional Differentiation and Applications
2

Abstract

In this paper, we introduce a fractional order model of vector-borne plant diseases. Memory in both the host, and the vector population provides essential tools to understand the behavior of plant diseases. We use the presented model to study the effects of memory on the host and the vector. The fractional order derivative which is considered as the index of memory is described in the Caputo sense. � 2016 NSP.

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Scopus

Keywords

October University for Modern Sciences and Arts, جامعة أكتوبر للعلوم الحديثة والآداب, University of Modern Sciences and Arts, MSA University, Fractional calculus, Numerical solutions of fractional order models, Plant diseases models

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