Abstract
In the last few decades many authors pointed out that derivatives and integrals of non-integer order are very suitable for the description of properties of various real problems. It has been shown that fractional-order models are more adequate than previously used integer-order models. In this work, we aim to investigate of different features of the plant virus model with its fractional order equivalent. We present an application for reproduction number for these kind of epidemic models with next generation matrix method. Also, existence and uniqueness of solutions have been showed for this fractional order system. Finally we present some figures according to the given numerical scheme.
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