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.
Digital Object Identifier (DOI)
Zagloul Rida, Saad; Khalil, Mohamed; Albadrey Hosham, Hany; and Gadellah, Soheir
"Mathematical Model of Vector-Borne Plant Disease with Memory on the Host and the Vector,"
Progress in Fractional Differentiation & Applications: Vol. 2
, Article 5.
Available at: https://dc.naturalspublishing.com/pfda/vol2/iss4/5