Dynamical of curative and preventive treatments in a two-stage plant disease model of fractional order

A.M.A. El-Sayed, S.Z. Rida and Y.A. Gaber

Chaos, Solitons & Fractals, 2020, vol. 137, issue C

Abstract: Plants are really important for the planet and for all living things. Plants absorb carbon dioxide and release oxygen from their leaves, which humans and other animals need to breathe. Living things need plants to live - they eat them and live on them. Therefore, understanding plant disease dynamics is important as it can provide insightful knowledge on plant disease transmission. So, in this work, we introduce the fractional order model for the plant diseases in a two-stage infection. We show that this model possesses non-negative solutions as desired in any population dynamics. We discuss the stability of a disease free and an endemic equilibrium for the proposed model. We carry out numerical solutions to demonstrate the theoretical analysis by applying the fractional Euler method (FEM).

Keywords: Plant disease; Fractional calculus; Caputo fractional derivative; Stability analysis; Fractional Euler method (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:137:y:2020:i:c:s0960077920302794

DOI: 10.1016/j.chaos.2020.109879

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