Fractal-Fractional Caputo Maize Streak Virus Disease Model
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Date
2023-02
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Publisher
MDPI
Abstract
Maize is one of the most extensively produced cereals in the world. The maize streak
virus primarily infects maize but can also infect over 80 other grass species. Leafhoppers are the
primary vectors of the maize streak virus. When feeding on plants, susceptible vectors can acquire
the virus from infected plants, and infected vectors can transmit the virus to susceptible plants.
However, because maize is normally patchy and leafhoppers are mobile, leafhoppers will always
be foraging for food. Therefore, we want to look at how leafhoppers interact on maize farms using
Holling’s Type III functional response in a Caputo fractal-fractional derivative sense. We show that
the proposed model has unique positive solutions within a feasible region. We employed the Newton
polynomial scheme to numerically simulate the proposed model to illustrate the qualitative results
obtained. We also studied the relationship between the state variables and some epidemiological
factors captured as model parameters. We observed that the integer-order versions of the model
exaggerate the impact of the disease. We also observe that the increase in the leafhopper infestation
on maize fields has a devastating effect on the health of maize plants and the subsequent yield.
Furthermore, we noticed that varying the conversion rate of the infected leafhopper leads to a
crossover effect in the number of healthy maize after 82 days. We also show the dynamics of varying
the maize streak virus transmission rates. It indicates that when preventive measures are taken to
reduce the transmission rates, It will reduce the low-yielding effect of maize due to the maize streak
virus disease.
Description
This article is published by MDPI 2023 and is also available at https://doi.org/
10.3390/fractalfract7020189
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Citation
Ackora-Prah, J.; Seidu, B.; Okyere, E.; Asamoah, J.K.K. Fractal-Fractional Caputo Maize Streak Virus Disease Model. Fractal Fract. 2023, 7, 189.