Abstract
One of the main obstacles in crop cultivation is the occurrence of fungal infections. Fungal spores can spread due to direct contact between susceptible hosts and infected hosts, which can be controlled using botanical fungicides. We constructed a mathematical model of the growth of logistics on the spread of plant diseases. From this model, we show the value of the Basic Reproduction Number (ℜ0) of plant diseases transmission. The value of ℜ0 is obtained by finding the largest eigenvalue of the next generation matrix. The results obtained show that when ℜ0 is greater than one (ℜ0 > 1), the endemic equilibrium point will be stable. However, if ℜ0 is less than one (ℜ0 < 1), the endemic equilibrium point is unstable. In addition, the results of this discussion indicate that using botanical fungicides can reduce the infected host population. We provide numerical simulations to describe the results of the analysis obtained.
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