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Mathematical Model of Sabina Chinensis Leaves Oil as Biocontrol for the Management of Fusarium Wilt in Tomato Plants

Timothy Ado Shamaki, PhD

Abstract

This study presents a comprehensive mathematical model incorporating compartmental dynamics of tomato development with the antifungal properties of Sabina chinensis leaves essential oil (EO) as a biocontrol agent. The model utilizes a system of ordinary differential equations to describe interactions among susceptible young plants, infected plants at various developmental stages, mature plants, pathogen population, and biocontrol agent concentration. We employ hyperbolic saturation kinetics to characterize the inhibition function of the essential oil, incorporating dose-response relationships established from chemical analysis of key antifungal constituents (α-elemol and γ-eudesmol). Numerical simulations indicate that biocontrol can significantly suppress disease progression, though pathogen eradication may be limited by continued benefit from infected host tissues. The model identifies a critical threshold for biocontrol concentration, offering a predictive metric for field application and informing integrated pest management practices in tomato cultivation.

Keywords

Fusarium oxysporumSabina chinensisMathematical ModelingBiocontrol KineticsODETomato Vascular WiltSustainable Agriculture.

References

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