A mathematical modeling approach to assess biological control of an orange tree disease. (August 2021)

• Record Type: Journal Article
• Authors: Bulai, Iulia Martina; Esteves, Ana Cristina; Lima, Fernanda; Venturino, Ezio
• Is Part Of: Applied mathematics letters. Volume 118(2021)
• Publication Date: 2021-08
• Subjects: Orange tree -- Guignardia citricarpa -- Trichoderma harzianum T1A -- Mathematical model; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107140
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: The model presented and investigated here describes the interaction between the orange tree and two different microorganisms, the pathogen fungus Guignardia citricarpa and the antagonist Trichoderma harzianum T1A . The pathogen-free point and coexistence are the only possible system's equilibria. The pathogen-free point bifurcates from coexistence when the antagonist strength is sufficiently high, but does not appear to be much dependent on the amount of beneficial fungus employed. This result represents a relevant guideline for the applied ecologist and for the farmers. Sensitivity analysis in suitable parameter spaces is performed numerically.