Modeling the Endophytic Fungus Epicoccum nigrum Action to Fight the “Olive Knot” Disease Caused by Pseudomonas savastanoi pv. savastanoi (Psv) Bacteria in Olea europaea L. Trees

Cecilia Berardo, Iulia Martina Bulai (), Ezio Venturino (), Paula Baptista () and Teresa Gomes
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Cecilia Berardo: Università di Torino, Dipartimento di Matematica “Giuseppe Peano”
Iulia Martina Bulai: Università di Torino, Dipartimento di Matematica “Giuseppe Peano”
Ezio Venturino: Università di Torino, Dipartimento di Matematica “Giuseppe Peano”
Paula Baptista: School of Agriculture, Polytechnic Institute of Bragança, CIMO
Teresa Gomes: School of Agriculture, Polytechnic Institute of Bragança, CIMO

A chapter in Trends in Biomathematics: Modeling, Optimization and Computational Problems, 2018, pp 189-207 from Springer

Abstract: Abstract In this paper, a four-populations’ nonlinear mathematical model is introduced to analyze the interactions between two different microorganisms and the olive tree on which they reside. One such microorganism infects and ultimately kills the branches while the other one has a beneficial effect on the plant. We aim at devising a control strategy of the action of the pathogenic microorganism on the plant. To this end, the equilibrium points of the ecosystem are investigated. Feasibility and stability conditions of the equilibria are derived analytically. The numerical simulations show that the infection transmission rate and the disease-related mortality can deeply affect the spread of the disease. Some conditions for the disease eradication are investigated and suggestions are given for the implementation of suitable biological controls, such as pruning of the infected leaves.

Keywords: Endophytic Fungi; Olive Knot; Savastanoi; Infected Branches; Healthy Branches (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-91092-5_13

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DOI: 10.1007/978-3-319-91092-5_13

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