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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

In: Trends in Biomathematics: Modeling, Optimization and Computational Problems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Cecilia Berardo & Iulia Martina Bulai & Ezio Venturino & Paula Baptista & Teresa Gomes, 2018. "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," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems, pages 189-207, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-91092-5_13
    DOI: 10.1007/978-3-319-91092-5_13
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