Speaker
Description
"In this talk I will present a plant epidemic model accounting for interactions between some beneficial phyllosphere organisms and a phytopathogen fungus by means of a four dimensional Ordinary Differential Equation (ODE) system. The system possesses five equilibria that are suitably analyzed for feasibility and stability. Numerical simulations show potentially interesting bistable behavior, exhibited by three different pairs of equilibria, as well as persistent oscillations in some cases [1]. All three pairs of bistable equilibrium points, for the four dimensional model, have been analyzed by approximating the basins of stability, plus the bistable case for the three dimensional model where the beneficial phyllosphere organisms is not yet inserted in the olive system [2]. Knowing more about the bistable dynamics of the system allows the possible assessment of human intervention for control of the disease.
[1] P. Baptista, I. M. Bulai, T. Gomes, E. Venturino. Modeling the interactions among phythopatogens and phyllosphere microorganisms for the biological disease control of Olea europaea L.. Mathematical Biosciences, 2018.
[2] I. M. Bulai, M. Salvia. Approximation of basins of attraction for bistable dynamical system for olive disease control. To appear in Applied Numerical Mathematics, 2023.
Joint work with: P. Baptista, T. Gomes, M. Salvia and E. Venturino"
