Julia Sánchez Sanz (BCAM): On the computation of the eigenvalues of the Daphnia model |
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Csütörtök, 26. November 2015, 10:00 - 12:00
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Abstract. In the first part of this talk I present a pseudospectral method for computing numerically the eigenvalues of linear systems of Volterra functional equations (VFE) coupled to delay differential equations (DDE). The method consists of defining an abstract Cauchy problem equivalent to the VFE/DDE system through the infinitesimal generator of its solution operator, then discretize it using polynomial interpolation and differentiation, and finally compute the eigenvalues of the discrete system. In the second part of the talk I will introduce the Daphnia model, which is a realistic size structured consumer-resource model, and adapt the method for the computation of its eigenvalues. The adaptation of the method to the Daphnia model is a challenge from a numerical and a computational point of view due to distributed delays, size and survival probability given implicitly by the
solution of external ODE and state dependent maturation. Finally, I present some results where I compare and show consistency between computed eigenvalues and stability boundaries from the literature. |
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Hely : Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged |
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