In: Bulletin of the Brazilian Mathematical Society, New Series, 2004, vol. 35, no. 1, p. 83-122
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In: Journal of Mathematical Analysis and Applications, 2010, p. -
In this paper we consider the two species competitive delay plankton allelopathy stimulatory model system. We show the existence and uniqueness of the solution of the deterministic model. Moreover, we study the persistence of the model and the stability properties of its equilibrium points. We illustrate the theoretical results by some numerical simulations.
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In: Journal of Scientific Computing, 2018, vol. 75, no. 3, p. 1757-1775
A method for solving delay Volterra integro-differential equations is introduced. It is based on two applications of linear barycentric rational interpolation, barycentric rational quadrature and barycentric rational finite differences. Its zero–stability and convergence are studied. Numerical tests demonstrate the excellent agreement of our implementation with the predicted convergence...
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In: BIT Numerical Mathematics, 2013, vol. 53, no. 4, p. 827-840
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In: Annales Henri Poincaré, 2007, vol. 8, no. 3, p. 569-596
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In: Letters in Mathematical Physics, 2005, vol. 72, no. 2, p. 153-163
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In: Archiv der Mathematik, 2006, vol. 87, no. 3, p. 217-226
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In: Annali di Matematica Pura ed Applicata (1923 -), 2020, vol. 199, no. 1, p. 147–186
We prove a Koebe distortion theorem for the average derivative of a quasiconformal mapping between domains in the sub-Riemannian Heisenberg group H1. Several auxiliary properties of quasiconformal mappings between subdomains of H1 are proven, including BMO estimates for the logarithm of the Jacobian. Applications of the Koebe theorem include diameter bounds for images of curves, comparison of...
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In: Algorithmica, 2007, vol. 47, no. 3, p. 217-238
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In: Mathematische Annalen, 2019, vol. 373, no. 1, p. 237–251
The goal of this note is to affirm a local version of conjecture of Nisse–Sottile [19] on higher convexity of complements of tropical varieties, while providing a family of counter-examples for the global Nisse–Sottle conjecture in any codimension and dimension higher than one. Moreover, it is shown that, surprisingly, this family also provides a family of counter-examples for the...
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