In: Bulletin of the Brazilian Mathematical Society, New Series, 2004, vol. 35, no. 1, p. 83-122
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In: IMA Journal of Applied Mathematics, 2004, vol. 69, no. 1, p. 93-109
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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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Mémoire de Certificate of Advanced Studies (CAS) : Université de Fribourg, 2017.
La formation en culture informationnelle permet aux étudiants, dans l’environnement d’abondance informationnelle actuelle, d’identifier des besoins en information, de localiser l’information, de l’évaluer et de l’utiliser de manière critique et éthique. Ces compétences sont le mieux acquises lors d’une formation complète. Le présent travail final se propose d’explorer les...
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In: Physical Review E, 2020, vol. 101, no. 1, p. 012120
The Fokker-Planck equation provides a complete statistical description of a particle undergoing random motion in a solvent. In the presence of Lorentz force due to an external magnetic field, the Fokker-Planck equation picks up a tensorial coefficient, which reflects the anisotropy of the particle's motion. This tensor, however, cannot be interpreted as a diffusion tensor; there are...
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In: New Journal of Physics, 2020, vol. 22, no. 9, p. 093057
We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in correlation between different velocity components in the stationary state. Integrating the velocity autocorrelation matrix, we obtain the diffusion matrix that...
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In: British Journal of Pharmacology, 2020, vol. 177, no. 4, p. 866–883
During angiogenesis, quiescent endothelial cells (ECs) are activated by various stimuli to form new blood vessels from pre‐existing ones in physiological and pathological conditions. Many research groups have shown that hydrogen sulfide (H2S), the newest member of the gasotransmitter family, acts as a proangiogenic factor. To date, very little is known about the regulatory role of...
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In: Advanced Materials Interfaces, 2020, vol. 7, no. 23, p. 2001227
Nanostructured silver stands out among other plasmonic materials because its optical losses are the lowest of all metals. However, nanostructured silver rapidly degrades under ambient conditions, preventing its direct use in most plasmonic applications. Here, a facile and robust method for the preparation of highly stable nanostructured silver morphologies is introduced. 3D nanostructured...
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In: Swiss Journal of Geosciences, 2017, vol. 110, no. 1, p. 233–251
For this pilot study we used recorded seismic events from the SED permanent network and data from a dedicated SNS network to improve the seismotectonic understanding of very weak seismicity in the vicinity of the Mont Terri underground laboratory. We combined field data on faults with microseismic events and modelling of stress and focal mechanisms. Eighty-six events with very low magnitudes...
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