Browsing by Author "Robledo Veloso, Gonzalo"
Now showing items 1-14 of 14
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Córdova Lepe, Fernando; Valle, Rodrigo Del; Robledo Veloso, Gonzalo (2012)We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the remaining stock size after the last capture. The ...
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Córdova Lepe, Fernando; Del Valle, Rodrigo; Robledo Veloso, Gonzalo (2011)This work presents a new pulse vaccination strategy for a SIS (susceptibleinfectivesusceptible) disease in an endemic context. Here, given a time of vaccination, the instant of the next one is not predetermined, but it is ...
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Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (2011)A novel method to construct the fundamental matrix for a linear almost periodic system is proposed, provided that the diagonal terms satisfy an average separation condition and the off-diagonal coefficients are L∞- small. ...
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Castañeda González, Alvaro; Robledo Veloso, Gonzalo (American Institute of Mathematical Sciences, 2018)We construct a bijection between the solutions of a linear system of nonautonomous difference equations which is uniformly asymptotically stable and its unbounded perturbation. The key idea used to made this bijection is ...
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Castañeda, Álvaro; Robledo Veloso, Gonzalo (Academic Press Inc., 2015)© 2015 Elsevier Inc.We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a homeomorphism H between the solutions of a linear ODE system having ...
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Robledo Veloso, Gonzalo (2009)We apply basic tools of control theory to a chemostat model that describes the growth of one species of microorganisms that consume a limiting substrate. Under the assumption that available measurements of the model have ...
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Robledo Veloso, Gonzalo; Grognard, Frédéric; Gouzé, Jean-Luc (Elsevier, 2012)We propose a model of competition of n species in a chemostat, with constant input of some species. We mainly emphasize the case that can lead to coexistence in the chemostat in a non-trivial way, i.e., where the n−1 ...
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Córdova Lepe, Fernando; Robledo Veloso, Gonzalo; Pinto Jiménez, Manuel; González Olivares, Eduardo (2012)A new epidemic model of seasonal/cyclical pulse contagions of an infectious disease is introduced: a population with a controlled infectious disease is perturbed by a sequence of pulse infectious events arising from the ...
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Contreras Latorre, Guillermo Arturo (Universidad de Chile, 2012)Este trabajo presenta un modelo de competición entre dos especies microbianas en una cadena de chemostatos interconectados en serie. Si se considera que la exclusión competitiva se verifica, la especie de menor eficacia ...
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Amster, Pablo; Kuna, Mariel Paula; Robledo Veloso, Gonzalo (American Institute of Mathematical Sciences, 2019)Small non-autonomous perturbations around an equilibrium of a nonlinear delayed system are studied. Under appropriate assumptions, it is shown that the number of T-periodic solutions lying inside a bounded domain Ω ⊂ R N ...
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Castañeda, Álvaro; Robledo Veloso, Gonzalo; Monzón, Pablo (Cambridge University Press, 2020)We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we ...
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Mazenc, Frédéric; Niculescu, Silviu-Iulian; Robledo Veloso, Gonzalo (Elsevier, 2019)We study a nonlinear system of differential delay equations describing a model of a chain of two chemostats, where one contains two microbial species in competition for a single limiting nutrient and receives an external ...
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Mazenc, Frederic; Robledo Veloso, Gonzalo; Malisoff, Michael (American Institute of Mathematical Sciences, 2018)© 2018 American Institute of Mathematical Sciences. All rights reserved. We study a chemostat model with an arbitrary number of competing species, one substrate, and constant dilution rates. We allow delays in the growth ...
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Liz, Eduardo; Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo; Trofimchuk, Sergei; Tkachenko, Victor (2003)We prove that the well-known 3/2 stability condition established for the Wright equation (WE) still holds if the nonlinearity p(exp(-x)-1) in WE is replaced by a decreasing or unimodal smooth function f with f'(0) < 0 ...