Éditeur(s) : HAL CCSD Oxford University Press (OUP)
Résumé : International audience
ISSN: 0265-0754

hal-01683262
https://hal.univ-antilles.fr/hal-01683262
DOI : 10.1093/imamci/dnl028

Éditeur(s) : HAL CCSD Taylor & Francis
Résumé : International audience
ISSN: 0233-1934

hal-00816722
https://hal.univ-antilles.fr/hal-00816722
DOI : 10.1080/02331939408843968

Éditeur(s) : HAL CCSD
Résumé : International audience
—Managing spatial reservoirs of malaria infection plays a crucial role in effective disease control. In this paper, a reservoir of infection refers to one or more interconnected subpopulations that sustain the epidemic at the level of the metapopulation to which applying a (linear) control strategy suffices to eradicate the disease in the whole system. We propose a numerical method to explain the steps for identifying reservoirs of malaria infection within n connected regions with the explicit movement of human population from the previous theoretical results in order to design an efficient computational tool. Furthermore, we determine the minimal percentage (critical vaccination fraction) of susceptible individuals in the reservoirs that should be protected to eliminate malaria. The costs and cost-effectiveness of malaria control interventions were analysed considering two strategies of control. (i) protecting the minimal fraction of susceptible individual; (ii) protecting any fraction greater than the minimal fraction. Cost-effectiveness analysis shows that the less cost and more effective strategy is to vaccinate (or protect) the minimal fraction of susceptible human in the reservoir of infection to halt outbreak. A numerical example provides insight into the efficiency of this approach.
IAENG International Journal of Applied Mathematics

Droits : info:eu-repo/semantics/OpenAccess
hal-01683800
https://hal.univ-antilles.fr/hal-01683800
https://hal.univ-antilles.fr/hal-01683800/document
https://hal.univ-antilles.fr/hal-01683800/file/ZongoDorvilleGouba28Janvier2017.pdf

Éditeur(s) : HAL CCSD
Résumé : International audience
We consider in this paper a cascade system of two parabolic equations, governed by a quasi-linear nonlocal operator. We study the null controllability of this problem with a control subject to constraints. We begin by proving the existence of a unique control of minimal norm for the linear problem. We combine these results with a fixed-point theorem to conclude.
ECC15
Linz, Austria

hal-01679115
https://hal.archives-ouvertes.fr/hal-01679115
DOI : 10.1109/ECC.2015.7330608

Éditeur(s) : HAL CCSD Society for Industrial and Applied Mathematics
Résumé : International audience
We present iterative methods for finding the critical points and/or the minima of extended real valued functions of the form $phi = psi+ g-h$, where $psi$ is a differentiable function and g and h are convex, proper, and lower semicontinuous. The underlying idea relies upon the discretization of a first order dissipative dynamical system which allows us to preserve the local feature and to obtain some convergence results. The main theorems not only recover known convergence results in this field but also provide a theoretical basis for the development of new iterative methods.
ISSN: 1052-6234

hal-00779987
https://hal.univ-antilles.fr/hal-00779987
DOI : 10.1137/060655183

Éditeur(s) : HAL CCSD EDP Sciences
Résumé : International audience
In the setting of a real Hilbert space H, we investigate the asymptotic behavior, as time t goes to infinity, of trajectories of second-order damped evolution equations, which are governed by the sum of the gradient operator of a convex differentiable potential function , and a maximal monotone operator which is assumed to be cocoercive. Under a sharp condition involving the viscous and the cocoercive parameters, it is proved that each trajectory weakly converges to an equilibrium. Passing from weak to strong convergence is obtained by introducing an asymptotically vanishing Tikhonov-like regularizing term. As special cases, we recover the asymptotic analysis of the heavy ball with friction dynamic attached to a convex potential, the second-order gradient-projection dynamic, and the second-order dynamic governed by the Yosida approximation of a general maximal monotone operator. The breadth and flexibility of the proposed framework is illustrated through applications in the areas of constrained optimization, dynamical approach to Nash equilibria for noncooperative games, and asymptotic stabilization in the case of a continuum of equilibria.
ISSN: 1292-8119

hal-00803774
https://hal.archives-ouvertes.fr/hal-00803774
https://hal.archives-ouvertes.fr/hal-00803774/document
https://hal.archives-ouvertes.fr/hal-00803774/file/ATTOUCH-MAINGE-09-04-2010-COCV.pdf
DOI : 10.1051/cocv/2010024

Éditeur(s) : HAL CCSD
Résumé : International audience
Abstract In this paper we prove the convergence of the approximate proximal method for DC functions proposed by Sun et al [6]. Our analysis also permits to treat the exact method. We then propose an interesting result in the case where the second component of the DC function is differentiable and provide some computational experiences which proved the efficiency of our method.
Journal of Computational Mathematics,

hal-00780885
https://hal.univ-antilles.fr/hal-00780885

Éditeur(s) : HAL CCSD Bulgarian Academy of Sciences
Résumé : International audience
Using monotone bifunctions, we introduce a recession concept for general equilibrium problems relying on a variational convergence notion. The interesting purpose is to extend some results of P. L. Lions on variational problems. In the process we generalize some results by H. Brezis and H. Attouch relative to the convergence of the resolvents associated with maximal monotone operators.
Serdica Mathematical Journal

Droits : info:eu-repo/semantics/OpenAccess
hal-00776626
https://hal.univ-antilles.fr/hal-00776626
https://hal.univ-antilles.fr/hal-00776626/document
https://hal.univ-antilles.fr/hal-00776626/file/sjm-vol26-num3-2000-207p-220p.pdf

Éditeur(s) : HAL CCSD Springer
Résumé : International audience
In this chapter, the aim is the solving of variational inclusions fo the form 0_in f(x)+F(x), where f is a subanalytic and locally Lipschitz function, F is a set-valued map with closed graph. The methods are developped using the metric regularity of (f+F) or the Aubin property of (f+F)^{-1}, and often lead to a superlinear convergence.
Handbook of optimization, from classical to modern approach

ISBN : 978-3-642-30503-0
hal-00757674
https://hal.archives-ouvertes.fr/hal-00757674
DOI : 10.1007/978-3-642-30504-7-38

Éditeur(s) : HAL CCSD
Résumé : International audience
We show that the properties of dense subdifferentiability and of trustworthiness are equivalent for any subdifferential satisfying a small set of natural axioms. The proof relies on a remarkable property of the subdifferential of the inf-convolution of two (non necessarily convex) functions. We also show the equivalence of the dense subdifferentiability property with other basic properties of subdifferentials such as a weak∗ Lipschitz Separation property, a strong Compact Separation property and a Minimal property for the analytic approximate subdifferential of Ioffe.
Serdica. Mathematical Journal

hal-00694603
https://hal.archives-ouvertes.fr/hal-00694603

Éditeur(s) : HAL CCSD Paris, Masson et Cie
Résumé : National audience
Decreased frequency of pulmonary exacerbations, mainly related to immunomodulatory effects of macrolide antibiotics, has been demonstrated in bronchiectasis and chronic obstructive pulmonary diseases (COPD). Due to its tolerance, azithromycin is the antibiotic of choice for maintenance therapy at the dose of 250 mg per day or 500 mg × 3 per week (for body weight >55 kg). Maintenance therapy with macrolide could be proposed in selected patients with bronchiectasis or COPD with more than 3 acute exacerbations in the previous year or decreased lung function despite compliance with optimum treatment. The risk of sudden cardiac death with azithromycin is rare and controversial. It should be avoided in patients with a high baseline risk of cardiovascular disease, QT>450 msec, pulse rate>100 bpm and potential drug interactions, particularly those known to cause QT prolongation. It is recommended to search for hearing deficit (audiometry) and sputum culture positive for mycobacteria. Patients must also be aware that it can rapidly lead to macrolide resistance in commensal or pathogenic flora. Follow-up evaluation every 3 month can be proposed with medical history (hearing deficit) and electrocardiography. After one year, the treatment should be stopped in the absence of reduction in the frequency of exacerbations.
Points essentielsLes macrolides administrés au long cours permettent, grâce en partie à leurs propriétés anti-inflammatoires, de diminuer la fréquence des exacerbations dans la DDB et la BPCO.Du fait de sa tolérance, l’azithromycine est le macrolide de choix, pouvant être utilisé à la dose de 250 mg/j ou 500 mg 3 fois par semaine chez les patients de plus de 55 kg.Un traitement par macrolides au long cours pourrait être proposé à des patients atteints de DDB ou de BPCO ayant eu plus de 3 exacerbations l’année précédente ou ayant une dégradation de leur fonction respiratoire malgré un traitement de fond bien conduit.Du fait d’un risque rare et controversé de mort subite d’origine cardiaque, il ne doit pas être proposé en cas de pathologie cardiovasculaire évoluée, d’intervalle QT > 450 ms, de traitement pouvant allonger l’intervalle QT, de tachycardie > 100/min.Il est recommandé de s’assurer de l’absence de troubles auditifs (audiogramme) et de mycobactérie atypique dans les cultures des expectorations. Les patients doivent aussi être informés du risque d’apparition de résistance aux macrolides de la flore commensale et pathogène.Une surveillance clinique, avec en particulier la recherche de troubles auditifs et électrocardiographique, peut être proposée tous les 3 mois. L’absence de diminution de la fréquence des exacerbations, lors du bilan annuel, justifie l’arrêt du traitement.
ISSN: 0032-7867

hal-01073027
https://hal-univ-rennes1.archives-ouvertes.fr/hal-01073027
DOI : 10.1016/j.lpm.2013.08.006
PUBMED : 24631048

Éditeur(s) : HAL CCSD
Résumé : International audience
We consider a second-order differential system with Hessian-driven damping . An interesting property of this system is that, after introduction of an auxiliary variable y , it can be equivalently written as a first-order system in time and space. This allows us to extend the analysis to the case of a convex lower semicontinuous potential and so to introduce constraints in the model. When considering the indicator function of a closed convex set, the subdifferential operator takes account of the contact forces. In this setting, by playing with the geometrical damping parameter, we can describe nonelastic shock laws with restitution coefficient. Taking advantage of the infinite dimensional framework, we introduce a nonlinear hyperbolic PDE describing a damped oscillating system with obstacle. The system is dissipative; in the convex case each trajectory weakly converges to a minimizer of the global potential energy function. Exponential stabilization is obtained under strong convexity assumptions.
Differential Equations & Applications

hal-00803214
https://hal.archives-ouvertes.fr/hal-00803214
https://hal.archives-ouvertes.fr/hal-00803214/document
https://hal.archives-ouvertes.fr/hal-00803214/file/Attouch-Mainge-Redont-30August2011.pdf

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
ISSN: 0362-546X

hal-00699203
https://hal.archives-ouvertes.fr/hal-00699203

Éditeur(s) : HAL CCSD Society for Industrial and Applied Mathematics
Résumé : International audience
ISSN: 0363-0129

hal-01147931
https://hal.archives-ouvertes.fr/hal-01147931

Résumé : L'année 2001 a d'abord été une année de résultats originaux et importants. Les exemples sont nombreux, et j'ai plaisir à en énumérer quelques-uns pour illustrer la variété de nos activités : la détection d'avalanches sous-marines de sédiments formant les canyons profonds des océans, l'observation détaillée des massifs de coraux froids par 400 mètres de profondeur, la mise au point d'un outil léger de sismique à trois dimensions, le suivi du comportement des espadons de l'océan Indien, l'effort d'accompagnement des mesures de restriction de la pêche au cabillaud en mer du Nord, la mise au point de chaluts sélectifs pour la pêche à la langoustine, la description du comportement d'optimisation énergétique du bar, la quantification de la variabilité génétique des crevettes de Nouvelle-Calédonie, des recommandations sur la densité des élevages de mollusques dans l'étang de Thau, la mise au point d'outils européens de caractérisation de la qualité des masses d'eau le long du littoral. l'accord sur une méthodologie de surveillance des toxines diarrhéiques, la mise en route du système d'information halieutique, le doublement du flux de données in s itu traitées en temps réel, la découverte de nouveaux genres bactériens dans les sources hydrothermales." [OCR NON CONTRÔLE]

Droits : info:eu-repo/semantics/openAccess
http://archimer.ifremer.fr/doc/2001/rapport-5297.PDF
http://archimer.ifremer.fr/doc/00000/5297/

Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
Based on the very recent work by Censor-Gibali-Reich (http://arxiv.org/abs/1009.3780), we propose an extension of their new variational problem (Split Variational Inequality Problem) to monotone variational inclusions. Relying on the Krasnosel'skii-Mann Theorem for averaged operators, we analyze an algorithm for solving new split monotone inclusions under weaker conditions. Our weak convergence results improve and develop previously discussed Split Variational Inequality Problems, feasibility problems and related problems and algorithms.
ISSN: 0022-3239

hal-00776651
https://hal.univ-antilles.fr/hal-00776651
DOI : 10.1007/s10957-011-9814-6

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
We use the low-regret notion of Lions for the control of a class of singular distributed systems: the ill-posed problems. A regularization approach is applied to the backwards heat equation, and we obtain a problem of incomplete data, for which the method of Nakoulima et al. is developed. Passing to the limit, a singular optimality system is obtained for the low-regret control of the original problem without any Slater hypothesis.
ISSN: 0893-9659

hal-00763938
https://hal.univ-antilles.fr/hal-00763938
DOI : 10.1016/j.aml.2003.04.006

Éditeur(s) : HAL CCSD SpringerOpen
Résumé : International audience
We introduce methods which seem to be a new and promising tool in hierarchical fixed-point problems. The goal of this note is to analyze the convergence properties of these new types of approximating methods for fixed-point problems. The limit attained by these curves is the solution of the general variational inequality,, where denotes the normal cone to the set of fixed point of the original nonexpansive mapping and a suitable nonexpansive mapping criterion. The link with other approximation schemes in this field is also made.
ISSN: 1687-1820

hal-00780237
https://hal.univ-antilles.fr/hal-00780237
https://hal.univ-antilles.fr/hal-00780237/document
https://hal.univ-antilles.fr/hal-00780237/file/1687-1812-2006-95453.pdf
DOI : 10.1155/FPTA/2006/95453

Éditeur(s) : Blackwell science
Résumé : Peneid shrimp are commonly reared in clear-water aquaria or tanks for short-term studies of 4-6 weeks during controlled experiments, such as nutrition studies to estimate dietary nutrient requirements. Recently, in line with the genetic program at Centre Oceanologique du Pacifique (COP), experimental clear-water facilities were tested for the first time over a longer rearing period. Environmental conditions used to maintain animal growth in clear-water system using a well-balanced diet were defined. After 100 days, shrimp growth rates tended to decrease and only by adjusting the diet could shrimp complete their life cycle and reach maturation size of around 40 g. This paper presents information on stocking density, diet quality and husbandry linked to reproduction that must be considered to successfully rear animals from PL's to breeder size in clear water. By following these protocols a minimum amount of breeders can be used to meet production goals. Moreover, by isolating a small group of individuals, genetic diversity can be preserved, thereby allowing specific crosses for selective breeding purposes. Length of trials, amount of feed, composition of feed, growth performances and maturation success are reported and should encourage further studies to optimize rearing conditions in clear-water rearing.
Aquaculture Research (1355-557X) (Blackwell science), 2004-11 , Vol. 35 , N. 13 , P. 1244-1252

Droits : 2004 Blackwell Synergy
http://archimer.ifremer.fr/doc/2004/publication-619.pdf
DOI:10.1111/j.1365-2109.2004.01145.x
http://archimer.ifremer.fr/doc/00000/619/

Éditeur(s) : Elsevier Sci Ltd
Résumé : Environmental management decisions based upon indicators are the end point of a process involving stakeholders and scientists. These steps should be explicit and follow a chronology. This paper presents a general framework for the design and use of management-oriented indicators, integrating management questions and performance criteria. We first examined the desirable characteristics of indicators aimed at providing decision-support for marine environmental management. Ideally, one should select the indicator that guarantees a safe and unambiguous decision leading to the appropriate measures in terms of regulation, remediation or control. In the present study, indicators are assessed according to two criteria: relevance and effectiveness. Relevance encompasses sensitivity and the existence of quantitative reference values, thereby allowing the selection of potential indicators. Effectiveness is the ability of the indicator to reach its predefined targets based on optimal (or at least improved) data collection protocols. The framework is illustrated by applying it to the European Water Framework Directive and to the Marine Protected Area management contexts. (C) 2010 Elsevier Ltd. All rights reserved.
Ocean & Coastal Management (0964-5691) (Elsevier Sci Ltd), 2011-01 , Vol. 54 , N. 1 , P. 84-92

Droits : 2010 Elsevier Ltd All rights reserved.
http://archimer.ifremer.fr/doc/00032/14331/11638.pdf
DOI:10.1016/j.ocecoaman.2010.10.037
http://archimer.ifremer.fr/doc/00032/14331/