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Publications (26)


Article dans des revues


A New Model Making the Transition From Oil to Solar Energy. Séverine Bernard, Alain Pietrus, Watson SAINVIL. A New Model Making the Transition From Oil to Solar Energy. Contemporary mathematics, 2024, pp.1311-1330. ⟨10.37256/cm.5220244027⟩. ⟨hal-05121592⟩
A mathematical model for the study of HIV/AIDS transmission with PrEP coverage increase and parameter estimation using MCMC with a Bayesian approach. Erick Manuel Delgado Moya, Ranses Alfonso Rodriguez, Alain Pietrus. A mathematical model for the study of HIV/AIDS transmission with PrEP coverage increase and parameter estimation using MCMC with a Bayesian approach. Bulletin of Biomathematics, 2024, 2 (2), pp.218-244. ⟨10.59292/bulletinbiomath.2024010⟩. ⟨hal-05121571⟩


Article dans des revues


Control óptimo de orden fraccionario para un modelo de eficacia del tratamiento de la tuberculosis con presencia de VIH/Sida y diabetes. Erick Delgado-Moya, Alain Pietrus. Control óptimo de orden fraccionario para un modelo de eficacia del tratamiento de la tuberculosis con presencia de VIH/Sida y diabetes. Revista de Matematica: Teoria y Aplicaciones , 2022, 29 (2), pp.177-223. ⟨10.15517/rmta.v29i2.50888⟩. ⟨hal-05121597⟩
A Mathematical Model for HIV/AIDS Under Pre-Exposure and Post-Exposure Prophylaxis. Erick Manuel Delgado Moya, Diego Samuel Rodrigues, Alain Pietrus, Aymee Marrero Severo. A Mathematical Model for HIV/AIDS Under Pre-Exposure and Post-Exposure Prophylaxis. BIOMATH, 2022, 11 (2), pp.2208319. ⟨10.55630/j.biomath.2022.08.319⟩. ⟨hal-05121577⟩
Optimal control strategy for the effectiveness of TB treatment taking into account the influence of HIV/AIDS and diabetes. Erick Manuel Delgado Moya, Alain Pietrus, Sergio Muniz Oliva Filho. Optimal control strategy for the effectiveness of TB treatment taking into account the influence of HIV/AIDS and diabetes. Open Journal of Mathematical Sciences, 2022, 6 (1), pp.76-98. ⟨10.30538/oms2022.0179⟩. ⟨hal-05121590⟩


Article dans des revues


High order discrete approximations to Mayer's problems for linear systems. Alain Pietrus, Teresa Scarinci, Vladimir M. Veliov. Veliov. High order discrete approximations to Mayer's problems for linear systems. SIAM Journal on Control and Optimization, 2018, 56 (1), pp.102-119. ⟨hal-01848630⟩


Article dans des revues


An e-rumour model with control on the spreaders. Séverine Bernard, Gemayqzel Bouza, Alain Pietrus. An e-rumour model with control on the spreaders. Comptes rendus de l'Académie bulgare des Sciences, 2016, 69 (11), pp.1407-1414. ⟨hal-01443821⟩

Ouvrages scientifiques


CARIBBEAN ACADEMY OF SCIENCES 20 th GENERAL ASSEMBLY AND BIENNAL MEETING. Yves Mazabraud, Thomas Forissier, Alain Pietrus, Olivier Gros, Claire Anjou. ). CARIBBEAN ACADEMY OF SCIENCES 20 th GENERAL ASSEMBLY AND BIENNAL MEETING. 2016. ⟨hal-01413318v2⟩


Article dans des revues


An optimal control approach for e-rumor. Alain Pietrus, Gemayqzel Bouza, Séverine Bernard. An optimal control approach for e-rumor. Investigacion Operacionnal, 2015, 36 (2), pp.108-114. ⟨hal-01185666⟩
Local convergence of Exact and Inexact Newton's method for subanalytic variational inclusions. Burnet Steeve, Catherine CABUZEL, Alain Pietrus. Local convergence of Exact and Inexact Newton's method for subanalytic variational inclusions. Revista de Matematica: Teoria y Aplicaciones , 2015, 22 (1), pp.31-47. ⟨hal-01185667⟩


Article dans des revues


No differentiable perturbed Newton's method for functions with values in a cone. Alain Pietrus. No differentiable perturbed Newton's method for functions with values in a cone. Revista Investigacion Operacional, 2014, 35 (1), pp.58-67. ⟨hal-00924143⟩


Communications avec actes


The Euler Method for Linear Control Systems Revisited. Alain Pietrus, Vladimir Veliov, Josef Haunschmied. The Euler Method for Linear Control Systems Revisited. 9-th International Conference, LSSC 2013, 2013, Sozopol, Bulgaria. pp.88-95. ⟨hal-00998121⟩


Article dans des revues


local analysis of a cubically convergent method for variational inclusions. Alain Pietrus, Burnet Steeve. local analysis of a cubically convergent method for variational inclusions. Applicationes Mathematicae, 2011, 38, pp.183-191. ⟨hal-00595929⟩

Communications avec actes


Dengue model described by differential inclusions. Alain Pietrus, Jorge Barrios, Aymée Marrero, Hector de Arazoza, Gonzalo Joya. Dengue model described by differential inclusions. IWANN 2011, 2011, Malaga, Spain. pp.540-547. ⟨hal-00595930⟩


Communications avec actes


HIV model described by differential inclusions. Alain Pietrus, Hector Arazoza, Jorge Barrios, Aymée Marrero. HIV model described by differential inclusions. 10th International Work-Conference on Artificial Neural Network, IWANN 2009, 2009, Spain. pp.909-916. ⟨hal-00515730⟩


Article dans des revues


Local convergence of Newton's method for subanalytic variational inclusions. Alain Pietrus, Catherine CABUZEL. Local convergence of Newton's method for subanalytic variational inclusions. Positivity, 2008, 12, pp.523-533. ⟨hal-00515738⟩


Article dans des revues


Weakly coupled dynamical system and applications. Maïté Carrive, Alain Miranville, Alain Pietrus, J.M. Rakotoson. M. Rakotoson. Weakly coupled dynamical system and applications. Asymptotic Analysis, 2002, 30 (2), pp.161-185. ⟨10.3233/ASY-2002-502⟩. ⟨hal-00515750⟩


Article dans des revues


Remarques sur quelques problèmes semi-linéaires et elliptiques ayant des non-linéarités polynomiales. Alain Pietrus. Remarques sur quelques problèmes semi-linéaires et elliptiques ayant des non-linéarités polynomiales. Ricerche di matematica, 2001, L (1), pp.177-189. ⟨hal-00515752⟩
Equivalence of formulations and uniqueness in a T-set for quasi-linear equations with measures as data. Alain Pietrus, Alain Miranville, Jean-Michel Rakotoson. Equivalence of formulations and uniqueness in a T-set for quasi-linear equations with measures as data. Nonlinear Analysis: Theory, Methods and Applications, 2001, 46 (5), pp.609-627. ⟨10.1016/S0362-546X(00)00128-0⟩. ⟨hal-00515760⟩


Article dans des revues


The Cahn-Hilliard equation for deformable elastic continua. Alain Pietrus, Maïté Carrive, Alain Miranville. The Cahn-Hilliard equation for deformable elastic continua. Advances in Mathematical Sciences and Applications, 2000, 10 (2), pp.539-569. ⟨hal-00515765⟩
Does Newton's method converges uniformly in mild differentiability context?. Alain Pietrus. Does Newton's method converges uniformly in mild differentiability context?. Revista Colombiana de Matemáticas, 2000, 34 (2), pp.49-56. ⟨hal-00515762⟩
Generalized equations under mild differentiability conditions. Alain Pietrus. Generalized equations under mild differentiability conditions. RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2000, 94 (1), pp.15-18. ⟨hal-00515773⟩


Article dans des revues


Solving triangular algebraic systems by means of simultaneous iterations. Alain Pietrus. Solving triangular algebraic systems by means of simultaneous iterations. Numerical Algorithms, 1999, 20 (4), pp.353-368. ⟨hal-00515774⟩


Article dans des revues


Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Alain Miranville, Alain Pietrus, J.M. Rakotoson. M. Rakotoson. Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Asymptotic Analysis, 1998, 16 (3-4), pp.315-345. ⟨10.3233/ASY-1998-288⟩. ⟨hal-00515782⟩


Article dans des revues


A globally convergent method for solving nonlinear equations without the differentiability condition. Alain Pietrus. A globally convergent method for solving nonlinear equations without the differentiability condition. Numerical Algorithms, 1996, 13, pp.61-76. ⟨hal-00515786⟩


Article dans des revues


Résolution des systèmes triangulaires d'équations algébriques par la méthodes Sym-New. Alain Pietrus, Jean-Pierre Dedieu. Résolution des systèmes triangulaires d'équations algébriques par la méthodes Sym-New. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1993, 316, pp.499-502. ⟨hal-00515788⟩