Journal articles - Book chapters
Journal articles - Book chapters
37. G. Souleiman, N. Verdière, A. Berred, A mathematical model to investigate the impact of climate change on forest ecosystems and a strategy for its regeneration (soumis).
2024
36. N. Verdière, Identifiability in networks of nonlinear dynamical systems with linear and/or nonlinear couplings, Franklin Open, Volume 9, 2024, 100195, ISSN 2773-1863, https://doi.org/10.1016/j.fraope.2024.100195. (https://www.sciencedirect.com/science/article/pii/S2773186324001257)
35. C. Jauberthie, N. Verdière and L. Travé-Massuyès, Functional Diagnosability of Possibly Uncertain Systems, in IEEE Control Systems Letters, 2024, doi: 10.1109/LCSYS.2024.3456230.
2023
34. N. Verdière, E. Dubos-Paillard, V. Lanza, D. Provitolo, R. Charrier, C. Bertelle, A. Berred, A. Tricot, M. Aziz-Alaoui, Study of the Effect of Rescuers and the Use of a Massive Alarm in a Population in a Disaster Situation. Sustainability. 2023; 15 (12):9474; https://doi.org/10.3390/su15129474.
33. V. Lanza, D. Provitolo, N. Verdière, C. Bertelle, E. Dubos-Paillard, R. Charrier, O. Navarro, M. Aziz-Alaoui, I. Mikiela, A. H. Boudoukha, A. Tricot, A. Lindenmann, A. Berred, S. Haule, and E. Tric. Modeling and analyze of the impact of risk culture on the human behavior during a catastrophic event. Sustainability 2023, 15(14), 11063; https://doi.org/10.3390/su151411063.
32. S. Orange, N. Verdière, L. Naudin, An a priori study for the reconstruction of some variables of interest in nonlinear complex networks with an application in neuroscience, Chaos, Solitons and Fractals, 2023, 113644.
2022
31. N. Verdière, S. Orange. Applications of Computer Algebra to Parameter Analysis of Dynamical Systems. In Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation (ISSAC '22). Association for Computing Machinery, New York, NY, USA, 33–38. https://doi.org/10.1145/3476446.3535473.
30. I. Mikiela, V. Lanza, N. Verdière, D. Provitolo. Optimal strategies to control human behaviors during a catastrophic event. AIMS Mathematics, 2022, 7(10): 18450-18466. doi: 10.3934/math.20221015.
29. C. Jauberthie, N. Verdière, Bounded-Error Parameter Estimation Using Integro-Differential Equations for Hindmarsh–Rose Model. Algorithms,15, 179. 2022, https://doi.org/10.3390/a15060179.
28. D. Provitolo, A. Tricot, A. Schleyer-Lindermann, A-H. Boudoukla, N Verdière, S. Haule, E. Dubos-Paillard, V. Lanzan R. Charrier, C. Bertelle, O. Navarro, M. Lago-Marques, P. Ranarimahefa, A. Berred, M. Aziz-Alaoui, P. Mallet, S. Perez, E. Tric. Saisir les comportements en situation de catastrophes : proposition d’une démarche méthodologique immersive. Cybergeo: European Journal of Geography, Espace, Société, Territoire,Article 1030, 26 août 2022.
2021
27. N. Verdière, O. Navarro, A. Naud, A. Berred, D. Provitolo, Towards Parameter Identification of a Behavioral Model from a Virtual Reality Experiment, Mathematics 2021, 9(24), 3175; https://doi.org/10.3390/math9243175 (registering DOI) - 09 Dec 2021. Special Issue Statistical Methods in Data Mining.
2020
26. N. Verdière, C. Jauberthie, Parameter Estimation Procedure Based on Input-Output Integro-Differential Polynomials. Application to the Hindmarsh-Rose Model. Proceeding dans ECC 2020, Saint Petersburg, Russia, May 12-15, 2020.
25. I. Mikiela, V. Lanza, N.Verdière, Optimal control in a mathematical model of human behavior during a catastrophe. Proceeding dans ECC 2020, Saint Petersburg, Russia, May 12-15, 2020.
24. N. Verdière, D. Manceau, S. Zhu, L. Denis-Vidal, Inverse problem for a coupling model of
reaction-diffusion and ordinary differential equations systems. Application to an epidemiological model, Applied Mathematics and Computation,Vol. 375, 2020.
23. G. Cantin, N. Verdière, Networks of forest ecosystems: Mathematical modeling of their biotic pump mechanism and resilience to certain patch deforestation, Ecological Complexity,Vol 43, 2020.
2019
22. G. Cantin, N. Verdiere, V. Lanza. Optimal control of panic spreading in complex networks of dynamical systems for a behavioural model. Proceedings of ICCS, Faro, Portugal, pp. 262-275, 2019.
21. V. Lanza, R. Charrier, N. Verdière, E. Dubos-Paillard, O. Navarro, D. Provitolo, C. Bertelle, G. Cantin et M.A. Aziz-Alaoui, Mathematical and geographical approach in the modeling of a network of human behavioral systems, proceeding dans XTerM2019, 26-28 juin, 2019, Le Havre, France.
20. G. Cantin, A. A. Alaoui, N. Verdière, Large time dynamics in complex networks of reaction-diffusion systems. IMA Journal of Applied Mathematics, pp. 1-27, 2019. https://doi.org/10.1093/imamat/hxz022.
2018
19. N. Verdière, S. Zhu, L. Denis-Vidal, A distribution input-output polynomial approach for estimating parameters in nonlinear models. Application to a Chikungunya model, Journal of Computational and Applied Mathematics, Vol. 331, pp. 104-118, 2018.
18. S. Zhu, N. Verdière, L. Denis-Vidal, D. Kateb, Identifiability analysis and parameter estimation of an epidemiologic model in a spatially continuous domain, Ecological Complexity, Vol. 34, pp. 80-88, 2018.
17. S. Zhu, N. Verdière, D. Manceau, L. Denis-Vidal, D. Kateb, Modeling spatial spread of an epidemiologic model in a spatially continuous domain. Journal of Nonlinear Systems and Applications (JNSA), Vol. 7, No. 1, pp. 21-30, 2018.
16. N. Verdière, S. Orange, Diagnosability in the case of multi-faults in nonlinear models. Journal of Process Control, Vol 69, pp. 1-7, 2018.
N. Verdière, C. Jauberthie, L. Travé-Massuyès, Improvements in bounded error parameter estimation using distribution theory. Proceeding dans ECC 2018, Cyprus,12-15 juin 2018.
15. N. Verdière, S. Orange, A strategic algorithmic tool for doing an a priori identifiability study of dynamical nonlinear models. Mathematical Biosciences 308, 2018, pp. 105-113.
2017
14. L. Ravanbod, C. Jauberthie, N. Verdière and L. Travé-Massuyès, Improved solutions for ill-conditioned problems involved in set-membership estimation for fault detection and isolation. Journal of Process Control, Vol. 58, pp. 139-151, 2017.
13. G. Cantin, N. Verdière, V. Lanza, M.A. Aziz-Alaoui, D. Provitolo, E. Dubos-Paillard, R. Charrier, C. Bertelle, Control of panic in a non-identical coupled network with a geographical model. Firenze (Italy). Proceedings in the IPACS library, 2017.
2016
12. C. Jauberthie, L. Travé-Massuyès, N. Verdière, Set-membership identifiability of nonlinear models and related parameter estimation properties, Journal of Applied Mathematics and Computer Science (AMCS), Vol. 26, No. 4, 2016.
11. G. Cantin, N. Verdière, V. Lanza, A. Alaoui, R. Charrier, C. Bertelle, D. Provitolo, E. Dubos-Paillard, Mathematical modeling for human behaviors during catastrophic events: stability and bifurcation analysis, International Journal of Bifurcation and Chaos, Vol. 26(10), 2016.
10. N. Corson, V. Lanza, N. Verdière, Hopf bifurcations in a chain of coupled Hindmarsh-Rose systems, Acta Biotheoretica, Vol. 65, No 4, 2016.
2015
9. D. Provitolo, E. Dubos-Paillard, N. Verdière, V. Lanza, R. Charrier, C. Bertelle, Aziz-Alaoui M. A., Les comportements humains en situation de catastrophe : de l’observation à la modélisation conceptuelle et mathématique, Cybergéo, 735, pp : 22 (septembre 2015).
8. N. Verdière, G. Cantin, D. Provitolo, V. Lanza, E. Dubos-Paillard, R. Charrier, C. Bertelle, Aziz-Alaoui, Understanding and Simulation of Human Behaviors in Areas Affected by Disasters: From the Observation to the Conception of a Mathematical Model, Global Journal of Human Social Science, Vol. 15, Issue 10, 2015.
2014
7. L. Ravanbod, N. Verdière and C. Jauberthie, Determination of set-membership identifiability sets. Mathematics in Computer Science journal, September 2014, Volume 8, Issue 3-4, pp 391-406.
6. N. Verdière, C. Jauberthie, L. Travé-Massuyès, Functional diagnosability and detectability of nonlinear models based on analytical redundancy relations, Journal of Process Control, Septembre 2014, Vol. 35, 1-10.
5. S. Orange, N. Verdière, Nonlinear Synchronization on Connected Undirected Networks. Nonlinear Dynamics. Volume 76, Issue 1 (2014), Page 47-55 .
2033
4. N. Verdière, L. Denis-Vidal, G. Joly-Blanchard. Identifiability and identification of a pollution source in a river by using a semi-discretized model, Applied Mathematics and Computation, 2013, pp. 1-9.
3. C. Jauberthie, N. Verdière, L. Travé-Massuyès, Fault detection and identification relying on set-membership identifiability. Annual Reviews in Control 37, 2013, 129–136.
2012
2. N. Verdière, L. Denis-Vidal, G. Joly-Blanchard, A numerical procedure for derivatives estimation based on the distribution theory, Numerical Algorithms, Vol. 61, issue 1 September 2012. p. 163 - 186.
2005
1. N. Verdière, L. Denis-Vidal, G. Joly-Blanchard, D. Domurado. Identifiability and estimation of pharmacokinetic parameters of ligands of macrophage mannose receptor, Int. Jour. of Applied Maths and Computer Science, Vol. 15, 2005, p. 517-526.
4. G. Cantin, N. Verdière, Mathematical modeling and optimal control of complex epidemiological networks, Complex Systems, Smart Territories and Mobility, Publication Springer, p 173-188, 2021.
3. V. Lanza, E. Dubos-Paillard, R. Charrier, N. Verdière, D. Provitolo, O. Navarro, C. Bertelle, G. Cantin, A. Berred, M.A. Aziz-Alaoui , Spatio-temporal dynamics of human behaviors during disasters : a mathematical and geographical approach, Complex Systems, Smart Territories and Mobility, Publication Springer, p 205-221, 2021.
2. G. Cantin, N. Verdière, V. Lanza, Synchronization Under Control in Complex Networks for a Panic Model, In book: Computational Science – ICCS 2019, 19th International Conference, Faro, Portugal, June 12–14, 2019, Proceedings, Part II.
1. F. Boulier, F. Lemaire, M. Rosenkranz, R. Ushirobira, N. Verdière, On Symbolic Approaches to Integro-Differential Equations. Chapter in Algebraic and Symbolic Computation Methods in Dynamical Systems, Springer, 2017.