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LATEST PUBLICATIONS AND EVENTS




Research themes


Modeling in biology: Population dynamics, Identification, Sensitivity analysis, Asymptotic behaviour, Stochastic instability, Progressive waves

Analysis of nonlinear dispersives PDE: KdV-Burgers type, Memory, Cauchy problem, Dispersion, Dissipation, Unique continuation, Hyperbolic limit, Stochastic dispersion

Scientific computing: Spectral method, Finite volumes

Interdisciplinarity: Ecology, Medicine, Biochemistry

Peer-reviewed publications

Click here to see them by research themes


  1. with P. Jeanpierre, A. Bernoussi, V. Laguette, Comportements de santé et qualité de vie dans l’après-cancer, Pratiques Psychologiques, (2025) . link

  2. with S. Permanes, M. Leclerc, Spatiotemporal modeling of host–pathogen interactions using level-set method, J. Comp. Bio. Med. 193, 110340 (2025). link

  3. with G. Arora, S. Hussain, R. Kumar, H. Temimi, An improved solution based on Temimi-Ansari method for coagulation and coupled coagulation fragmentation equations, Comp. Appl. Math. 44, 130 (2025). link

  4. with D. Sellier, E. Peynaud, M. Gomez-Gallego, S. Leuzinger, Y. Dumont, A. Dickson, N. Williams, A numerical model of coupled phloem-xylem flows for dynamic long-distance transport in trees, Acta Horticulturae (2025), 1419, 113-122. link

  5. with G. Arora, S. Hussain, R. Kumar, Semi-Analytical Solution for Condensing Coagulation and Lifshitz-Slyozov Models: Variational Iteration Method, In: Saha, A., Banerjee, S. (eds) Proceedings of the 2nd ICNDA 2024, Springer Proceedings in Physics, vol 405. link

  6. with G. Arora, R. Kumar, Elzaki Transform Based Accelerated Homotopy Perturbation Method for Multi-dimensional Smoluchowski's Coagulation and Coupled Coagulation-fragmentation Equations, J. Applied Analysis Comput, 14, 5, (2024), 2922–2953. link

  7. with M. Leclerc, S. Jumel, F. Hamelin, R. Treilhaud, N. Parisey, Imaging with spatio-temporal modelling to characterize the dynamics of plant-pathogen lesions, PLOS Comput. Bio (2023), 25 pages. link

  8. with N. Bedjaoui, Well-posedness of Whitham-Broer-Kaup equation with negative dispersion, Nonlinear Differential Equations and Applications NoDEA (2023), 13 pages.

  9. with L. Liverani, V. Pata, R. Quintanilla, On the linearized Whitham–Broer–Kaup system on bounded domains, Proc. Royal Soc. Edinburgh A (2023), 20 pages. link

  10. with G. Arora, R. Kumar, Homotopy perturbation and adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models, Int J Geomath 14, 4 (2023), 18 pages. link

  11. with F.M. Hamelin, Y. Aigu, S.E. Strelkov, M.A. Lewis, Host diversification may split epidemic spread into two successive fronts advancing at different speeds, Bull. Math. Biol. 84, 68 (2022), 23 pages. link

  12. with J. Arcede, R. Caga-anan, R. Namoco, I. Gonzales, Z. Lachica, M.A Mata, A modeling strategy for novel pandemics using monitoring data: the case of early COVID-19 pandemic in Northern Mindanao, Philippines, SciEnggJ 15, 1, (2022) 35-46. link

  13. with M. Lottin, S. Soudet, J. Fercot, F. Racine, J. Demagny, J. Bettoni, D. Chatelain, M.-A. Sevestre, M. Lamuraglia, A. Galmiche, Z. Saidak, Molecular landscape of the coagulome of oral squamous cell carcinoma, Cancers 14, 2 (2022) 460. link

  14. with N. Bedjaoui and R. Kumar, Asymptotic behavior of solution of Whitham-Broer-Kaup type equations with negative dispersion, , J. Applied Analysis, 28, 1, (2022), 109-119. link

  15. with R. Caga-anana, M.N. Raza, G.S.G. Labradora, E.B. Metilloa, and P. del Castillo, Effect of vaccination to COVID-19 disease progression and herd immunity, Comput. Math. Biophys 9 (2021), 262-272. link

  16. with J.P. Lanoix, J.L. Schmit and M. Lefranc, Which features of an outpatient treatment for COVID-19 would be most important for pandemic control? A modelling study, J. Roy. Soc. Interface 18, 182 (2021) 20210319. link

  17. with J. Arcede and R. Basañez, Hybrid modeling of COVID-19 spatial propagation over island country, In Srinivas R., Kumar R., Dutta M. (eds) Advances in Computational Modeling and Simulation. Lecture Notes in Mechanical Engineering (2022). Springer, Singapore. link

  18. with A. Esfahani, Carleman estimates and unique continuation property for N-dimensional Benjamin-Bona-Mahony equations, J. Int. Eq Applications, 33, 4 (2021), 443-450. link

  19. with S. Poggi, M. Sergent, M. Plantegenest, R. Le Cointe and Y. Bourhis, Dynamic role of grasslands as sources of soil-dwelling insect pests: new insights from in silico experiments for pest management strategies, Ecological Modelling 440 (2021) 109378. link

  20. with S. Dumont and O. Goubet, Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion, In memory of Ezzeddine Zahrouni DCDS 8 (2021) 2877-2891. link

  21. A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France, Comput. Math. Biophys. 8 (2020) 102-113. link

  22. with J. Arcede, R. Caga-Anan and C. Mentuda, Accounting for symptomatic and asymptomatic in a SEIR-type model of COVID-19, Math. Mod. Nat. Pheno. (2020), 13 pages. link

  23. with N. Bedjaoui, J. M.C. Correia, On a limit of perturbed conservation laws with saturating diffusion and non-positive dispersion, Z. Angew. Math. Phys. (2020), 20 pages. link

  24. with N. Bedjaoui, J. M.C. Correia, Convergence of a family of perturbed conservation laws with diffusion and non-positive dispersion, Nonlinear Analysis 192 (2020), 15 pages. link

  25. with G. Fenger and O. Goubet, Numerical analysis of the midpoint scheme for the generalized Benjamin-Bona-Mahony equation with white noise dispersion, CiCP Comm. Comput. Phys. 26, 5 (2019), 1397-1414. link

  26. with F. Dell'Oro, Benjamin-Bona-Mahony equations with memory and Rayleigh friction, App. Math. Optimization 83 (2021) 813-831. link

  27. with F. Dell’Oro, O. Goubet and V. Pata, A semidiscrete scheme for evolution equations with memory, DCDS A 39, 10, (2019), 5637-5658. link

  28. with D. Sellier, Diurnal dynamics of phloem loading: theoretical consequences for transport efficiency and flow characteristics, Tree Phys. 39, 2, (2019), 300-311. link

  29. with M. Maiza, D.A. Nguyen, N. Legrand, P. Desprez and A.A. Franco, Evaluating the impact of transport inertia on the electrochemical response of lithium ion battery single particle models, J. Power Sources 423, (2019), 263-270. link

  30. with F. Dell’Oro, O. Goubet and V. Pata, Global attractors for the Benjamin-Bona-Mahony equation with memory, Indiana University Mathematics Journal 69, 3, (2020), 749-783. arxiv

  31. with C. Gaya, Y. Yin, A. Torayev and A.A. Franco, Investigation of bi-porous electrodes for lithium oxygen batteries, Electrochimica Acta 279, (2018), 118-127. link

  32. with J. He, Remark on the well-posedness of weakly dispersive equations, ESAIM Proc. Surveys 64, (2018), 111-120. link

  33. with Y. Yin, A. Torayev, C. Gaya and A.A. Franco,Linking the Performances of Li-O Batteries to Discharge Rate, Electrode and Electrolyte Properties through the Nucleation Mechanism of Li, The Journal of Physical Chemistry Part C 121, 36, (2017), 19577-19585. link

  34. with Z. Saidak, A.-S. Giacobbi, M. Chenda Morisse and A. Galmiche, La modélisation mathématique, un outil essentiel pour l’étude du ciblage thérapeutique des tumeurs solides, médecine/sciences 33, 12, (2017), 1055-1062. link

  35. with Y. Bourhis, S. Poggi, R. Le Cointe, A.-M. Cortesero and N. Parisey, Foraging the landscape grip for population dynamics—a mechanistic model applied to crop protection, Ecological Modelling 354, (2017), 26-36. link

  36. with D. Sellier, A surfacel model of the nonlinear non-steady-state phloem transport, Math. Bios. Eng. 14, 4,  (2017), 1055-1069. hal

  37. with M. Chen and O. Goubet, Generalized regularized long wave equation with white noise dispersion, Stochastic PDE 5, 3, (2017), 319-342. link

  38. with Z. Saidak, A.S. Giacobbi C. Louandre, C. Sauzay and A. Galmiche, Mathematical modelling unveils the essential role of cellular phosphatases in the inhibition of RAF-MEK-ERK signalling by sorafenib in hepatocellular carcinoma cells, Cancer letters 392, (2017), 1-8. link

  39. with J.P. Chehab and A.A. Franco, Boundary control of the number of interfaces for the one-dimensional Allen-Cahn equation, DCDS-S 10, 1, (2017), 87-100. link

  40. with N. Bedjaoui and J. M.C. Correia, On a limit of perturbed conservation laws with diffusion and non-positive dispersion, Comm. Math. Sci. 14, 6, (2016), 1501-1516. hal

  41. with V. Thangavel, K.-H. Xue, M. Quiroga, A. Mastouri, C. Guéry, P. Johansson, M. Morcrette and A.A. Franco, A microstructurally resolved model for Li-S batteries assessing the impact of the cathode design on the discharge performance, Journal of The Electrochemical Society 163, 14, (2016), 26 pages. link

  42. with Y. Bourhis, S. Poggi, A.-M. Cortesero, A. Le Rallec and N. Parisey, Perception-based foraging for competing resources: assessing pest population dynamics at the landscape scale from heterogeneous resource distribution, Ecological Modelling 312, (2015), 211-221. hal

  43. with B. Talbot and N. Bedjaoui, Viscous shock anomaly in a variable-viscosity Burgers flow with an active scalar, Fluid Dyn. Res. 47 (2015) 065502 (22pp). link

  44. with N. Bedjaoui and J. M.C. Correia, Well-posedness of the generalized Korteweg-de Vries-Burgers equation with nonlinear dispersion and nonlinear dissipation, Int. J. Pure Math. 2, (2015), 38-46. hal

  45. with J.P. Chehab and P. Garnier, Long-time behavior of solutions of a BBM equation with generalized damping,  DCDS-B 20, 7, (2015) 1897-1915. hal

  46. with F. Dell’oro and V. Pata, The Benjamin-Bona-Mahony equation with dissipative memory, Nonlinear Differ. Equ. Appl. NoDEA 22 (2015), 899–910. link

  47. with A. Calonnec, J.B. Burie and M. Langlais, Modelling of powdery mildew spread over a spatially heterogeneous growing grapevine, IOBC/wprs Bulletin 105, (2014) 137-148. link

  48. Asymptotic behavior of small solution of the Benjamin-Ono equations with time-dependant coefficients, J. Appl. Anal. 21, 1, (2015) 9–23. hal

  49. with Y. Zhang, Comparison of solutions of Boussinesq systems, Adv Pure Appl Anal. 5, 2, (2014), 101-115. hal

  50. How changes in the dynamic of crop susceptibility and cultural practices can be used to better control the spread of a fungal pathogen at the plot scale?, Ecological Modelling 290, (2014), 178-191. hal

  51. Numerical study of the regularizing effect of the 3D weakly transverse BBM equations for long times, Appl. Math. Comput., 219, (2013), 5162– 5173.  hal

  52. A note on Carleman estimates and Unique continuation property for the Boussinesq system, Comm. Math. Anal. 15, 2, (2013), 29-38. hal

  53. with T. Colin, M.-C. Durrieu, J. Joie, Y. Lei, C. Poignard and O. Saut, Modelling of the migration of endothelial cells on bioactive micropatterned polymers, Math. Bios. Eng. 10, 4, (2013), 997-1015. hal

  54. Carleman estimates and Unique continuation property for the Kadomtsev-Petviashvili equations, Appl. Anal. 92, 12, (2012), 2526-2535. hal

  55. Continuation of time bounds for a regularized Boussinesq system, Acta Appl. Math., 117, (2012), 1-13. hal

  56. On the decay in time of solutions of the generalized regularized Boussinesq system, Adv. Nonlin. Stud. 10, (2010), 387-349. hal

  57. Unique continuation property for Boussinesq-type systems, Comm. Math. Anal., 9, 1, (2010), 121-127. hal

  58. Long time bounds for the periodic Benjamin-Ono-BBM equation, Nonlin. Anal. TMA 71, 10, (2009), 5010-5021. hal

  59. with F. Hamidouche et S. Mefire, Numerical study of the solutions of the 3D generalized Kadomtsev-Petviashvili equations for long times, CiCP Comm. Comput. Phys. 6, 5 (2009), 1022-1062. hal

  60. Unique continuation property for the KP-BBM equation, Diff. Int. Eq. 22, 3-4, (2009), 393-399. hal

  61. On the decay in time of solutions of some generalized regularized long waves equations, CPAA Comm. Pure Appl. Ana. 7, 3, (2008), 513-532. hal

  62. Comparison between shallow water models in 2-dimension (in french), M2AN Math. Model. Numer. Anal.s 41, 3, (2007), 513-542. hal


Thesis


  1. Dispersive and dissipative equations and some applications in ecology, Habilitation à Diriger des Recherches, Université de Picardie Jules Verne (2015). hal

  2. On asymptotic models in hydrodynamics (in french), PhD Thesis, Université Lille 1 (2008). hal
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