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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 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. Biology (2022), 23 pages. link

  2. 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

  3. 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

  4. with R. Caga-anana, M.N. Razab, 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

  5. 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

  6. 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

  7. with A. Esfahani, Carleman estimates and unique continuation property for N-dimensional Benjamin-Bona-Mahony equations, J. Int. Eq Applications, (2021), 12 pages.

  8. with N. Bedjaoui and R. Kumar, Asymptotic behavior of solution of Whitham-Broer-Kaup type equations with negative dispersion, J. Applied Analysis, (2021), 15 pages. link

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

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

  17. 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

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

  19. 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

  20. 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

  21. 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

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

  23. 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

  24. 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

  25. 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

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

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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

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

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

  40. 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

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

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

  43. 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

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

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

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

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

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

  49. 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

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

  51. 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

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


  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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