Peer-reviewed publications

Click here to see them by research themes

1. with B. Doungsavanh, On the role of water velocity in schistosomiasis transmission via progressive wave analysis, Mathematical Methods in the Applied Sciences, (2025) . link

2. with J. Correia, B. Doungsavanh, Modeling the impact of hydrological dynamics on schistosomiasis transmission, Franklin Open, (2025), 100392. link

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

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

5. with G. Arora, R. Kumar, Z. Odibat, Mathematical study of blues function method for KDV Burgers’ and BBM-Burgers’ equations, Comp. Appl. Math. 44, 130 (2025). link

6. with G. Arora, S. Hussain, R. Kumar, H. Temimi, An improved solution based on Temimi-Ansari method for coagulation and coupled coagulation fragmentation equations, Chinese Journal of Physics, 97 (2025), 814-826. link

7. 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

8. 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

9. 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

10. 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

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

12. 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

13. 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

14. 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

15. 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

16. 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

17. 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

18. 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

19. 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

20. 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

21. 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

22. 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

23. 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

24. 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

25. 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

26. 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

27. 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

28. 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

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

30. 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

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

32. 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

33. 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

34. 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

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

36. 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
    

37. 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
    

38. 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
    

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

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

41. 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
    

42. 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
    

43. 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
    

44. 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
    

45. 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
    

46. 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
    

47. 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
    

48. 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
    

49. 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
    

50. 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
    

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

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

53. 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
    

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

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

56. 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
    

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

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

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

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

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

62. 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
    

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

64. 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
    

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