Publications

Selected publications and preprints

Travelling waves and spatial population dynamics

Monotonicity of the propagation speed with respect to the diffusion in a Lotka-Volterra competition-diffusion system Preprint, (2026). arXiv:2608.27431.
Complete characterization of the sign of the wave speed in the symmetric Lotka-Volterra system under strong competition Preprint, (2026). arXiv:2608.16845.

Structured population dynamics in epidemiology

From trait-structured within-host dynamics to SIR models: A multiscale framework with re-exposure Bulletin of Mathematical Biology, (2026). (With P. Zongo)
A nested model with boosting and waning of immunity from Tilapia Lake Virus infection with distributed resistance to pathogens carrier-state Journal of Mathematical Biology, 86 (2023), no. 5, pp. 67. (With G. Mophou and P. Zongo)
A mathematical model for Tilapia Lake Virus transmission with waning immunity Journal of Biological Dynamics, 16 (2022), no. 1, pp. 98-116. (With P. Zongo and R. Dorville)
An age-structured model for tilapia lake virus transmission in freshwater with vertical and horizontal transmission Bulletin of Mathematical Biology, 83 (2021), no. 90, pp. 1-35. (With R. Dorville, G. Mophou, and P. Zongo)

Control, controllability and analysis of local/nonlocal PDEs

Stationarity conditions for bilinear optimal control of a non-smooth semilinear elliptic equation International Journal of Control, 2026.
Optimal control of nonlinear Fokker-Planck equations with reflecting boundary conditions Journal of Mathematical Analysis and Applications, 2026.
Insensitizing control of nonlinear coupled parabolic systems with a nonlocal spatial term Journal of Mathematical Analysis and Applications, 2025. (With L. Djomegne)
Hierarchical exact controllability of a parabolic equation with boundary controls Journal of Mathematical Analysis and Applications, 2025. (With L. Djomegne)
Stackelberg strategy on a degenerate parabolic equation with missing data Optimization, 2025, pp. 1-41. (With L. Djomegne and R. Foko)
Strong stationarity for non-smooth control problems with fractional semi-linear elliptic equations in dimension N≤3 Fractional Calculus and Applied Analysis, 2024. (With G. Mophou and M. Warma)
Bilinear optimal control for a fractional diffusive equation Optimization, 2024, pp. 1-27. (With G. Mophou and M. Warma) Arxiv
Hierarchical null controllability of a semilinear degenerate parabolic equation with a gradient term Optimization, 2024, pp. 1-41. (With L. Djomegne, R. Dorville and P. Zongo) Arxiv
Stackelberg exact controllability of a class of nonlocal parabolic equations ESAIM COCV, 30 (2024), pp. 57. (With L. Djomegne) Arxiv
Optimal control of a parabolic equation with a nonlocal nonlinearity Journal of Differential Equations, 378 (2024), pp. 234-263. (With L. Djomegne and G. Mophou) Arxiv
Bilinear optimal control of a degenerate parabolic equation with a nonlocal term Mathematical Methods in the Applied Sciences, 2024, pp. 1-23. (With L. Djomegne and J. Larrouy)
Second-order optimality conditions for the bilinear optimal control of a degenerate parabolic equation Applicable Analysis, 2024. (With L. Djomegne and P. Zongo) Arxiv
On the weak maximum principle for a class of fractional diffusive equation Analysis, 2023. (With G. Mophou) Arxiv
Stackelberg-Nash null controllability for a nonlinear coupled degenerate parabolic equations Applied Mathematics & Optimization, 87 (2023), no. 2, pp. 1-41. (With L. Djomegne, R. Dorville and P. Zongo) HAL
Optimal control of a population dynamics model with missing birth rate SIAM Journal on Control and Optimization, 58 (2020), pp. 1289-1313. (With G. Leugering and G. Mophou) HAL
Optimal control of averaged state of a population dynamics model Studies in Evolution Equations and Related Topics, Springer, 2021, pp. 113-127. (With B. Nkemzi)