§undergraduate student.
Preprints
Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow (PDF)
KPP transition fronts in a one-dimensional two-patch habitat (PDF)
Epidemic models in measure spaces: persistence, concentration and oscillations (PDF)
Asymptotic behavior of an epidemic model with infinitely many variants (PDF)
Persistence, extinction and spreading properties of non-cooperative Fisher--KPP systems in space-time periodic media (PDF)
Spreading properties in Kermack - McKendrick models with nonlocal spatial interactions – A new look – (PDF)
Local limit theorem for complex valued sequences (PDF)
Speed-up of traveling waves by negative chemotaxis (PDF)
Convergence to a terrace solution in multistable reaction-diffusion equations with discontinuities (PDF)
Traveling waves with continuous profile for hyperbolic Keller-Segel equation (PDF)
Rotating Spirals in segregated reaction-diffusion systems (PDF)
Publications
Mathematical derivation of wave propagation properties in hierarchical neural networks with predictive coding feedback dynamics (PDF)
Bulletin of Mathematical Biology, vol 85, no 80 (2023) , pp. 1-75
Tamed stability of finite difference schemes for the transport equation on the half-line (PDF)
Mathematics of Computation, in press (2023) , pp. 1-44
Exponential asymptotic stability of Riemann shocks of hyperbolic systems of balance laws (PDF)
SIAM J. Math. Anal., in press (2023) , pp. 1-33
The logarithmic Bramson correction for Fisher-KPP equations on the lattice Z (PDF)
Trans. Amer. Math. Soc.,, in press (2023) , pp. 1-68
Forced waves of a three species predator-prey system with a pair of weak-strong competing preys in a shifting environment. (PDF)
Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3820-3836 (2023).
Agro-ecological control of a pest-host system: Preventing spreading (PDF)
SIAM Journal on Applied Mathematics, 2023, 83(3), 1172-1195.
Asymptotic behavior of nonlocal bistable reaction-diffusion equations (PDF)
Discrete and Continuous Dynamical Systems Series B, vol 28, issue 12 (2023) , pp. 5967-5997
Terrace solutions for non-Lipschitz multistable nonlinearities (PDF)
SIAM Math. Analysis, 2022, in press.
On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals (PDF)
Journal of Mathematical Biology, 2022, 84 (5), pp.No. 38.
Generalized Gaussian bounds for discrete convolution powers (PDF)
Revista Matematica Iberoamericana, in press (2022) , pp. 1-50
Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity (PDF)
Discrete and Continuous Dynamical Systems Series S, in press (2021) , pp. 1-35