4 papers
Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space
José Alfredo Cañizo, Alejandro Gárriz, Diego Alfonso Marín
In this work we study the large-time behaviour of solutions of the Heat Equation in the hyperbolic space , providing precise speeds of convergence in and $L^\in…
A Hamilton-Jacobi approach for the evolutionary dynamics of a model with gene transfer: characterizing monomorphic dynamics for non-concave fitness functions
Alejandro Gárriz, Sepideh Mirrahimi
We study the asymptotic behavior of an integro-dierential equation describing the evolutionary adaptation of a population structured by a phenotypic trait. The model takes into acc…
Large-time estimates for the Dirichlet heat equation in exterior domains
José A. Cañizo, Alejandro Gárriz, Fernando Quirós
We give large-time asymptotic estimates, both in uniform and norms, for solutions of the Dirichlet heat equation in the complement of a bounded open set of sat…
Impact of the horizontal gene transfer on the evolutionary equilibria of a population
Alejandro Gárriz, Alexis Léculier, Sepideh Mirrahimi
How does the interplay between selection, mutation and horizontal gene transfer modify the phenotypic distribution of a bacterial or cell population? While horizontal gene transfer…