2 papers
math.AP2025
The role of the initial distribution in population survival within a bounded habitat
Rafael de la Rosa, Elena Medina
In this paper, we analyze the role of initial conditions in population persistence. Specifically, we consider the reaction-diffusion equation $u_t\,=\,D\,(u^{ν-1}\,u_x)_x\,+\,a\,u…
math.AP2025
Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation
M. S. Bruzón, T. M. Garrido, E. Recio +1
In this work we consider a Fisher-Kolmogorov equation depending on two exponential functions of the spatial variables. We study this equation from the point of view of symmetry red…