Dynamical systems and population models constitute a cornerstone of modern ecological theory, offering a framework to understand how species interact and evolve over time. In particular, systems such ...

SIAM Journal on Applied Mathematics, Vol. 77, No. 3 (2017), pp. 854-880 (27 pages) While some species spread upstream in river environments, not all invasive species are successful in spreading ...

This paper is a continuation of our study on doubly nonlinear parabolic type equations that was initiated by a previous paper; it is however self-contained. We propose here to investigate a time ...

Computers have helped us prove many theorems, which like the four-color theorem are mostly combinatorial or discrete in nature. For domains like dynamical systems, however, computer-assisted proofs ...