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 ...

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated scientists for a long time. While these dynamics can be represented by reaction ...

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 ...

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 ...

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 ...