6 citations · 11 across the 4 of their papers we have counts for
4 papers
An aggregation model of cockroaches with fast-or-slow motion dichotomy
Jan Elias, Hirofumi Izuhara, Masayasu Mimura +1
We propose a mathematical model, namely a reaction-diffusion system, to describe social behaviour of cockroaches. An essential new aspect in our model is that the dispersion behavi…
Mathematical treatment of PDE model describing chemotactic E. coli colonies
Rafał Celiński, Danielle Hilhorst, Grzegorz Karch +2
We consider an initial-boundary value problem describing the formation of colony patterns of bacteria Escherichia coli. This model consists of reaction-diffusion equations coupled…
Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system
Lorenzo Contento, Masayasu Mimura
The ecological invasion problem in which a weaker exotic species invades an ecosystem inhabited by two strongly competing native species is modelled by a three-species competition-…
Ecological invasion in competition-diffusion systems when the exotic species is either very strong or very weak
Lorenzo Contento, Danielle Hilhorst, Masayasu Mimura
Reaction-diffusion systems with a Lotka-Volterra-type reaction term, also known as competition-diffusion systems, have been used to investigate the dynamics of the competition amon…