53 citations · 64 across the 11 of their papers we have counts for
5 papers · 1 filter
Harvesting in a resource dependent age structured Leslie type population model
Rui Dilao, Tiago Domingos, Elman M. Shahverdiev
We analyse the effect of harvesting in a resource dependent age structured population model, deriving the conditions for the existence of a stable steady state as a function of fer…
The reaction-diffusion approach to morphogenesis
Rui Dilao
Morphogenesis is the ensemble of processes that determines form, shape and patterns in organisms. Based on a reaction-diffusion theoretical setting and some prototype reaction sche…
Excitability in a Model with a Saddle-Node Homoclinic Bifurcation
Rui Dilao, Andras Volford
In order to describe excitable reaction-diffusion systems, we derive a two-dimensional model with a Hopf and a semilocal saddle-node homoclinic bifurcation. This model gives the th…
Modelling butterfly wing eyespot patterns
Rui Dilao, Joaquim Sainhas
Eyespots are concentric motifs with contrasting colours on butterfly wings. Eyespots have intra- and inter-specific visual signalling functions with adaptive and selective roles. W…
Turing Instabilities and Patterns Near a Hopf Bifurcation
Rui Dilao
We derive a necessary and sufficient condition for Turing instabilities to occur in two-component systems of reaction-diffusion equations with Neumann boundary conditions. We apply…