189 citations · 789 across the 32 of their papers we have counts for
10 papers · 1 filter
Self-segregation in heterogeneous metapopulation landscapes
Jean-François de Kemmeter, Timoteo Carletti, Malbor Asllani
Complex interactions are at the root of the population dynamics of many natural systems, particularly for being responsible for the allocation of species and individuals across app…
Nonlinear walkers and efficient exploration of congested networks
Timoteo Carletti, Malbor Asllani, Duccio Fanelli +1
Random walks are the simplest way to explore or search a graph, and have revealed a very useful tool to investigate and characterize the structural properties of complex networks f…
Hopping in the crowd to unveil network topology
Malbor Asllani, Timoteo Carletti, Francesca Di Patti +2
We introduce a nonlinear operator to model diffusion on a complex undirected network under crowded conditions. We show that the asymptotic distribution of diffusing agents is a non…
Tune the topology to create or destroy patterns
Malbor Asllani, Timoteo Carletti, Duccio Fanelli
We consider the dynamics of a reaction-diffusion system on a multigraph. The species share the same set of nodes but can access different links to explore the embedding spatial sup…
Pattern formation in a two-component reaction-diffusion system with delayed processes on a network
Julien Petit, Malbor Asllani, Duccio Fanelli +2
Reaction-diffusion systems with time-delay defined on complex networks have been studied in the framework of the emergence of Turing instabilities. The use of the Lambert W-functio…
Delay induced Turing-like waves for one species reaction-diffusion model on a network
Julien Petit, Timoteo Carletti, Mabor Asslani +1
A one species time-delay reaction-diffusion system defined on a complex networks is studied. Travelling waves are predicted to occur as follows a symmetry breaking instability of a…
Pattern formation for reactive species undergoing anisotropic diffusion
Daniel M. Busiello, Gwendoline Planchon, Malbor Asllani +2
Turing instabilities for a two species reaction-diffusion systems is studied under anisotropic diffusion. More specifically, the diffusion constants which characterize the ability…
Turing instabilities on Cartesian product networks
Malbor Asllani, Daniel M. Busiello, Timoteo Carletti +2
The problem of Turing instabilities for a reaction-diffusion system defined on a complex Cartesian product networks is considered. To this end we operate in the linear regime and e…
Turing patterns in multiplex networks
Malbor Asllani, Daniel M. Busiello, Timoteo Carletti +2
The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as…
The linear noise approximation for reaction-diffusion systems on networks
Malbor Asllani, Tommaso Biancalani, Duccio Fanelli +1
Stochastic reaction-diffusion models can be analytically studied on complex networks using the linear noise approximation. This is illustrated through the use of a specific stochas…