A spatially extended model for residential segregation.
Chaos: Challenges from and to socio-spatial form and policy.
Dynamical system and nonlinear regression for estimate host-parasitoid relationship.
Large games with only small players and strategy sets in Euclidean spaces
The games of type considered in the present paper (LSE-games) extend the concept of LSF-games studied by Wieczorek in [2004], both types of games being related to games with a continuum of players. LSE-games can be seen as anonymous games with finitely many types of players, their action sets included in Euclidean spaces and payoffs depending on a player's own action and finitely many integral characteristics of distributions of the players' (of all types) actions. We prove the existence of equilibria...
Linear bifurcation analysis with applications to relative socio-spatial dynamics.
Location patterns and distances in Tinbergen-Bos systems
On the mathematical aspects of an urban retail model
The Speed of Epidemic Waves in a One-Dimensional Lattice of SIR Models
A one-dimensional lattice of SIR (susceptible/infected/removed) epidemic centres is considered numerically and analytically. The limiting solutions describing the behaviour of the standard SIR model with a small number of initially infected individuals are derived, and expressions found for the duration of an outbreak. We study a model for a weakly mixed population distributed between the interacting centres. The centres are modelled as SIR nodes with interaction between sites determined by a diffusion-type...