45 citations · 55 across the 4 of their papers we have counts for
4 papers · 1 filter
Traveling Pulses for a Two-Species Chemotaxis Model
Casimir Emako, Charlène Gayrard, Axel Buguin +2
Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel…
Well-balanced and asymptotic preserving schemes for kinetic models
Casimir Emako, Min Tang
In this paper, we propose a general framework for designing numerical schemes that have both well-balanced (WB) and asymptotic preserving (AP) properties, for various kinds of kine…
Synchronising and Non-synchronising Dynamics for a Two-species Aggregation Model
Casimir Emako, Jie Liao, Nicolas Vauchelet
This paper deals with analysis and numerical simulations of a one-dimensional two-species hyperbolic aggregation model. This model is formed by a system of transport equations with…
Existence and diffusive limit of a two-species kinetic model of chemotaxis
Luís Almeida, Casimir Emako, Nicolas Vauchelet
In this paper, we propose a kinetic model describing the collective motion by chemotaxis of two species in interaction emitting the same chemoattractant. Such model can be seen as…