Add to ORKGA model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space. We prove the existence of solutions, which exist globally, and are L ∞-bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant
We consider an attraction-repulsion chemotaxis model coupled with the Navier-Stokes system. This mod...
AbstractFor a system of equations introduced by Jäger and Luckhaus (1992) [6] as a model of chemotax...
This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell popu...
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system...
Abstract. A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists o...
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system...
This paper concerns the uniform boundedness and global existence of solutions in time for the chemo...
Abstract. Migrating cells measure the external environment through receptor-binding of specific chem...
We consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two sp...
A chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where...
AbstractWe determine the critical blow-up exponent for a Keller–Segel-type chemotaxis model, where t...
We consider a model arising from biology, consisting of chemotaxis equations coupled to viscous inco...
We introduce three new examples of kinetic models for chemotaxis, where a kinetic equation for the p...
International audienceWe study a hyperbolic-parabolic model of chemotaxis in dimensions one and two....
This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell popu...
We consider an attraction-repulsion chemotaxis model coupled with the Navier-Stokes system. This mod...
AbstractFor a system of equations introduced by Jäger and Luckhaus (1992) [6] as a model of chemotax...
This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell popu...
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system...
Abstract. A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists o...
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system...
This paper concerns the uniform boundedness and global existence of solutions in time for the chemo...
Abstract. Migrating cells measure the external environment through receptor-binding of specific chem...
We consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two sp...
A chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where...
AbstractWe determine the critical blow-up exponent for a Keller–Segel-type chemotaxis model, where t...
We consider a model arising from biology, consisting of chemotaxis equations coupled to viscous inco...
We introduce three new examples of kinetic models for chemotaxis, where a kinetic equation for the p...
International audienceWe study a hyperbolic-parabolic model of chemotaxis in dimensions one and two....
This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell popu...
We consider an attraction-repulsion chemotaxis model coupled with the Navier-Stokes system. This mod...
AbstractFor a system of equations introduced by Jäger and Luckhaus (1992) [6] as a model of chemotax...
This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell popu...