Bodnar, MarekVelázquez, J.J. L.2023-06-202023-06-202006-03-150022-039610.1016/j.jde.2005.07.025https://hdl.handle.net/20.500.14352/49639In this paper, we study mathematical properties of an integro-differential equation that arises as a particular limit case in the study of individual cell-based model. We obtain global well-posedness for some classes of interaction potentials and finite time blow-up for others. The existence of space homogeneous steady states as well as long-time asymptotics for the solutions of the problem is also discussed.engjournal articlehttp://www.sciencedirect.com/science/journal/00220396open access517.9Interacting Diffusion-ProcessesPorous-medium EquationBehaviorLawEcuaciones diferenciales1202.07 Ecuaciones en Diferencias