Identifying -trees with few characters.
Importance of brood maintenance terms in simple models of the honeybee - Varroa destructor - acute bee paralysis virus complex.
Individual-based lattice model for spatial spread of epidemics.
Influence of diffusion on interactions between malignant gliomas and immune system
We analyse the influence of diffusion and space distribution of cells in a simple model of interactions between an activated immune system and malignant gliomas, among which the most aggressive one is GBM Glioblastoma Multiforme. It turns out that diffusion cannot affect stability of spatially homogeneous steady states. This suggests that there are two possible outcomes-the solution is either attracted by the positive steady state or by the semitrivial one. The semitrivial steady state describes...
Influenza Transmission in Preschools: Modulation by contact landscapes and interventions
Epidemiologic data suggest that schools and daycare facilities likely play a major role in the dissemination of influenza. Pathogen transmission within such small, inhomogenously mixed populations is difficult to model using traditional approaches. We developed simulation based mathematical tool to investigate the effects of social contact networks on pathogen dissemination in a setting analogous to a daycare center or grade school. Here we show...
Instability of traveling waves for a generalized diffusion model in population problems.
Interchangeability of relevant cycles in graphs.
Internal exact controllability of the linear population dynamics with diffusion.
Introducing a scavenger onto a predator prey model.
Invariantes topológicos en el ADN, los Fullerenos y la Teoría de Elección Social.
Isomorphisms of Mendelian populations
Iterates approaching hyperbolic manifolds of fixed points.
Iterative methods for generalized von Foerster equations with functional dependence.