Chaos: Challenges from and to socio-spatial form and policy.
Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
Chaos in ecology: The topological entropy of a tritrophic food chain model.
Cognition: Differential-geometrical view on neural networks.
Comparison of six models of antiangiogenic therapy
Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network, and are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design.
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with pulsed input and washout.
Competitive Exclusion in a Discrete Stage-Structured Two Species Model
We develop a stage-structured model that describes the dynamics of two competing species each of which have sexual and clonal reproduction. This is typical of many plants including irises. We first analyze the dynamical behavior of a single species model. We show that when the inherent net reproductive number is smaller than one then the population will go to extinction and if it is larger than one then an interior equilibrium exists and it is globally asymptotically stable. Then we analyze...
Complete polynomial vector fields in simplexes with application to evolutionary dynamics.
Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.
Could changes in national tuberculosis vaccination policies be ill-informed ?
National policies regarding the BCG vaccine for tuberculosis vary greatly throughout the international community and several countries are currently considering discontinuing universal vaccination. Detractors of BCG point to its uncertain effectiveness and its interference with the detection and treatment of latent tuberculosis infection (LTBI). In order to quantify the trade-off between vaccination and treatment of LTBI, a mathematical model was designed and calibrated to data from Brazil, Ghana,...