Pathway complexity of model virus capsid assembly systems.
Pattern recognition using chaotic neural networks.
Period doubling bifurcations in a two-box model of the Brusselator
Two theorems about period doubling bifurcations are proved. A special case, where one multiplier of the homogeneous solution is equal to +1 is discussed in the Appendix.
Periodic and chaotic motions of a two-bar linkage with OPCL controller.
Permanence and global attractivity of a discrete two-prey one-predator model with infinite delay.
Permanence and periodic solution of predator-prey system with holling type functional response and impulses.
Persistence in ratio-dependent models of consumer-resource dynamics.
Pointwise representation method.
Polysystem Modelling of Geographical Processes and Phenomena in Nature and Society
Polysystem methodology elaborated for comprehensive analysis of geographical objects considers them as interrelated systems of different types. Each systematic interpretation of a territorial object is formed as a theory describing this object with a special language used for construction of a certain type of models. This paper proposes new methods to develop geographical models and describes several types of systematic models constructed by these methods.
Population dynamics of Bithynia tentaculata
Population Dynamics of Grayling: Modelling Temperature and Discharge Effects
We propose a matrix population modelling approach in order to describe the dynamics of a grayling (Thymallus thymallus, L. 1758) population living in the Ain river (France). We built a Leslie like model, which integrates the climate changes in terms of temperature and discharge. First, we show how temperature and discharge can be related to life history traits like survival and reproduction. Second, we show how to use the population model to precisely examine the life cycle of grayling : estimated...
Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order
Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number. Furthermore, the bounded perturbation theorem presented in (Pazy, 1983) is not in general true in solution operators theory for models of fractional order γ (with 0 < γ ≤ 1). In this article, we introduce and study a model that can be understood as...
Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
Early studies of the novel swine-origin 2009 influenza A (H1N1) epidemic indicate clinical attack rates in children much higher than in adults. Non-medical interventions such as school closings are constrained by their large socio-economic costs. Here we develop a mathematical model to ascertain the roles of pre-symptomatic influenza transmission as well as symptoms surveillance of children to assess the utility of school closures. Our model analysis...
Profitability analysis of price-taking strategy in disequilibrium.
Prolongation loop algebras for a solitonic system of equations.
Properties of a singular value decomposition based dynamical model of gene expression data
Recently, data on multiple gene expression at sequential time points were analyzed using the Singular Value Decomposition (SVD) as a means to capture dominant trends, called characteristic modes, followed by the fitting of a linear discrete-time dynamical system in which the expression values at a given time point are linear combinations of the values at a previous time point. We attempt to address several aspects of the method. To obtain the model, we formulate a nonlinear optimization problem...
Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels