Local existence for a general model of size-dependent population dynamics.
Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models
Local rule simulations of capsid assembly.
Local stability conditions for discrete-time cascade locally recurrent neural networks
The paper deals with a specific kind of discrete-time recurrent neural network designed with dynamic neuron models. Dynamics are reproduced within each single neuron, hence the network considered is a locally recurrent globally feedforward. A crucial problem with neural networks of the dynamic type is stability as well as stabilization in learning problems. The paper formulates local stability conditions for the analysed class of neural networks using Lyapunov's first method. Moreover, a stabilization...
Locally weighted neural networks for an analysis of the biosensor response
This paper presents a semi-global mathematical model for an analysis of a signal of amperometric biosensors. Artificial neural networks were applied to an analysis of the biosensor response to multi-component mixtures. A large amount of the learning and test data was synthesized using computer simulation of the biosensor response. The biosensor signal was analyzed with respect to the concentration of each component of the mixture. The paradigm of locally weighted linear regression was used for retraining...
Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem
We consider the problemwhere is a smooth and bounded domain,
Logique modale propositionnelle : une vue cavalière
Logistic equation on measure chains
Logistic equation with the -Laplacian and constant yield harvesting.
Logistic equations in tumour growth modelling
The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in...
Long range diffusion reaction model on population dynamics.
Longitudinal dispersion of tracer particles in a channel bounded by porous media using slip condition.
Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource
In this paper, we study the numerical approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. We show that this is a difficult task: some numerical methods are not suitable for a long-time integration. We analyze the reasons for the failure.
Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species
The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.
Lymphangiogenesis.
Macroscopic models of collective motion and self-organization
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of self-propelled particles interacting with its neighbors through alignment. We successively derive a mean-field model and its hydrodynamic limit. The resulting macroscopic model is the Self-Organized Hydrodynamics (SOH). We review the available existence results and known properties of the SOH model and discuss it in view...
Marked continuous-time Markov chain modelling of burst behaviour for single ion channels.
Markov operators: applications to diffusion processes and population dynamics
This note contains a survey of recent results concerning asymptotic properties of Markov operators and semigroups. Some biological and physical applications are given.
Matematica ed Ecologia: un’interazione feconda
Matematický model jaterní chromoexkreční funkce