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stochastic Lotka-Volterra systems

Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations

Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations

... Following [ 36 ], one might consider that these two terms combine both Darwinism selection through the intrinsic growth rate r, and Lamarckism induction through the logistic death rate since it depends on the ...

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Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems

Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems

... [10] J.A.J. Metz, S.A.H. Geritz, G. Mesz´ena, F.A.J. Jacobs, J.S. van Heer- waasden, Adaptive dynamics: a geometrical study of the consequences of nearly faithful reproduction. In S. J. van Strien and S. M. Verduyn ...

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Lotka-Volterra with randomly fluctuating environments: a full description

Lotka-Volterra with randomly fluctuating environments: a full description

... Abstract In this note, we study the long time behavior of Lotka-Volterra systems whose coeffi- cients vary randomly. Bena¨ım and Lobry established that randomly switching between two environments ...

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Perturbation methods for the determination of the statistical response of nonlinear Volterra systems

Perturbation methods for the determination of the statistical response of nonlinear Volterra systems

... ABSTRACT: The point-like quasi-steady aerodynamic loading in a turbulent flow is formally expressed as a function of the squared relative velocity between the fluid and the investigated structure. The three major terms ...

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Nonlinear MIMO communication systems : channel estimation and information recovery using Volterra models

Nonlinear MIMO communication systems : channel estimation and information recovery using Volterra models

... (MIMO) Volterra communication ...communication systems: OFDM, ROF and Code division multiple access (CDMA)-ROF ...munication systems, different kinds of MIMO Volterra models are ...OFDM ...

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L étude d un opérateur de Volterra

L étude d un opérateur de Volterra

... DE VOLTERRA On introduit dans ce chapitre un opérateur de Volterra noté V , puis à l’aide de son adjoint, on étudie alors un opérateur V V (la composition d’un opérateur de Volterra et son ad- joint) ...

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Affine Volterra processes

Affine Volterra processes

... affine Volterra processes comes from applications in financial ...affine stochastic volatility models, such as the Heston ( 1993 ) model, are very ...

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Global behaviour of n-dimensional Lotka-Volterra systems

Global behaviour of n-dimensional Lotka-Volterra systems

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

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Affine Volterra processes

Affine Volterra processes

... affine Volterra processes comes from applications in financial ...affine stochastic volatility models, such as the Heston ( 1993 ) model, are very ...

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A Formalism for Stochastic Adaptive Systems

A Formalism for Stochastic Adaptive Systems

... 4.2 A contract language for SAS specification The Goal and Contract Specification Language (GCSL) was first proposed in [ 2 ] to formalise properties of adaptive systems in the scope of the DANSE project. It has a ...

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Accurate approximate diagnosability of stochastic systems

Accurate approximate diagnosability of stochastic systems

... software systems for critical operations motivates the design of fast automatic detection of ...these systems by partially observable labelled transition systems (LTS) ...

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Stochastic Formal Methods for Hybrid Systems

Stochastic Formal Methods for Hybrid Systems

... hybrid systems. Such systems are used for example to model an aircraft or a nu- clear power plant on one side and its software on the other ...hybrid systems that evolve for a long ...

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Volterra-based Nonlinear Compensation in 400 Gb/s WDM Multiband Coherent Optical OFDM Systems

Volterra-based Nonlinear Compensation in 400 Gb/s WDM Multiband Coherent Optical OFDM Systems

... inverse Volterra series transfer function nonlinear equalizer (IVSTF-NLE) based on a variant of the algorithm proposed in ...multicarrier systems under ...

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Non-local Conservation Law from Stochastic Particle Systems

Non-local Conservation Law from Stochastic Particle Systems

... continuous-time stochastic processes : theory, models, and applications to finance, biology and medicine, Series Modeling and Simulation in Science, Engineering and Technology, Birkh¨auser Basel, Springer ...

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Efficient Monte Carlo simulation of stochastic hybrid systems

Efficient Monte Carlo simulation of stochastic hybrid systems

... The tool KB3, based on the Figaro modeling lan- guage, is dedicated to the construction of discrete state stochastic models, for reliability and dependa- bility calculations. With this tool it has been very easy ...

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Analysis of primitive linear and nonlinear stochastic systems

Analysis of primitive linear and nonlinear stochastic systems

... This type of research is continued here by investigating calculations of independent random variables described by uniform, gaussian, and beta distributions which arise from co[r] ...

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Cycle time of stochastic max-plus linear systems

Cycle time of stochastic max-plus linear systems

... sequence has indices in Z, which is possible up to a change of probability space, we define a new random vector y(n, x 0 ) := A(−1, −n)x 0 , which has the same distribution as x(n, x 0 ). Sequences defined by Equation 1 ...

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Interacting stochastic systems with individual and collective reinforcement

Interacting stochastic systems with individual and collective reinforcement

... drawn in the past both in the given urn and in the whole system. Under the conditions on these probabilities, it has been shown that there is a phenomenon of fixation, i.e., depending on the strength of interaction, all ...

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Dynamic control of stochastic and fluid resource-sharing systems

Dynamic control of stochastic and fluid resource-sharing systems

... In this setting we will consider three type of problems that fit the framework of optimal class selection problems: a multi-class single-server abandonment queue see Chapter 3, Section 4.[r] ...

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Random Walk Based Stochastic Modeling of 3D Fiber Systems

Random Walk Based Stochastic Modeling of 3D Fiber Systems

... hardcore systems, the random sequential adsorption (RSA) model was created in [28], which iteratively generates objects and tries to place them in the system, such that they do not overlap with the already ...

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