In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned a new agent-based, continuous-in-space, discrete-in-time, nondifferential model, where pedestrians have finite size compressible to certain extent. The model also takes into account the pushing appearing extremely high densities. main novelty is that not assumed generate any kind of "field" which governs...

In this paper we propose and study a hybrid discrete in continuous mathematical model of collective motion under alignment chemotaxis effect. Starting from the by Di Costanzo et al (2015a), which Cucker-Smale (Cucker Smale, 2007) was coupled with other cell mechanisms, to describe migration self-organization zebrafish lateral line primordium, introduce simplified coupling between an mechanism acts on system interacting particles. particular rely description agents are entities, while...

In this paper we aim at finding effective distributed algorithms to solve the Sparse Analytic Hierarchy Process (SAHP) problem, where a set of networked agents (e.g., wireless sensors, mobile robots or IoT devices) need be ranked based on their utility/importance. However, instead knowing absolute importance, know relative utility/importance with respect neighbors. Moreover, such information is perturbed due errors, subjective biases incorrect information. Recently, Eigenvector Method proved...

This paper investigates the model for pedestrian flow firstly proposed in [Cristiani et al., DOI:10.1137/140962413]. The assumes that each individual crowd moves a known domain, aiming at minimizing given cost functional. Both dynamics and functional itself depend on position of whole crowd. In addition, pedestrians are assumed to have predictive abilities, but limited time, extending only up $\theta$ time units into future, where $\theta\in[0,\infty)$ is parameter. 1) For $\theta=0$ (no...

Coupled hybrid models, gathering the advantages of multiscale approaches, are nowadays spreading in field mathematical models for biological phenomena. The structure investigated system arises modelling collective cell migrations and growth, particularly fits to those scenarios which dynamics discrete particles is influenced by a continuum chemical concentration. In this paper we focus on existence solutions case local Our construction will rely approximation techniques, involving suitable...

A general class of hybrid models has been introduced recently, gathering the advantages multiscale descriptions. Concerning biological applications, particular coupled structure fits to collective cell migrations and pattern formation scenarios. In this context, cells are modelled as discrete entities their dynamics is given by ODEs, while chemical signal influencing motion considered a continuous which solves diffusive equation. From analytical point view, model proved have mean-field limit...

In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically characterized by their position velocity plus continuous parameter quantifying degree leadership. The microscopic processes ruling the change leadership independent, non-conservative non-local physical space, so as to account for long-range interactions. Out description, obtain then macroscopic model under...

In this letter, we consider a scenario where set of agents, interconnected by network topology, aim at computing an estimate their own utility, importance or value, based on pairwise relative information having heterogeneous nature. more detail, the agents are able to measure difference between value and some neighbors, have ratio remaining neighbors. This setting may find application in problems involving provided sensors (e.g., differences ratios), as well scenarios estimations humans be...

In this paper we propose local and global existence results for the solution of systems characterized by coupling ODEs PDEs. The coexistence distinct mathematical formalisms represents main feature hybrid approaches, in which dynamics interacting agents are driven second-order ODEs, while reaction-diffusion equations used to model time evolution a signal influencing them. We first present an result solution, locally time. particular, generalize framework recent works presented literature,...

In this paper we devise a microscopic (agent-based) mathematical model for reproducing crowd behavior in specific scenario: number of pedestrians, consisting numerous social groups, flow along corridor until gate located at the end closes. People are not informed about closure and perceive blockage observing dynamically local conditions. Once people become aware new conditions, they stop then decide either to stay, waiting reopening, or go back leave forever. going hit against newly incoming...

This paper investigates the model for pedestrian flow firstly proposed in [Cristiani et al., DOI:10.1137/140962413]. The assumes that each individual crowd moves a known domain, aiming at minimizing given cost functional. Both dynamics and functional itself depend on position of whole crowd. In addition, pedestrians are assumed to have predictive abilities, but limited time, extending only up $\theta$ time units into future, where $\theta\in[0,\infty)$ is parameter. 1) For $\theta=0$ (no...