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We study the motion of a substance in a channel of a network that consists of chain of nodes of a network (the nodes can be considered as boxes) and edges that connect the nodes and form the way for motion of the substance. The nodes of the…

Physics and Society · Physics 2017-09-07 Nikolay K. Vitanov , Kaloyan N. Vitanov

We discuss a mathematical model of migration channel based on the truncated Waring distribution. The truncated Waring distribution is obtained for a more general model of motion of substance through a channel containing finite number of…

Physics and Society · Physics 2016-03-01 Nikolay K. Vitanov , Kaloyan N. Vitanov

We study the motion of substance in a finite channel that belongs to a network. The channel splits to two arms in a node of the network. There is an additional split of the secondary arm. We obtain analytical relationships for the…

Physics and Society · Physics 2019-01-09 Roumen Borisov , Nikolay K. Vitanov

We discuss a discrete-time model for motion of substance in a channel of a network. For the case of stationary motion of the substance and for the case of time-independent values of the parameters of the model we obtain a new class of…

Physics and Society · Physics 2018-07-25 Nikolay K. Vitanov , Kaloyan N. Vitanov

We study the motion of a substance in a channel that is part of a network. The channel has 3 arms and consists of nodes of the network and edges that connect the nodes and form ways for motion of the substance. Stationary regime of the flow…

Physics and Society · Physics 2018-06-19 Nikolay K. Vitanov , Roumen Borisov

Existing theories of migration either focus on micro- or macroscopic behavior of populations; that is, either the average behavior of entire population is modeled directly, or decisions of individuals are modeled directly. In this work, we…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael G. Rabbat

We discuss a model of motion of substance through the nodes of a channel of a network. The channel can be modeled by a chain of urns where each urn can exchange substance with the neighboring urns. In addition the urns can exchange…

Physics and Society · Physics 2019-04-29 Nikolay K. Vitanov , Kaloyan N. Vitanov

In this article we analyze the global flow of migrants from 206 source countries to 145 destination countries (2006-2010) and focus on the differences in the migration network pattern between destination and source counters as represented…

Physics and Society · Physics 2015-11-18 Idan Porat , Lucien Benguigui

We study the problem of the motion of substance in a channel of a network for the case of channel having two arms. Stationary regime of the flow of the substance is considered. Analytical relationships for the distribution of the substance…

Adaptation and Self-Organizing Systems · Physics 2018-03-15 Nikolay K. Vitanov , Roumen Borissov

This paper studies international migration from a complex-network perspective. We define the international-migration network (IMN) as the weighted-directed graph where nodes are world countries and links account for the stock of migrants…

Physics and Society · Physics 2012-12-20 Giorgio Fagiolo , Marina Mastrorillo

An emerging area of research is the study of macroscale migration patterns as a network of nodes that represent places (e.g., countries, cities, and rural areas) and edges that encode migration ties that connect those places. In this…

Social and Information Networks · Computer Science 2020-05-28 Valentin Danchev , Mason A. Porter

Cross-border migration brings economic and cultural impacts to the origin and destination, and is also a key to reflect the international relations of related countries. In fact, the migration relationships of countries are complex and…

Physics and Society · Physics 2020-08-27 Wensha Gou , Siyu Huang , Qinghua Chen , Jiawei Chen , Xiaomeng Li

In this work we present a model of an air transportation traffic system from the complex network modelling viewpoint. In the network, every node corresponds to a given airport, and two nodes are connected by means of flight routes. Each…

Physics and Society · Physics 2015-05-13 Lucas Lacasa , Miguel Cea , Massimiliano Zanin

We examine world migration as a social-spatial network of countries connected via movements of people. We assess how multilateral migratory relationships at global, regional, and local scales coexist ("glocalization"), divide…

Physics and Society · Physics 2016-03-31 Valentin Danchev , Mason A. Porter

Migration's impact spans various social dimensions, including demography, sustainability, politics, economy and gender disparities. Yet, the decision-making process behind migrants choosing their destination remains elusive. Existing models…

Consider a migration process based on a closed network of N stations with K_N customers. Each station is a ./M/\infty queue with service (migration) rate mu. Upon departure, a customer is routed at random to another station. In addition to…

Probability · Mathematics 2022-08-10 Francois Baccelli , Sergey Foss , Vsevolod Shneer

Migration plays a crucial role in urban growth. Over time, individuals opting to relocate led to vast metropolises like London and Paris during the Industrial Revolution, Shanghai and Karachi during the last decades and thousands of smaller…

Physics and Society · Physics 2025-04-03 Rafael Prieto-Curiel , Carmen Cabrera-Arnau

We consider the effect of network structure on the evolution of a population. Models of this kind typically consider a population of fixed size and distribution. Here we consider eco-evolutionary dynamics where population size and…

Populations and Evolution · Quantitative Biology 2023-04-05 Karan Pattni , Wajid Ali , Mark Broom , Kieran J Sharkey

This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package…

Dynamical Systems · Mathematics 2024-07-19 Omar Mansour , Tomer Toledo , Shadi Haj-Yahia , Wafa Elias

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova
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