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In this work, we introduce a quantum-inspired epidemic model to study the dynamics of an infectious disease in a population divided into compartments. By treating the healthy population as a large reservoir, we construct a framework based…

Populations and Evolution · Quantitative Biology 2025-03-19 Fabio Bagarello , Francesco Gargano , Polina Khrennikova

It the literature have been identified three social mechanisms explaining the similarity between people connected in the network of social relations homophily, confounding and social contagion. The article proposes a simple model for…

Social and Information Networks · Computer Science 2014-12-01 Blazej Zak , Anita Zbieg

Many pathogens spread primarily via direct contact between infected and susceptible hosts. Thus, the patterns of contacts or contact network of a population fundamentally shapes the course of epidemics. While there is a robust and growing…

Populations and Evolution · Quantitative Biology 2012-08-01 Shweta Bansal , Lauren Ancel Meyers

Social systems are characterized by the presence of group interactions and by the existence of both trust and distrust relations. Although there is a wide literature on signed social networks, where positive signs associated to the links…

Physics and Society · Physics 2023-05-09 Jean-François de Kemmeter , Luca Gallo , Fabrizio Boncoraglio , Vito Latora , Timoteo Carletti

Modeling and simulation of disease spreading in pedestrian crowds has been recently become a topic of increasing relevance. In this paper, we consider the influence of the crowd motion in a complex dynamical environment on the course of…

Dynamical Systems · Mathematics 2021-01-06 Parveena Samim Abdul Salam , Wolfgang Bock , Axel Klar , Sudarshan Tiwari

Swarming or collective motion of living entities is one of the most common and spectacular manifestations of living systems having been extensively studied in recent years. A number of general principles have been established. The…

Cell Behavior · Quantitative Biology 2014-06-06 Elod Mehes , Tamas Vicsek

The spread of traffic jams in urban networks has long been viewed as a complex spatio-temporal phenomenon that often requires computationally intensive microscopic models for analysis purposes. In this study, we present a framework to…

We introduce a mathematical model of symbiosis between different species by taking into account the influence of each species on the carrying capacities of the others. The modeled entities can pertain to biological and ecological societies…

Biological Physics · Physics 2012-06-06 V. I. Yukalov , E. P. Yukalova , D. Sornette

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Physics and Society · Physics 2015-09-21 Romualdo Pastor-Satorras , Claudio Castellano , Piet Van Mieghem , Alessandro Vespignani

This paper introduces a new optimal control model to describe and control the dynamics of infectious diseases. In the present model, the average time of isolation (i.e. hospitalization) of infectious population is the main time-dependent…

Optimization and Control · Mathematics 2015-05-06 Robin J. Evans , Musa Mammadov

Metapopulation models are commonly used in ecology, evolution, and epidemiology. These models usually entail homogeneity assumptions within patches and study networks of migration between patches to generate insights into conservation of…

Populations and Evolution · Quantitative Biology 2025-06-06 Diepreye Ayabina , Hasan Sevil , Adam Kleczkowski , M. Gabriela M. Gomes

One of the most defining features of the global financial network is its inherent complex and intertwined structure. From the perspective of systemic risk it is important to understand the influence of this network structure on default…

Risk Management · Quantitative Finance 2019-12-11 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

The network-based model of social contagion has revolved around information on local interactions; its central focus has been on network topological properties shaping the local interactions and, ultimately, social contagion outcomes. We…

Physics and Society · Physics 2021-05-20 Kyuho Jin , Unjong Yu

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

This research presents an advanced fractional-order compartmental model designed to delve into the complexities of COVID-19 transmission dynamics, specifically accounting for the influence of environmental pathogens on disease spread. By…

Populations and Evolution · Quantitative Biology 2024-07-09 Moein Khalighi , Faïçal Ndaïrou , Leo Lahti

An individual-based model of the infectious disease spread among the urban population is considered. A system of stochastic equations, which describes changes in quantities of four population groups, susceptible, exposed, infected…

Populations and Evolution · Quantitative Biology 2011-11-11 Vasiliy Leonenko

Many human knowledge systems, such as science, law, and invention, are built on documents and the citations that link them. Citations, while serving multiple purposes, primarily function as a way to explicitly document the use of prior work…

Physics and Society · Physics 2025-01-29 Sadamori Kojaku , Robert Mahari , Sandro Claudio Lera , Esteban Moro , Alex Pentland , Yong-Yeol Ahn

Memory imprints of the significance of relationships are constantly evolving. They are boosted by social interactions among people involved in relationships, and decay between such events, causing the relationships to change. Despite the…

Social and Information Networks · Computer Science 2023-02-02 James Flamino , Ross DeVito , Omar Lizardo , Boleslaw K. Szymanski

In this paper, we first propose a diffusive pathogen infection model with general incidence rate which incorporates cell-to-cell transmission. By applying the theory of monotone dynamical systems, we prove that the model admits the global…

Analysis of PDEs · Mathematics 2026-02-24 Shohel Ahmed

Most infectious diseases spread on a dynamic network of human interactions. Recent studies of social dynamics have provided evidence that spreading patterns may depend strongly on detailed micro-dynamics of the social system. We have…

Physics and Society · Physics 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann