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In this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are…

Analysis of PDEs · Mathematics 2018-11-21 Felipo Bacani , Stylianos Dimas , Igor Leite Freire , Norberto Anibal Maidana , Mariano Torrisi

Agent-based models have proven to be useful tools in supporting decision-making processes in different application domains. The advent of modern computers and supercomputers has enabled these bottom-up approaches to realistically model…

Epidemic spreading processes on dynamic multiplex networks provide a more accurate description of natural spreading processes than those on single layered networks. To describe the influence of different individuals in the awareness layer…

Social and Information Networks · Computer Science 2025-11-25 Minyu Feng , Xiangxi Li , Yuhan Li , Qin Li

In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The model couples a system of kinetic transport equations…

Numerical Analysis · Mathematics 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

The spread of infectious diseases, rumors, fashions, innovations are complex contagion processes, embedded both in networked and spatial contexts. Here we investigate the pattern dynamics of a complex contagion, where two agents, say $A$…

Physics and Society · Physics 2019-02-18 Li Chen

The structure of heterogeneous networks and human mobility patterns profoundly influence the spreading of endemic diseases. In small-scale communities, individuals engage in social interactions within confined environments, such as homes…

Physics and Society · Physics 2025-05-20 Yusheng Li , Yichao Yao , Minyu Feng , Tina P. Benko , Matjaž Perc , Jernej Završnik

We consider the spread of infectious disease through contact networks of Configuration Model type. We assume that the disease spreads through contacts and infected individuals recover into an immune state. We discuss a number of existing…

Populations and Evolution · Quantitative Biology 2014-03-11 Joel C Miller , Istvan Z Kiss

Understanding mobility, movement, and interaction in archaeological landscapes is essential for interpreting past human behavior, transport strategies, and spatial organization, yet such processes are difficult to reconstruct from static…

Robotics · Computer Science 2026-03-05 Chairi Kiourt , Vassilis Evangelidis , Dimitris Grigoropoulos

Interactions among multiple infectious agents are increasingly recognized as a fundamental issue in the understanding of key questions in public health, regarding pathogen emergence, maintenance, and evolution. The full description of…

Populations and Evolution · Quantitative Biology 2013-08-21 Chiara Poletto , Sandro Meloni , Vittoria Colizza , Yamir Moreno , Alessandro Vespignani

The present paper features results on global survival and extinction of an infection in a multi-layer network of mobile agents. Expanding on a model first presented in [CHJW22], we consider an urban environment, represented by line-segments…

Probability · Mathematics 2022-11-11 Elie Cali , Alexander Hinsen , Benedikt Jahnel , Jean-Philippe Wary

In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or districts depending on the spatial scale of interest. The…

Physics and Society · Physics 2021-06-25 Nadia Loy , Andrea Tosin

Rift Valley fever virus (RVFV) has been expanding its geographical distribution with important implications for both human and animal health. The emergence of Rift Valley fever (RVF) in the Middle East, and its continuing presence in many…

Other Quantitative Biology · Quantitative Biology 2015-03-17 Ling Xue , H. Morgan Scott , Lee. Cohnstaedt , Caterina Scoglio

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

Populations and Evolution · Quantitative Biology 2010-11-25 Christel Kamp

Infection dynamics have been studied extensively on complex networks, yielding insight into the effects of heterogeneity in contact patterns on disease spread. Somewhat separately, metapopulations have provided a paradigm for modeling…

Physics and Society · Physics 2013-08-09 Jason Hindes , Sarabjeet Singh , Christopher R. Myers , David J. Schneider

Infectious diseases are a significant threat to human society which was over sighted before the incidence of COVID-19, although according to the report of the World Health Organisation (WHO) about 4.2 million people die annually due to…

Physics and Society · Physics 2021-02-05 Md Shahzamal , Saeed Khan

Our work stems from the consideration that the spreading of a disease is modulated by the individual's perception of the infected neighborhood and his/her strategy to avoid being infected as well. We introduced a general ``cellular agent''…

Populations and Evolution · Quantitative Biology 2008-01-20 Luca Sguanci , Pietro Lio' , Franco Bagnoli

We study a simple model of how social behaviors, like trends and opinions, propagate in networks where individuals adopt the trend when they are informed by threshold $T$ neighbors who are adopters. Using a dynamic message-passing…

Physics and Society · Physics 2015-06-18 Munik Shrestha , Cristopher Moore

The contact structure between hosts has a critical influence on disease spread. However, most networkbased models used in epidemiology tend to ignore heterogeneity in the weighting of contacts. This assumption is known to be at odds with…

Populations and Evolution · Quantitative Biology 2012-09-03 Christel Kamp , Mathieu Moslonka-Lefebvre , Samuel Alizon

We develop a multi-patch and multi-group model that captures the dynamics of an infectious disease when the host is structured into an arbitrary number of groups and interacts into an arbitrary number of patches where the infection takes…

Populations and Evolution · Quantitative Biology 2017-11-23 Derdei Bichara , Abderrahman Iggidr

Human mobility is a key component of large-scale spatial-transmission models of infectious diseases. Correctly modeling and quantifying human mobility is critical for improving epidemic control policies, but may be hindered by incomplete…