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In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

最优化与控制 · 数学 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

The aim of this paper is to present an, admittedly somewhat subjective, bird's eye view of the mathematical theory concerning the spread of an infectious disease in a susceptible host population with static structure, culminating in a…

种群与进化 · 定量生物学 2025-08-06 Odo Diekmann , Hisashi Inaba , Horst R. Thieme

This article explores mathematical models for understanding the evolution of contagious diseases. The most widely known set of models are the compartmental ones, which are based on a set of differential equations. But these are not the only…

种群与进化 · 定量生物学 2021-12-07 C. O. S. Sorzano

We study corruption as a generalized epidemic process on the graph of social relationships. The main difference to classical epidemic processes is the strong nonlinear dependence of the transmission probability on the local density of…

物理与社会 · 物理学 2007-05-23 Ph. Blanchard , A. Krueger , T. Krueger , P. Martin

The study of infectious disease has been of interest to ecologists since long. The initiation of epidemic and the long term disease dynamics are largely influenced by the nature of the underlying consumer (host)-resource dynamics.…

种群与进化 · 定量生物学 2022-11-17 Arnab Chattopadhyay , Swarnendu Banerjee , Amit Samadder , Sabyasachi Bhattacharya

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

物理与社会 · 物理学 2018-05-09 Clara Granell , Peter J. Mucha

The spread of one disease, in some cases, can stimulate the spreading of another infectious disease. Here, we treat analytically a symmetric coinfection model for spreading of two diseases on a two-layer multiplex network. We allow layer…

物理与社会 · 物理学 2016-04-20 N. Azimi-Tafreshi

We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an…

凝聚态物理 · 物理学 2007-05-23 Jean-Philippe Bouchaud , Marc Mezard

Epidemiological models describe the spread of an infectious disease within a population. They capture microscopic details on how the disease is passed on among individuals in various different ways, while making predictions about the state…

种群与进化 · 定量生物学 2024-02-27 Stefan Hohenegger , Francesco Sannino

How are economies in a modern age impacted by epidemics? In what ways is economic life disrupted? How can pandemics be modeled? What can be done to mitigate and manage the danger? Does the threat of pandemics increase or decrease in the…

综合经济学 · 经济学 2021-05-13 Torsten Heinrich

In the real world, many complex systems interact with other systems. In addition, the intra- or inter-systems for the spread of information about infectious diseases and the transmission of infectious diseases are often not random, but with…

物理与社会 · 物理学 2017-08-23 Junbo Jia , Zhen Jin , Xinchu Fu

There has been interest in the interactions between infectious disease dynamics and behaviour for most of the history of mathematical epidemiology. This has included consideration of which mathematical models best capture each phenomenon,…

种群与进化 · 定量生物学 2025-12-09 Matthew Ryan , Roslyn I. Hickson , Edward M. Hill , Thomas House , Valerie Isham , Dongni Zhang , Mick G. Roberts

This study is concerned with the dynamical behaviors of epidemic spreading over a two-layered interconnected network. Three models in different levels are proposed to describe cooperative spreading processes over the interconnected network,…

物理与社会 · 物理学 2017-02-15 Xiang Wei , Xiaoqun Wu , Shihua Chen , Jun-an Lu , Guanrong Chen

We study the dynamics of individual agents in some kinetic models of wealth exchange, particularly, the models with savings. For the model with uniform savings, agents perform simple random walks in the "wealth space". On the other hand, we…

物理与社会 · 物理学 2011-01-04 Arnab Chatterjee , Parongama Sen

When a new infectious disease (or a new strain of an existing one) emerges, as in the recent COVID-19 pandemic, different types of mobility restrictions are considered to slow down or mitigate the spread of the disease. The measures to be…

物理与社会 · 物理学 2026-04-21 Jõao Gabriel Simões Delboni , Gabriel Fabricius

The increasing integration of world economies, which organize in complex multilayer networks of interactions, is one of the critical factors for the global propagation of economic crises. We adopt the network science approach to quantify…

物理与社会 · 物理学 2019-01-09 Michele Starnini , Marián Boguñá , M. Ángeles Serrano

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

种群与进化 · 定量生物学 2026-02-23 David J. D. Earn , Todd L. Parsons

Diseases and other contagion phenomena in nature and society can interact asymmetrically, such that one can benefit from the other, which in turn impairs the first, in analogy with predator-prey systems. Here, we consider two models for…

物理与社会 · 物理学 2021-02-17 Paulo Cesar Ventura , Yamir Moreno , Francisco A. Rodrigues

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

种群与进化 · 定量生物学 2021-02-09 Luis E C Rocha , Naoki Masuda

In this study we present a dynamical agent-based model to investigate the interplay between the socio-economy of and SEIRS-type epidemic spreading over a geographical area, divided to smaller area districts and further to smallest area…

物理与社会 · 物理学 2022-07-20 Jan E. Snellman , Rafael A. Barrio , Kimmo K. Kaski , Maarit J. Käpylä