Modeling Disease Spreading on Complex Networks
Xiangjie Kong, Yu Qi, Xiumiao Song, Guojiang Shen (2011)
Computer Science and Information Systems
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Xiangjie Kong, Yu Qi, Xiumiao Song, Guojiang Shen (2011)
Computer Science and Information Systems
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Oliver Kley, Claudia Klüppelberg, Lukas Reichel (2015)
Banach Center Publications
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We contribute to the understanding of how systemic risk arises in a network of credit-interlinked agents. Motivated by empirical studies we formulate a network model which, despite its simplicity, depicts the nature of interbank markets better than a symmetric model. The components of a vector Ornstein-Uhlenbeck process living on the nodes of the network describe the financial robustnesses of the agents. For this system, we prove a LLN for growing network size leading to a propagation...
Y. Sanchez-Dehesa, D. Parsons, J. M. Peña, G. Beslon (2008)
Mathematical Modelling of Natural Phenomena
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Studying the evolutive and adaptative machanisms of prokayotes is a complicated task. As these machanisms cannot be easily studied "in vivo", it is necessary to consider other methods. We have therefore developed the RAevol model, a model designed to study the evolution of bacteria and their adaptationto the environment. Our model simulates the evolution of a population of artificial bacteria in a changing environment, providing us with an insight into the strategies that digital organisms...
Vida Vukašinović, Jurij Šilc, Riste Škrekovski (2014)
International Journal of Applied Mathematics and Computer Science
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An acquaintance network is a social structure made up of a set of actors and the ties between them. These ties change dynamically as a consequence of incessant interactions between the actors. In this paper we introduce a social network model called the Interaction-Based (IB) model that involves well-known sociological principles. The connections between the actors and the strength of the connections are influenced by the continuous positive and negative interactions between the actors...
David Pearson, Mark McCartney (2002)
International Journal of Applied Mathematics and Computer Science
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Our aim is to model the dynamics of social networks, which comprises the problem of how people get to know each other, like each other, detest each other, etc. Most existing models are stochastic in nature and, obviously, based on random events. Our approach is deterministic and based on ordinary differential equations. This should not be seen as a challenge to stochastic models, but rather as a complement.
Piqueira, José Roberto C. (2010)
Mathematical Problems in Engineering
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Christian Napoli, Giuseppe Pappalardo, Emiliano Tramontana (2016)
International Journal of Applied Mathematics and Computer Science
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BitTorrent splits the files that are shared on a P2P network into fragments and then spreads these by giving the highest priority to the rarest fragment. We propose a mathematical model that takes into account several factors such as the peer distance, communication delays, and file fragment availability in a future period also by using a neural network module designed to model the behaviour of the peers. The ensemble comprising the proposed mathematical model and a neural network provides...
Zhang, Juping, Jin, Zhen (2010)
Discrete Dynamics in Nature and Society
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Evelien P. H. Zeggelink (1997)
Mathématiques et Sciences Humaines
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We present an overview of different actor oriented models of network evolution, that have been developed in the last couple of years. The models are constructed in different fields of application and all have in common that the emergence of network structure is directly or indirectly of interest. Each model is based on a set of actors and a set of behavioral rules of these actors, resulting in interaction mechanisms and the coming into existence of some network pattern of relationships....
Vida Vukašinović, Jurij Šilc, Riste Škrekovski (2014)
International Journal of Applied Mathematics and Computer Science
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Jordi Bascompte (2007)
RACSAM
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Ljubomyr Tsaryk, Andriy Kuzyshyn, Petro Tsaryk, Nadiia Stetsko, Yaroslaw Marunyak, Inna Poplavska, Mariana Hinzula (2015)
Annales Universitatis Paedagogicae Cracoviensis Studia Geographica
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The article discusses the process of regional natural and recreational systems formation, methodological basis for the creation of them, which is the concept of ecological networks (environmental systems) and regional recreational systems (RRS). Analyzed in the article is the formation of five regional conservation and recreation systems: western, northeastern, central, eastern and southern, with developed environmental and recreational infrastructure. It is considered in the context...
Tumwiine, J., Mugisha, J.Y.T., Luboobi, L.S. (2007)
Computational & Mathematical Methods in Medicine
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