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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Paweł Strumiłło, Michał Strzelecki (2006)
International Journal of Applied Mathematics and Computer Science
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The role of relaxation oscillator models in application fields such as modeling dynamic systems and image analysis is discussed. A short review of the Van der Pol, Wilson-Cowan and Terman-Wang relaxation oscillators is given. The key property of such nonlinear oscillators, i.e., the oscillator phase shift (called the Phase Response Curve) as a result of external pulse stimuli is indicated as a fundamental mechanism to achieve and sustain synchrony in networks of coupled oscillators....
Jadranka Jović (1997)
The Yugoslav Journal of Operations Research
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J. Modolo, R. Edwards, J. Campagnaud, B. Bhattacharya, A. Beuter (2010)
Mathematical Modelling of Natural Phenomena
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Recent technological advances including brain imaging (higher resolution in space and time), miniaturization of integrated circuits (nanotechnologies), and acceleration of computation speed (Moore’s Law), combined with interpenetration between neuroscience, mathematics, and physics have led to the development of more biologically plausible computational models and novel therapeutic strategies. Today, mathematical models of irreversible...
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...
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...
Izabela Rojek (2010)
Control and Cybernetics
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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...
Lim, J.-T., Meerkov, S.M. (1996)
Mathematical Problems in Engineering
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Zheng, Yanfei, Chen, Kefei, Qiu, Weidong (2010)
Mathematical Problems in Engineering
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Klinge, U., Dahl, E., Mertens, P.R. (2007)
Computational & Mathematical Methods in Medicine
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