Abstract
The main goal of this work is to introduce a new SIS epidemic model based on a particular type of finite state machines called cellular automata on graphs. The state of each cell stands for the fraction of the susceptible and infected individuals of the cell at a particular time step and the evolution of these classes is given in terms of a local transition function.
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Ahmed, E., Elgazzar, A.S.: On some applications of cellular automata. Physica A 296, 529–538 (2001)
Beauchemin, C., Samuel, J., Tuszynski, J.: A simple cellular automaton model for influenza A viral infections. J. Theor. Biol. 232, 223–234 (2005)
Boccara, N., Cheong, K.: Critical behaviour of a probablistic automata network SIS model for the spread of an infectious disease in a population of moving individuals. J. Phys. A-Math. Gen. 26, 3707–3717 (1993)
Fuentes, M.A., Kuperman, M.N.: Cellular automata and epidemiological models with spatial dependence. Physica A 267, 471–486 (1999)
White, S.H., del Rey, A.M., Sánchez, G.R.: A model based on cellular automata to simulate epidemic diseases. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds.) ACRI 2006. LNCS, vol. 4173, pp. 304–310. Springer, Heidelberg (2006)
Kermack, W.O., McKendrick, A.G.: Contributions to the mathematical theory of epidemics, part I. Proc. Roy. Soc. Edin. A 115, 700–721 (1927)
Martins, M.L., et al.: A cellular automata model for citrus variegated chlorosis. Physica A 295, 42–48 (2001)
Molisson, D.: The dependence of epidemic and population velocities on basic parameters. Math. Biosci. 107, 255–287 (1991)
Ross, R.: The prevention of malaria, 2nd edn. Murray, London (1911)
Satsuma, J., et al.: Extending the SIR epidemic model. Physica A 336, 369–375 (2004)
Sirakoulis, G.C., Karafyllidis, I., Thanailakis, A.: A cellular automaton model for the effects of population movement and vaccination on epidemic propagation. Ecol. Model. 133, 209–223 (2000)
Toffoli, T., Margolus, N.: Cellular Automata Machines: A New Environment for Modeling. MIT Press, Cambridge (1987)
Wolfram, W.: A New Kind of Science. Wolfram Media Inc. (2002)
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Fresnadillo, M.J., García, E., García, J.E., Martín, Á., Rodríguez, G. (2009). A SIS Epidemiological Model Based on Cellular Automata on Graphs. In: Omatu, S., et al. Distributed Computing, Artificial Intelligence, Bioinformatics, Soft Computing, and Ambient Assisted Living. IWANN 2009. Lecture Notes in Computer Science, vol 5518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02481-8_160
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DOI: https://doi.org/10.1007/978-3-642-02481-8_160
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