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(a) Original (top) and reduced model (bottom) without self-infections. Susceptible (infected) nodes are shown in blue (red). (b) Results for: Erd˝ osRényi, Barabási-Albert, Newman-Watts-Strogatz random graphs (top to bottom) with 10 2 (left) and 10 4 (right) nodes ( = 0.001) and a simulated baseline.

(a) Original (top) and reduced model (bottom) without self-infections. Susceptible (infected) nodes are shown in blue (red). (b) Results for: Erd˝ osRényi, Barabási-Albert, Newman-Watts-Strogatz random graphs (top to bottom) with 10 2 (left) and 10 4 (right) nodes ( = 0.001) and a simulated baseline.

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Poster
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Poster Abstract on how birth-death processes can reproduce SIS-type epidemic dynamics on (random) complex networks.

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Context 1
... a contact network and λ, we build two birth-death-processes with n + 1 states each (cf. Fig. 1b., n being the number of nodes in the network). A birthdeath process is a special kind of continuous-time Markov chain where the statespace is a subset of Z ≥0 and in each step one can only go from state i to i + 1 (birth) or to i − 1 (death). The state i of our birth-death process corresponds to the number of infected nodes in the ...

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