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of 357
pro vyhledávání: '"Fibich P"'
We analyze the Bass model and the Susceptible-Infected (SI) model on hypergraphs with 3-body interactions. We derive the master equations for general hypernetworks, and use them to obtain explicit expressions for the expected adoption/infection level
Externí odkaz:
http://arxiv.org/abs/2407.12123
We analyze the Bass and SI models for the spreading of innovations and epidemics, respectively, on homogeneous complete networks, circular networks, and heterogeneous complete networks with two homogeneous groups. We allow the network parameters to b
Externí odkaz:
http://arxiv.org/abs/2407.10816
We analyze the effect of boundaries in the discrete Bass model on D-dimensional Cartesian networks. In 2D, this model describes the diffusion of new products that spread primarily by spatial peer effects, such as residential photovoltaic solar system
Externí odkaz:
http://arxiv.org/abs/2401.01397
Autor:
Fibich, Gadi, Levin, Tomer
Spreading (diffusion) of innovations is a stochastic process on social networks. When the key driving mechanism is peer effects (word of mouth), the rate at which the aggregate adoption level increases with time depends strongly on the network struct
Externí odkaz:
http://arxiv.org/abs/2312.05450
Autor:
Fibich, Gadi, Levin, Tomer
We derive novel analytic tools for the discrete Bass model, which models the diffusion of new products on networks. We prove that the probability that any two nodes adopt by time t, is greater than or equal to the product of the probabilities that ea
Externí odkaz:
http://arxiv.org/abs/2308.13034
We introduce a new method for proving the convergence and the rate of convergence of discrete Bass models on various networks to their respective compartmental Bass models, as the population size $M$ becomes infinite. In this method, the full set of
Externí odkaz:
http://arxiv.org/abs/2210.04011
Autor:
Fibich, Gadi, Golan, Amit
Does a new product spread faster among heterogeneous or homogeneous consumers? We analyze this question using the stochastic discrete Bass model, in which consumers may differ in their individual external influence rates $\{p_j \}$ and in their indiv
Externí odkaz:
http://arxiv.org/abs/2102.05926
Autor:
Fibich, Gadi, Nordmann, Samuel
This paper is devoted to the study of a stochastic epidemiological model which is a variant of the SIR model to which we add an extra factor in the transition rate from susceptible to infected accounting for the inflow of infection due to immigration
Externí odkaz:
http://arxiv.org/abs/2102.00749
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