EoN.EBCM_discrete¶
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EoN.EBCM_discrete(N, psihat, psihatPrime, p, phiS0, phiR0=0, R0=0, tmin=0, tmax=100, return_full_data=False)[source]¶ Encodes system (6.11) of Kiss, Miller, & Simon. Please cite the book if using this algorithm.
- theta(t) = (1-p) + p(phi_R(0)
- phi_S(0) psihatPrime(theta(t-1))/psihatPrime(1))
R(t) = R(t-1) + I(t-1) S(t) = N psihat(theta(t)) I(t) = N-S-R
Arguments: - N positive integer
- size of population
- psihat function
- psihat(x) = sum_k S(k,0) x^k
- psihatPrime function
- psihatPrime(x) = d psihat(x)/dx = sum_k k S(k,0) x^{k-1}
- p number
- per edge transmission probability
- phiS0 number
- initial proportion of edges (of susceptible nodes) connecting to susceptible nodes
- phiR0 number
- initial proportion of edges (of susceptible nodes) connecting to recovered nodes
- R0 number
- number of recovered nodes at time 0
- tmax number
- maximum time
- return_full_data boolean
- if False,
- return t, S, I, R
- if True
- return t, S, I, R, and theta
Returns: - if return_full_data == False:
- returns t, S, I, R, all numpy arrays
- if …== True
- returns t, S, I, R and theta, all numpy arrays