# incidence function

## incidence function

[′in·səd·əns ‚fəŋk·shən]
(mathematics)
The function that assigns a pair of vertices to each edge of a graph.
References in periodicals archive ?
The researchers found that in the combined derivation and validation cohorts, there were 3,709 cardiovascular events and 818,478 person-years of follow-up (five-year cumulative incidence function, 0.026 and 0.018 for men and women, respectively).
The model proposed by Fine-Gray models the cumulative incidence function, considered by other authors as appropriate to estimate the death probabilities.
However, an alternative method, which is the cumulative probability of failure from a specific cause over time, was suggested and labeled the cumulative incidence function (CIF) that accounted for the competing risks and has a reasonable interpretation.
[7] explored the role of the choice of incidence function in HIV models formulated in [6] and obtained that the phenomenon of backward bifurcation can be removed by substituting the standard incidence function with a mass action incidence.
[8] proposed a nonlinear saturated incidence function g(I)S = [[beta]SI.sup.p]/(1 + [[alpha]I.sup.q]) to model the effect of behavioral changes to certain communicable disease, where [[beta]SI.sup.p] describes the infection force of the disease and 1/(1 + [[alpha]I.sup.P]) measures the inhibition effect from the behavioral change of the susceptible individuals when the number of infectious individuals increases.
One of the more widely-used techniques in modelling metapopulation dynamics within real landscapes is the incidence function model (IFM; Hanski et al.
Petri-Net model consists of a 7-tuple such as a finite set P of place, a finite set T of transition, backward incidence function B, forward incidence function F, initial marking [[mu].sub.0], time function [tau], state function [epsilon].
In Part I, the chapters begin with relatively simple two-population and Levins metapopulation models, and then to incidence function, state transition, and n-population models.
We analyze how z should vary with trophic rank, using a generalization of the incidence function model of Holt (1993, 1996a).
To avoid the use of a single incidence function, the use of a general incidence rate that includes a family of particular functions with similar properties has become a topic of interest by several authors (see, e.g., [4-8]).
This study presents an efficient parameter estimation method for SPOMs, which is applied to a well-defined SPOM, the incidence function model (IFM; Hanski 1994a).
Recently, we have studied metapopulation processes with a stochastic patch occupancy model called the incidence function model (Hanski 1994a, 1997, Hanski et al.
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