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Most mathematical models on the evolution of virulence are based on epidemiological models that assume parasite transmission follows the mass action principle.
Most of the SI type models consist of the mass action principle, i.e., the assumption that the new cases arise in a simple proportion to the product of the number of individuals which are susceptible and the number of which are infectious.
This model assumes homogenous mixing of the population and the mass action principle and does not take into account the exposed portion of the population [19].
In addition, (1) is based on a system of differential equations (which itself is based on the classic SIR model) that assumes homogenous mixing of the population and the mass action principle [19].
Therefore, the mass action principle is not applicable to the studied system.
anisopliae adhered to the mass action principle and whether parasite growth and fitness was density-dependent.
Similar(51)
Note that both infection terms in (1.1) and (1.2) are based on the mass-action principle (Perelson and Nelson [8]); that is, the infection rate per susceptible cell and per virus is a constant.
In the Nicholson-Bailey model, the function f is determined, under the assumptions of the mass-action principle and Poisson distribution of the number of encounters, to be f ( H t, P t ) = e − c P t (the positive constant c is called the 'searching efficiency' of the parasitoid).
Making certain individual-level modeling assumptions (e.g., the mass-action principle of infectious spread, time independent infection rates, etc)., theorists construct models (typically) based on Ordinary Differential Equations (ODEs) which describe the dynamics of the expected population size in different disease stages without tracking individuals.
Many models of host-parasite dynamics are based upon the mass-action principle, under which the infection rate is a linear function of the density of parasites a host individual encounters [ 3].
Although our results are based on simple mass-action principles (i.e. random mixing between individuals) we expect the same to hold true when considering explicit spatial or contact structures.
Related(15)
mass balance principle
mass action rate
mass action wall
mass action model
mass transfer principle
mass restriction principle
mass action reaction
mass similarity principle
mass action law
mass conservation principle
mass action system
mass action equation
mass action assumption
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mass action follows
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