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Table 3 Variables and parameters for the population model

From: Prospective malaria control using entomopathogenic fungi: comparative evaluation of impact on transmission and selection for resistance

Variable or Parameter


Comments & Constraints

Period number (periods over which the population is tracked)*



Dominance of resistance allele


dominant d = 1


recessive d = 0

Genotype (normal allele s, resistant allele r)


(s,s) g = 1


(s,r) g = 2


(r,r) g = 3

Proportion of total population having genotype g at start of period n

G g,n


Proportion of the population resistant at start of period n

R n


Average number of infectious bites per mosquito in population in period n

M n


Size of initial population (susceptibles in the presence of treatment) as proportion of base population (susceptibles without treatment)


value from FCM

Population size in period n as proportion of initial population size

W n


Average infectious bites during one time period from an untreated population


value from FCM

Number of infectious bites from treated population during time period n, expressed as a % of the number of infectious bites during one time period from a susceptible population without treatment,

Q n

Chosen measure of control

Number of periods between egg-laying and adult emergence



  1. * As for the FCM, the duration of one gonotrophic cycle is used as a unit of time. For convenience we use ‘cycles’ to refer to mosquito age and ‘periods’ to refer to the sequential time periods for which values are calculated in the PM.