Skip to main content

Table 1 Definitions and values for basic input parameters

From: Potential causes and consequences of behavioural resilience and resistance in malaria vector populations: a mathematical modelling analysis

Symbol

Definition

Values

Source and justification

a

Age of a mosquito in hours at the end of a given hour-long time interval

1,2,3....720

Defined here

C h

Demographic coverage of humans with long-lasting insecticidal nets, expressed as the proportion of humans that use one each night

0 or 0.8

Complete absence or World Health Organization targets [39]

d

Age of a mosquito in days, rounded down to whole days, at the end of a given hour-long time interval

1,2,3....720

Defined here

Δ u

Probability of mosquito diverting away from attacking an encountered unprotected human host

0.1

[26, 40]

Δ p

Probability of mosquito diverting away from attacking an encountered human host who is protected by using a long-lasting insecticidal net at that time

0.6 or 0.8

Stereotypical values for normal and behaviourally evasive vectors, respectively [14–16, 41]

E max

Rate at which host-seeking mosquitoes encounter human hosts when fully active

0.181 encounters · host seeking mosquito-1 · hour-1

Derived [31] from field studies of wild An. arabiensis in Tanzania [42].

I t

Proportion of human population indoors and asleep where they can be protected by using long-lasting insecticidal nets

0 to 1

Assumed to vary over the course of each 24-hour day to reflect a stereotypical average of survey results from rural Africa [2]

μ u

Probability of mosquito dying as a result of attacking an encountered unprotected human host

0.1

[26, 40]

μ p

Probability of mosquito dying as a result of attacking an encountered human host who is protected by using a long-lasting insecticidal net at that time

0.6 or 0.2

Stereotypical values for normal and behaviourally evasive vectors, respectively [15, 16, 41]

N h

Number of humans present contributing to the encounter rate described above

1000

[26, 43]

P

Proportion of mosquitoes alive at the start of each hour that survive hazards other than host attack over the course of that hour

0.995

Derived from sensitivity analysis of daily values [26]

S t

Suitability of a given hour-long time interval to the mosquito for host seeking, expressed as a proportion of their maximum host-seeking activity

0 to 1

Assumed to vary over the course of each 24-hour day to reflect one of three distinct stereotypical patterns of preferred feeding times

t

An hour-long time interval during the 24-hour day starting at 18:00, corresponding to the intervals 18:00 to 19:00, 19:00 to 20:00 etc., through to 17:00 to 18:00.

0,1,2,3…23

[30]