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Table 2 Endogenous variables considered for mosquito population

From: Modelling entomological-climatic interactions of Plasmodium falciparum malaria transmission in two Colombian endemic-regions: contributions to a National Malaria Early Warning System

Endogenous variable

Used variable

Depending on

Function

Rate of eggs becoming non-viable

μE or Mu_E

[1/day]

φE

1 φ E MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=fdaXaqaaGGabiab+z8aMnaaBaaaleaacqWFfbqraeqaaaaaaaa@30A6@

Rate of larvae becoming non-viable

μL or Mu_L

[1/day]

φL

1 φ L MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=fdaXaqaaGGabiab+z8aMnaaBaaaleaacqWFmbataeqaaaaaaaa@30B4@

Rate of pupae becoming non-viable

μPU or Mu_PU

[1/day]

φPU

1 φ P U MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=fdaXaqaaGGabiab+z8aMnaaBaaaleaacqWFqbaucqWFvbqvaeqaaaaaaaa@31EB@

Daily survival probability

p or P_S

[dec]

T

e 1 ( 4 . 4 + 1 . 3 1 * T 0 . 0 3 * T 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaieqacqWFLbqzdaahaaWcbeqaaiabgkHiTmaalaaabaGae8xmaedabaWaaeWaceaacqGHsislcqWF0aancqGGUaGlcqWF0aancqGHRaWkcqWFXaqmcqGGUaGlcqWFZaWmcqWFXaqmcqGGQaGkcqWFubavcqGHsislcqWFWaamcqGGUaGlcqWFWaamcqWFZaWmcqGGQaGkcqWFubavdaahaaadbeqaaiab=jdaYaaaaSGaayjkaiaawMcaaaaaaaaaaa@4385@ [3] or longevity under CLC.

Natural mortality rate of mosquitoes

μm or Mu_M

[1/day]

p

1 - p

Induced mortality rate of mosquitoes

αm or Alfa_M

[1/day]

IM_M

1 I M _ M MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=fdaXaqaaiab=Leajjab=1eanjabc+faFjab=1eanbaaaaa@3248@

Feeding interval

FI

[days]

T, Dbd, Tmin, bd

D b d T T m i n , b d MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=reaenaaBaaaleaacqWFIbGycqWFKbazaeqaaaGcbaGae8hvaqLaeyOeI0Iae8hvaq1aaSbaaSqaaiab=1gaTjab=LgaPjab=5gaUjabcYcaSiab=jgaIjab=rgaKbqabaaaaaaa@3B9F@ [35,31] or length of the gonotrophic cycle under CLC.

Sporogonic cycle

n or EIP

[days]

T, Dm, Tmin, p

D m T T m i n , p MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=reaenaaBaaaleaacqWFTbqBaeqaaaGcbaGae8hvaqLaeyOeI0Iae8hvaq1aaSbaaSqaaiab=1gaTjab=LgaPjab=5gaUjabcYcaSiab=bhaWbqabaaaaaaa@3937@ or length of the sporogonic period under CLC.

Frequency with which human blood meals are taken

a

[1/day]

FI, HBI, Risk

H B I F I MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=Heaijab=jeacjab=Leajbqaaiab=zeagjab=Leajbaaaaa@3223@

  1. The incubation period of the parasite in the malaria transmission vector n (also called the Extrinsic Incubation Period EIP, Sporogony, Exogenous Sexual Phase, or Single Sexual Multiplication in the mosquito host) represents the length of the interval between infection (gametocyte ingestion) and the onset of infectivity (sporozoite migration) in the vector host. This parameter is strongly dependent on actual air average temperature. It may range from 8 days at 31°C to 22 days at 20°C (the mean value commonly used reaches 15 days). The frequency with which human blood meals are taken (a) could also be a function of the representative risks of malaria transmission: for a community under a low risk of malaria (RISK = 0), a = 0.07; for a community under an intermediate risk of malaria (RISK = 1), a= 0.25; and for a community which is under a high-risk of malaria (RISK = 2), a= 0.90 [21].