Skip to main content

Table 4 Endogenous variables considered for human 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
Total human population at risk Phu [individual] HUS, HUI, HUF, HUM HUS + HUI + HUF + HUM
Primary exo-erythrocytic schizogony kin [days] Parasite species, SEC 5–13 for P. falciparum; 2 for P. vivax
Erythrocytic schizogony ker [days] Parasite species, SEC 2 for P. falciparum; 2 for P. vivax
Average infectious period 1/V or P_F [years] HUF, ν, VC, Phu E X P [ V C * H U F P h u * ν ] 1 V C * H U F P h u MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=veafjab=Hfayjab=bfaqnaadmGabaGae8NvayLae83qamKaeiOkaOYaaSaaaeaacqWFibascqWFvbqvcqWFgbGraeaacqWFqbaudaWgaaWcbaGae8hAaGMae8xDauhabeaaaaGccqGGQaGkiiqacqGF9oGBaiaawUfacaGLDbaacqGHsislcqWFXaqmaeaacqWFwbGvcqWFdbWqcqGGQaGkdaWcaaqaaiab=Heaijab=vfavjab=zeagbqaaiab=bfaqnaaBaaaleaacqWFObaAcqWF1bqDaeqaaaaaaaaaaa@4BBE@ [3]
Average immune period 1/γ or P_M [years] HUF, τ, VC, Phu E X P [ V C * H U F P h u * τ ] 1 V C * H U F P h u MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=veafjab=Hfayjab=bfaqnaadmGabaGae8NvayLae83qamKaeiOkaOYaaSaaaeaacqWFibascqWFvbqvcqWFgbGraeaacqWFqbaudaWgaaWcbaGae8hAaGMae8xDauhabeaaaaGccqGGQaGkiiqacqGFepaDaiaawUfacaGLDbaacqGHsislcqWFXaqmaeaacqWFwbGvcqWFdbWqcqGGQaGkdaWcaaqaaiab=Heaijab=vfavjab=zeagbqaaiab=bfaqnaaBaaaleaacqWFObaAcqWF1bqDaeqaaaaaaaaaaa@4BCB@ [3]
Prevalence** G or Prev [dec] HUF, Phu H U F P h u MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGqabiab=Heaijab=vfavjab=zeagbqaaiab=bfaqnaaBaaaleaacqWFObaAcqWF1bqDaeqaaaaaaaa@3430@
  1. (*) In the system of differential equations, the sum (kin+ker) represents the length of the interval between infection (sporozoite inoculation) and the onset of infectivity (gametocyte maturation) in a vertebrate host. It may range from 15 to 19 days (for a mean value commonly used of 17 days), according to good, deteriorating or intermediate social and economic conditions (SEC) prevailing in the community [21]. The average immune and infectious periods (1/V and 1/γ, respectively) were estimated following the Martens assumptions [3]. (**) In simulation results the variable 'Prevalence' considers only the proportion of infectious individuals, expressed by the total number of infectious human hosts at a given time t scaled by the total human population at risk. Some authors define this endogenous variable as the overall malaria prevalence, therefore including both the infected and infectious stages.