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Table 2 Definitions and equations for derived process, state and life history parameters

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

Symbol Definition Equation
Process parameters   
E t Hourly rate at which an unfed host-seeking mosquito encounters a human host during a given hour-long time interval (t) during the 24-hour day 1
γ t Mean probability of a mosquito attacking an average encountered human host during a given hour-long time interval (t) during the 24-hour day 2
γ u Mean probability of a mosquito attacking an encountered unprotected human host during a given hour-long time interval (t) during the 24-hour day 3
γ p Mean probability of a mosquito attacking an encountered human host who is protected by using a long-lasting insecticidal net during a given hour-long time interval (t) during the 24-hour day 4
ϕt Mean probability of a mosquito attacking and successfully feeding upon an average encountered human host during a given hour-long time interval (t) during the 24-hour day 5
ϕu Mean probability of a mosquito attacking and successfully feeding upon an encountered unprotected human host during a given hour-long time interval (t) during the 24-hour day 6
ϕp Mean probability of a mosquito attacking and successfully feeding upon an encountered human host who is protected by using a long-lasting insecticidal net during a given hour-long time interval (t) during the 24-hour day 7
State parameters   
B a Probability that a recruited mosquito bites a single unprotected human during a given age interval (a) 12
D a Probability that a recruited mosquito dies during a given age interval (a) 9,11
F a Probability that a recruited mosquito feeds successfully during a given age interval (a) 8,11
U a Probability that a recruited mosquito remains unfed at the end of a given age interval (a) 10,11
Life history parameters   
B Mean lifetime measurable bites upon unprotected humans, expressed as total lifetime probability of feeding upon a single unprotected human, or the sum of the probabilities of feeding on a single unprotected person at each age 16
B t Mean lifetime measurable bites upon unprotected humans, expressed as total lifetime probability of feeding upon a single unprotected human or the sum of the probabilities of feeding on a single unprotected person at each interval of mosquito age (a), that occurs at that time interval (a = 24d + t, where t = 0 corresponds to the hour of emergence; 18:00 for mosquitoes emerging at dusk and 24:00 for mosquitoes emerging at midnight). 17
F Mean lifetime feeding success upon all protected and unprotected humans, expressed as the total number of successful feeds per mosquito lifetime or the sum of the probabilities of feeding at each age 13
F t Mean lifetime feeding success all protected and unprotected at a specific time interval (t), expressed as the total number of successful feeds per mosquito lifetime or the sum of the probabilities of feeding at each interval of mosquito age that occurs at that time interval (a = 24d + t where t = 0 corresponds to the hour of emergence; 18:00 for mosquitoes emerging at dusk and 24:00 for mosquitoes emerging at midnight). 14
π F,i Proportion of successful feeds upon all protected and unprotected humans occurring indoors 15
π B,i Proportion of measurable bites upon unprotected humans occurring indoors 18