Malaria model: The simplest malaria model, known as the Ross-Macdonald (winner of the 1911 Nobel Price in Health), considers two populations. The population of infected humans and the population of infected mosquitos. This model is given by: dr maby(1 – 1) – rI dt dy dt acr(e¯9" – y) – gy. where a is erpected number of bites on humans per mosquito, m is equilibrium mosquito density per human, n is length of incubation period, g is the daily force of mosquito mor- tality, b is the transmission efficiency from infectious mosquito to susceptible human, c is the probability of infection of an uninfected mosquito by biting an infectious human, x is the proportion of infected humans and y is the proportion of infectious mosquitoes. Determine Ro for this model

Human Anatomy & Physiology (11th Edition)
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Malaria model: The simplest malaria model, known as the Ross-Macdonald (winner of
the 1911 Nobel Price in Health), considers two populations. The population of infected
humans and the population of infected mosquitos. This model is given by:
d.r
тaby(1 - г) —гт
dt
dy
acr(e™" – y) – gy.
dt
where a is erpected number of bites on humans per mosquito, m is equilibrium mosquito
density per human, n is length of incubation period, g is the daily force of mosquito mor-
tality, b is the transmission efficiency from infectious mosquito to susceptible human, c is
the probability of infection of an uninfected mosquito by biting an infectious human, x is
the proportion of infected humans and y is the proportion of infectious mosquitoes.
Determine Ro for this model
Transcribed Image Text:Malaria model: The simplest malaria model, known as the Ross-Macdonald (winner of the 1911 Nobel Price in Health), considers two populations. The population of infected humans and the population of infected mosquitos. This model is given by: d.r тaby(1 - г) —гт dt dy acr(e™" – y) – gy. dt where a is erpected number of bites on humans per mosquito, m is equilibrium mosquito density per human, n is length of incubation period, g is the daily force of mosquito mor- tality, b is the transmission efficiency from infectious mosquito to susceptible human, c is the probability of infection of an uninfected mosquito by biting an infectious human, x is the proportion of infected humans and y is the proportion of infectious mosquitoes. Determine Ro for this model
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