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

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

Biology Today and Tomorrow without Physiology (MindTap Course List)

5th Edition

ISBN:9781305117396

Author:Cecie Starr, Christine Evers, Lisa Starr

Publisher:Cecie Starr, Christine Evers, Lisa Starr

Chapter15: Animal Evolution

Section: Chapter Questions

Problem 1CT

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