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HIV population model: At population level, the transmission dynamics of HIV can be viewed as an SI model as everybody, at least the serually active individuals, is susceptible to HIV, and infectives HIV positive patients remain infective and infectious forever. The model become interesting and more realistic if we incorporate a third class of latently infected patients E. In this category, the patients are infected but no yet infectious and they are either in the acute or the asymptomatic phase of HIV progression. This gives rise to an SEI epidemic model that can be modeled by the following system dS ES = A- 8- N ES - kE - μΕ N dt dE dt dI kE – µl dt where A is a constant recruitment rate into the susceptible population, B is the contact rate, u is the natural death rate, k is the rate at which latently infective individual progress to the infective class. Determine Ro for this model

HIV population model: At population level, the transmission dynamics of HIV can be viewed as an SI model as everybody, at least the serually active individuals, is susceptible to HIV, and infectives HIV positive patients remain infective and infectious forever. The model become interesting and more realistic if we incorporate a third class of latently infected patients E. In this category, the patients are infected but no yet infectious and they are either in the acute or the asymptomatic phase of HIV progression. This gives rise to an SEI epidemic model that can be modeled by the following system dS ES = A- 8- N ES - kE - μΕ N dt dE dt dI kE – µl dt where A is a constant recruitment rate into the susceptible population, B is the contact rate, u is the natural death rate, k is the rate at which latently infective individual progress to the infective class. Determine Ro for this model

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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HIV population model: At population level, the transmission dynamics of HIV can be viewed as an SI model as everybody, at least the serually active individuals, is susceptible to HIV, and infectives HIV positive patients remain infective and infectious forever. The model become interesting and more realistic if we incorporate a third class of latently infected patients E. In this category, the patients are infected but no yet infectious and they are either in the acute or the asymptomatic phase of HIV progression. This gives rise to an SEI epidemic model that can be modeled by the following system dS ES = A-B- N ES – kE – µE N dt dE - dt dI kE - μl dt where A is a constant recruitment rate into the susceptible population, B is the contact rate, u is the natural death rate, k is the rate at which latently infective individual progress to the infective class. Determine Ro for this model
Transcribed Image Text:HIV population model: At population level, the transmission dynamics of HIV can be viewed as an SI model as everybody, at least the serually active individuals, is susceptible to HIV, and infectives HIV positive patients remain infective and infectious forever. The model become interesting and more realistic if we incorporate a third class of latently infected patients E. In this category, the patients are infected but no yet infectious and they are either in the acute or the asymptomatic phase of HIV progression. This gives rise to an SEI epidemic model that can be modeled by the following system dS ES = A-B- N ES – kE – µE N dt dE - dt dI kE - μl dt where A is a constant recruitment rate into the susceptible population, B is the contact rate, u is the natural death rate, k is the rate at which latently infective individual progress to the infective class. Determine Ro for this model
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