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Modelling And Simulation Of The Spread Of Hbv Disease With Infectious Latent
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HBV control measures include vaccination, education, screening of blood and blood products; and treatment (CDC, 2005).
According
to (Anderson and May, 1991) stated that epidemiological models help to
capture infection or disease transmission mechanisms in a population in a
mathematical frame-work in order to predict the behavior of the disease
spread through the population.
1.2 STATEMENT OF PROBLEM
What
really instigated the study was the massive spread of HBV in Nigeria and
most of the African countries. Several efforts has been put in place by
the federal government of Nigeria and world health organization (WHO)
through the ministry of health in Nigeria to combat HBV.
Secondly mathematicians all over the world have come with up with
several model to help solve the model and simulate the spread of HBV;
there have been a lot of failed model.
1.3 AIMS AND OBJECTIVES OF STUDY
The
main aim of the research work is evaluate the modeling and simulation
of the spread of HBV with infectious latent. Other specific objectives
of the study include:
1. To find the existence and uniqueness of the solution to the model
2.
To carry out sensitivity analysis on Ro to ascertain which parameter
that is most sensitive and that should be targeted by way of
intervention.
3. To examine the local stability of the model equation using the modified implicit function theorem
1.4 RESEARCH QUESTION
The
study came up with research questions so as to ascertain the above
stated objectives. The research questions are stated below as follows:
1. How to find the existence and uniqueness of the solution to the model?
2.
How to carry out sensitivity analysis on Ro to ascertain which
parameter that is most sensitive and that should be targeted by way of
intervention?
3. How to perform the local stability of the model equation using the modified implicit function theorem?
1.5 SIGNIFICANT OF STUDY
The
study on modeling and simulating of the spread of HBV disease with
infectious latent will be of immense benefit to the ministry of health
of Nigeria, the World health organization (WHO) and other researchers
that wishes to carryout similar research on the above topic as it will
discuss the local stability of the model equation using the modified
implicit function theorem and also sensitivity analysis on Ro to
ascertain which parameter that is most sensitive and that should be
targeted by way of intervention
1.6 SCOPE OF STUDY
The study on
modeling and simulation of the spread of HBV disease with infectious
latent will cover the areas of local stability of the model equation and
implicit function theorem
1.7 DEFINITION OF TERMS
HBV: Hepatitis B
virus is a viral infection that attacks the liver and can cause both
acute and chronic disease. The virus is transmitted through contact with
the blood or other body fluids of an infected person.
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