Optimal Control and Qualitative Analysis Using Epidemiological Model for Lumpy Skin Disease (Lsd)
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Date
2017-10-15
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Addis Ababa University
Abstract
Lumpy skin disease (LSD) is an infectious, eruptive, now and then
mortal disease of cattle. Generally it is skin disease which is caused by a
virus of the family Poxviridae. LSD disease damages cattle's hides, because
of this it has economically importance. As a result of seriously a_ected an-
imals by the disease there exist losses of weight, as a result of inammation
temporary or permanent reduction of milk production, as a consequence of
orchitis temporary or permanent infertility or even sterility in bulls, and
abortion in approximately 10 % of infected pregnant [10],(Birhanu,H. and
Gezahign,A.,[5].
The study was undertaken to investigate outbreaks of lumpy skin disease
(LSD), based on the research that had been taken by researchers on this
area and model for controlling optimally. We used epidemiological model
and Optimal control for the analysis of transmission of disease and the cost
of control (vaccination). Mainly this thesis focus on the process for analyz-
ing and computationally illustrate for optimally controlling of disease, and
its factors.
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Keywords
LSD, Optimal Control, Vaccine E_Cacy, Lumpy Skin, Viral In, Fection, Epidemiology, Risk Factors, Epidemic, SIR, SEIR, SIS, Autonomous, Eigenvalues