Optimal Control and Qualitative Analysis Using Epidemiological Model for Lumpy Skin Disease (Lsd)

No Thumbnail Available



Journal Title

Journal ISSN

Volume Title


Addis Ababa University


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.



LSD, Optimal Control, Vaccine E_Cacy, Lumpy Skin, Viral In, Fection, Epidemiology, Risk Factors, Epidemic, SIR, SEIR, SIS, Autonomous, Eigenvalues