Optimal Control And Qualitative Analysis Using Epidemiological Model For Lumpy Skin Disease (lsd)

Lumpy skin disease (LSD) is an infectious, eruptive, now and thenrnmortal disease of cattle. Generally it is skin disease which is caused by arnvirus of the family Poxviridae. LSD disease damages cattle's hides, becausernof this it has economically importance. As a result of seriously a_ected an-rnimals by the disease there exist losses of weight, as a result of inammationrntemporary or permanent reduction of milk production, as a consequence ofrnorchitis temporary or permanent infertility or even sterility in bulls, andrnabortion in approximately 10 % of infected pregnant [10],(Birhanu,H. andrnGezahign,A.,[5].rnThe study was undertaken to investigate outbreaks of lumpy skin diseasern(LSD), based on the research that had been taken by researchers on thisrnarea and model for controlling optimally. We used epidemiological modelrnand Optimal control for the analysis of transmission of disease and the costrnof control (vaccination). Mainly this thesis focus on the process for analyz-rning and computationally illustrate for optimally controlling of disease, andrnits factors.

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