Abstract

Lumpy skin disease (LSD) is an infectious, fatal skin disease of cattle caused by a virus of the family Poxviridae (genus Capripox). In addition, severely affected animals suffer from reduced weight, cessation of milk production and infertility. The aim of this paper is to computationally apply epidemiological (SEIR) and optimal control (OC) techniques to study the transmission and the impact of vaccination on LSD. Based on our numerical experiments, we were able to deduce the overall impact of the optimal strategy adopted for this study on the cattle population for vaccination rates within the range of 0 ≤ v ≤ 0.85. It is shown that the vaccination as a control strategy significantly reduced the effects of LSD on the cattle population if properly managed and that an optimal performance of the control strategy adopted hererin is achieved at an approximate value of v = 0.6.

Highlights

  • Lumpy skin disease (LSD) has an economical importance because of permanent damage to hides

  • Lumpy skin disease (LSD) is an infectious, fatal skin disease of cattle caused by a virus of the family Poxviridae

  • It is shown that the vaccination as a control strategy significantly reduced the effects of LSD on the cattle population if properly managed and that an optimal performance of the control strategy adopted hererin is achieved at an approximate value of ν = 0.6

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Summary

Introduction

LSD has an economical importance because of permanent damage to hides. It has been reported ([1] [2]) that 10% of animals exposed to LSD experience abortion. Those that congregate in the same barn may be contaminated by the viruses in saliva of the infected animals or ingestion of already contaminated food or by teratogenic agents and suckling calves ([7] [8]). Most studies of epidemic control of LSD focus on increasing immunization coverage (vaccination coverage) in a population to control the disease, but they do not consider how this parameter affects the strategy over a period of time. Though some of these studies have considered vaccination strategy at different levels of immunization, none of them has studied optimal vaccination strategy for LSD disease in Ethiopia. The general objective of this study aims at addressing these shortfalls in order to make the number of infected animals as small as possible

Epidemiological Model Formulation
Optimal Control
Modification of SEIRS Model
Numerical Results and Discussion
Conclusions

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