Open AccessModelling Infectiology of Bursal Disease in Chicks with Control Measures
Author(s) -
Alfred Hugo,
Raymond E. Kitengeso,
Eva Lusekelo
Publication year - 2021
Publication title -
global journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2307-9002
DOI - 10.14419/gjma.v9i1.31774
Subject(s) - pontryagin's minimum principle , infectious bursal disease , sanitation , vaccination , mathematics , disease , maximum principle , control (management) , control theory (sociology) , mathematical optimization , econometrics , medicine , computer science , optimal control , biology , virology , artificial intelligence , pathology , biochemistry , virulence , gene
This paper focuses on mathematical control of infectious bursal disease in chicks. The model boundedness and the control measures to reduce the spreads of the disease have well analytically examined. The theory of Pontryagin’s maximum principle used in analysing necessary conditions to combat the disease. Numerically, forward backward sweep method and fourth-order Runge-Kutta scheme using the forward solution of the state equations was applied. The outcome indicates that the combination of vaccination of chicks and environmental sanitation as the most cost-effectiveness strategy to combat the spread of IBD with limited resources. Therefore, IBD can be controlled if the poultry farmers will effectively apply vaccination of chicks and environmental sanitation.