{"title":"A study of fractional bovine tuberculosis model with vaccination on human population","authors":"","doi":"10.28919/cmbn/8162","DOIUrl":null,"url":null,"abstract":"A bacterial and zoonotic disease called bovine tuberculosis (bTB) can be contracted by breathing in aerosols, consuming unpasteurized milk, or eating raw meat. The evolution of bovine tuberculosis transmission in both human and animal populations is investigated in this research using a fractional order model with caputo sensing and a compartment for human vaccination. The threshold quantity R0 was also constructed using Volterratype Lyapunov functions, LaSalle’s invariance principle, and the Routh-Hurwitz criterion to identify the sick state and provide conditions that guarantee the local and global asymptotic stability of the equilibria. In order to determine the variables that control the dynamics of bTB, we performed a sensitivity study. The analysis indicates that factors influencing the spread of bTB include the rate of environmental contamination, the rate of bTB transmission from animal to animal, and the rate at which bTB is contracted by people from infected animals and the environment. However, the disease becomes less common in humans as vaccination rates rise and consumption of the contaminated environment’s products (meat and dairy products) declines. For the management of bTB, it is recommended to implement educational initiatives, monitor the environment, treat affected individuals, administer immunizations, and confine contaminated animals. Numerical experiments are used to show how useful the found theoretical results are.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Biology and Neuroscience","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/cmbn/8162","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
A bacterial and zoonotic disease called bovine tuberculosis (bTB) can be contracted by breathing in aerosols, consuming unpasteurized milk, or eating raw meat. The evolution of bovine tuberculosis transmission in both human and animal populations is investigated in this research using a fractional order model with caputo sensing and a compartment for human vaccination. The threshold quantity R0 was also constructed using Volterratype Lyapunov functions, LaSalle’s invariance principle, and the Routh-Hurwitz criterion to identify the sick state and provide conditions that guarantee the local and global asymptotic stability of the equilibria. In order to determine the variables that control the dynamics of bTB, we performed a sensitivity study. The analysis indicates that factors influencing the spread of bTB include the rate of environmental contamination, the rate of bTB transmission from animal to animal, and the rate at which bTB is contracted by people from infected animals and the environment. However, the disease becomes less common in humans as vaccination rates rise and consumption of the contaminated environment’s products (meat and dairy products) declines. For the management of bTB, it is recommended to implement educational initiatives, monitor the environment, treat affected individuals, administer immunizations, and confine contaminated animals. Numerical experiments are used to show how useful the found theoretical results are.
期刊介绍:
Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.