Mathematical Analysis of a Model for Tuberculosis Transmission Under Treatment and Quarantine
dc.contributor.author | Samira Abdalaziz Hamid Fadul | |
dc.date.accessioned | 2018-09-17T10:01:02Z | |
dc.date.available | 2018-09-17T10:01:02Z | |
dc.date.issued | 2018 | |
dc.description | Thesis Presented as a Partial Fulfillment for MASTER OF SCIENCE IN MATHEMATICS in the Department of Mathematics ALNEELAIN UNIVERSITY | en_US |
dc.description.abstract | Abstract In this study, historical remarks about Tuberculosis epidemic disease, treatment strategies with quarantine has been briefly outlined. We studied two models for Tuberculosis with different treatment strategies with and without quarantine. We presented conditions for positivity and boundedness of solutions for both models. Furthermore, we proved the existence of disease-free equilibrium and endemic equilibrium, and we gave conditions for which these equilibrium are stable. We presented some numerical simulation to investigate effects of quarantine on system dynamics. | en_US |
dc.description.sponsorship | Mohamed Abdalaziz A. Bakheet | en_US |
dc.identifier.uri | http://hdl.handle.net/123456789/12757 | |
dc.language.iso | en | en_US |
dc.publisher | Neelain University | en_US |
dc.subject | Quarantine | en_US |
dc.title | Mathematical Analysis of a Model for Tuberculosis Transmission Under Treatment and Quarantine | en_US |
dc.type | Thesis | en_US |