A tuberculosis model: The case of ‘reasonable’ and ‘unreasonable’ infectives |
| |
Authors: | Farai Nyabadza Simon Mukwembi |
| |
Institution: | a South African Center of Epidemiological Modelling and Analysis, University of Stellenbosch, 19 Jonkershoek Road, Stellenbosch, 7600, South Africa b School of Mathematical Sciences, University of KwaZulu Natal, Westiville Campus, P Bag X54001, Durban, South Africa |
| |
Abstract: | Epidemics such as tuberculosis (TB), can be represented by a finite number of states and transition rules that govern the spread of the disease in each discrete time step. This paper uses a graph theoretic approach to investigate TB interactions in a community where infectives are categorized. A threshold value, , for ‘reasonable’ infectives is proposed. The results show that an epidemic will not ensue as long as the threshold is surpassed. Simulations presented show that unreasonable infectives can amplify the epidemic. |
| |
Keywords: | Tuberculosis Graph Contacts Transition States |
本文献已被 ScienceDirect 等数据库收录! |
|