Phase Plane Analysis of Linear Systems in Dynamic Mathematical Models
- Authors: Marange, Simukai Daniel
- Date: 2019
- Subjects: Mathematical models
- Language: English
- Type: Thesis , Masters , MSc
- Identifier: http://hdl.handle.net/10353/14715 , vital:40064
- Description: A plethora of dynamic mathematical models exist and to understand and master all of them would be a gargantuan task. The author had, nonetheless, attempted to outline some of the methods used to analyse linear systems in modeling. Systems techniques are fundamental to current research in molecular cell-biology. The systems-approach stands in stark contrast to the historically, reductionist paradigm of molecular biology. Field work can be very dangerous. The main purpose of this study was to come up with the best analysis that would be used without going to the real field and thus saving time, money and risks associated with remote field localities. This research showed that the best analysis depends on the nature of the objectives intended to be solved by the model. Phase plane analysis on linear systems assisted in gaining deeper knowledge on the characteristics of such systems. This work analysed some dynamic models looking at phase planes, bifurcation, sensitivity and stability. The research provided a qualitative analysis of the processes not a numerical analysis.
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An assessment of challenges of reporting by TVET collages to the department of Higher Education and Training using a web-based monitoring and evaluation instrument : the case of two selected TVET colleges in the Eastern Cape
- Authors: Siwa, Monwabisi
- Date: 2018
- Subjects: Automatic control -- Data processing TVET Colleges
- Language: English
- Type: Thesis , Masters , MPA
- Identifier: http://hdl.handle.net/10353/17305 , vital:40936
- Description: The effective and efficient functioning of Technical Vocational Education and Training (TVET) colleges is pertinent to the development of critical and scares skills for the South African labour market. In this research, I examined the challenges facing the reporting by TVET colleges to the Department of Higher Education and Training (DHET) using a web-based M&E and reporting framework for TVET colleges. I presented what was the form of reporting by TVET colleges to DHET before the introduction of M&E and reporting framework for TVET colleges in 2015.To this end, M&E and reporting is pivotal in the effective and efficient running of these institutions. In this research, I presented the evolution of the TVET Sector and reviewed literature on monitoring and evaluation, challenges of reporting by TVET colleges to DHET and the role of professional support needed to be given to the sector on monitoring and evaluation. Qualitative method and a case study methodology was used to investigate the challenges of reporting to DHET by TVET colleges. I used semi-structured interview with 4 participants from two selected colleges in the Eastern Cape. I employed interpretive paradigm and content analysis in interpreting and analysing data collected. I presented summary, findings, recommendations and conclusion. The topics for further research were also sponsored in this study.
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