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This dissertation develops a first-order multivariate Poisson integer-valued autoregressive (MPINAR(1)) model to improve disease outbreak detection in public health surveillance systems. The MPINAR(1) model is proposed as a computationally tractable alternative to the general multivariate...

This dissertation develops a negative binomial integer-valued generalized autoregressive conditional heteroscedastic model of order p, q (negative binomial INGARCH(p, q)) for overdispersed count time series data with potential extreme values. The model is formulated such that its conditional...

The study investigated the integration of Information and Communication Technology (ICT) in the teaching and learning of primary Mathematics in selected schools of Pemba District, Southern Province. Guided by the Technological Pedagogical Content Knowledge (TPACK) framework, the study aimed to...

This study aims to obtain a lower bound on the eigenvalue of the smallest modulus in a general weighted regular Sturm-Liouville problem with mixed boundary conditions. The problem is expressed as -u′′(x) + q(x)u(x) = λr(x)u(x) over the interval [a,b] with u′(a) = u(b) = 0. In 1988 Mingarelli [31]...

Initial Teacher Education is designed to prepare pre-service teachers for teaching and to establish a foundation for continuing professional development (CPD). The objectives of this qualitative case study research were to: establish mathematics preservice student teachers’ conceptions of CPD;...

In the last three decades, there has been a growing interest on how teachers utilise the specialised knowledge for mathematical knowledge in classroom instruction. This study was an inquiry focusing on mathematical knowledge for teaching quadratic equations. The study was a qualitative and sought...

The purpose of the study was to investigate the long-term sustainability of lesson study in teaching and learning mathematics in selected schools in Lusaka district, Zambia. The study utilized a qualitative case study and was based on social constructivism. Six purposively selected teachers of...

The COVID-19 epidemic in Zambia has had significant social and economic impact on the health sector and wellbeing of the population. Hence it is vital to investigate the effect of various Interventions that were implemented to control the spread of the pandemic. Non-pharmaceutical interventions...

The COVID-19 pandemic is the biggest public health and economic challenge the world has faced for the past three years. Since there was no vaccine during the early phase of the pandemic, Botswana imposed lockdown as one of the non-pharmaceutical interventions to mitigate the COVID-19 burden....

This study aimed to determine the maximum likelihood (ML) estimates for the Gamma and Exponential distributions under conditions of left-truncated and right-censored data, employing the Expectation-Maximisation (EM) algorithm. Additionally, it sought to compare the performance of the EM algorithm...