93 resultados para Mathematical thinking


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Academic writing has a tendency to be turgid and impenetrable. This is not only anathema to communication between academics, but also a major barrier to advancing construction industry development. Clarity in our communication is a prerequisite to effective collaboration with industry. An exploration of what it means to be an academic in a University is presented in order to provide a context for a discussion on how academics might collaborate with industry to advance development. There are conflicting agendas that pull the academic in different directions: peer group recognition, institutional success and industry development. None can be achieved without the other, which results in the need for a careful balancing act. While academics search for better understandings and provisional explanations within the context of conceptual models, industry seeks the practical application of new ideas, whether the ideas come from research or experience. Universities have a key role to play in industry development and in economic development.

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A mathematical model for Banana Xanthomonas Wilt (BXW) spread by insect is presented. The model incorporates inflorescence infection and vertical transmission from the mother corm to attached suckers, but not tool-based transmission by humans. Expressions for the basic reproduction number R0 are obtained and it is verified that disease persists, at a unique endemic level, when R0 > 1. From sensitivity analysis, inflorescence infection rate and roguing rate were the parameters with most influence on disease persistence and equilibrium level. Vertical transmission parameters had less effect on persistence threshold values. Parameters were approximately estimated from field data. The model indicates that single stem removal is a feasible approach to eradication if spread is mainly via inflorescence infection. This requires continuous surveillance and debudding such that a 50% reduction in inflorescence infection and 2–3 weeks interval of surveillance would eventually lead to full recovery of banana plantations and hence improved production.