Browsing by Author "Pokhariyal, Ganesh"
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Item Chemostat Model with Periodic Nutrient Input Described by Fourier Series(Asian Research Journal of Mathematics, 2020) Moindi, Stephene; Ireri, Jane; Pokhariyal, GaneshIn this paper we present a periodic Chemostat model of two species competing for a single nutrient available in limiting supply. The nutrient input is varied periodically using a Fourier series function to take into account the changing patterns as seasons vary. We show both analytically and numerically that varying the nutrient input using a Fourier Series function results in a better model to describe coexistence of species in natural environments.Item Delayed Nutrient Conversion for a Single Species Periodic Chemostat(Journal of Scientific Research & Reports, 2020) Moindi, Stephene; Ireri, Jane; Pokhariyal, GaneshIn this paper we analyze a Chemostat model with periodic nutrient input modelled using Fourier series and incorporate delays in nutrient conversion. We show that both periodicity and delays have complementing influence in the long term behaviour of the species. Numerical results show that periodicity has bigger influence on species density variations for delays below the Hopf Bifurcation point, while for delays above the Bifurcation point,the delay effect is more influentialItem Firm-Level Institutions and Performance of Companies Listed On the Nairobi Securities Exchange, Kenya(International Journal of Economics, Commerce and Management, 2016) Kyongo, Joanes Kaleli; K’Obonyo, Peter; Pokhariyal, Ganesh; Kidombo, HarrietThe objective of the study was to determine the effect of firm-level institutions on the performance of companies listed on the Nairobi Securities Exchange (NSE) and a corresponding hypothesis was formulated and tested. The study targeted Human Resource managers of each of the 64 companies listed on the NSE as at 31 December, 2014 and 34 of them responded. The study adopted the positivist research philosophy and a descriptive survey design. SPSS Version 21 was used to analyze data using simple regression analysis. Research findings from the test of hypothesis established that firm-level institutions have a positive and significant effect on company performance. The study findings support the Resource - BasedView (RBV) which underscores the crucial role of firm-level institutions in company performance. The study recommends further research in non-governmental organizations and small and medium size enterprises using more firm-level institutions.Item Hopf Bifurcation Analysis for a Two Species Periodic Chemostat Model with Discrete Delays(Journal of Advances in Mathematics and Computer Science, 2020) Moindi, Stephene; Ireri, Jane; Pokhariyal, GaneshIn this paper we analyze a Chemostat model of two species competing for a single limiting nutrient input varied periodically using a Fourier series with discrete delays. To understand global aspects of the dynamics we use an extension of the Hopf bifurcation theorem, a method that rigorously establishes existence of a periodic solution. We show that the interior equilibrium point changes its stability and due to the delay parameter it undergoes a Hopf bifurcation. Numerical results shows that coexistence is possible when delays are introduced and Fourier series produces the required seasonal variations. We also show that for small delays periodic variations of nutrients has more influence on species density variations than the delay.Item Human Resource Management Bundles and Performance of Firms Listed on the Nairobi Securities Exchange, Kenya(The International Journal Of Business & Management, 2016) Kyongo, Joanes Kaleli; K’Obonyo, Peter; Pokhariyal, Ganesh; Kidombo, HarrietThe objective of the study was to determine the effect of human resource management (HRM) bundles on the performance of firms listed on the Nairobi Securities Exchange (NSE) and a corresponding hypothesis was formulated and tested. The study targeted human resource managers of each of the 64 companies listed on the NSE as at December, 2014, and 34 of them responded. The study adopted a positivist research philosophy and a descriptive survey design. SPSS Version 21 was used to analyze data using regression analysis. The research findings from the test of hypothesis established that HRM bundles had a significant effect on firm performance. The research findings support the Ability-Motivation-Opportunity (AMO) Theory which underscores the crucial role of HRM bundles in firm performance. The study recommends further investigation of the study variables in other types of organizations such as learning institutions and non-governmental organizations.Item Management Competence and Performance of Firms Listed On the Nairobi Securities Exchange, Kenya(Canadian Open Management Journal, 2016) Kyongo, Joanes Kaleli; K’Obonyo, Peter; Pokhariyal, Ganesh; Kidombo, HarrietThe objective of the study was to determine the effect of management competence on the performance of firms listed on the Nairobi Securities Exchange and the corresponding hypothesis was formulated and tested. The study targeted human resource managers of each of the 64 firms listed on the Nairobi Securities Exchange as at December, 2014, and 34 of them responded. The study adopted the positivist research philosophy and a descriptive survey design. Statistical Package for Social Sciences (SPSS) Version 21 was used to analyze data using regression analysis. Research findings from the test of hypothesis established that management competence has positive and significant effect on firm performance. The study finding supports the Resource-Based View and Knowledge Space Theory which underscore the crucial role of management competence in company performance. The study recommends further investigation of the study variables in non-governmental organizations, small and medium sized enterprises and faith-based organizations.