Research ArticleOpen accessIn the keywordsOne-Dimensional Simulation of Diffusion and Advection Effects in Enzymatic Hydrolysis of CelluloseNorazaliza Mohd Jamil, Qi WangEnzymatic hydrolysis process to transform lignocellulosic cellulose into sugar in a bioreactor tank involves different controlling factors such as advection, diffusion and fragmentation of cellulose chains. Although it has been observed experimentally that enzymatic hydrolysis is strongly influenced by the environmental effects in a tank, these effects have not been adequately quantified. In this study, a current kinetic model for … …American Journal of Applied Sciences, Vol. 13, Issue 7 · 13 Jul 2016 · 7,216 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSome Contributions to the Theory of Abstract Degenerate Volterra Integro-Differential EquationsMarko KostićIn this study, we contribute to the existing theory of abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces. We investigate a class of abstract degenerate Volterra inclusions by using the multivalued linear operator approach, as well as a class of abstract degenerate multi-term fractional differential equations with Caputo derivatives by using the pure Laplace transform techniques. …Journal of Mathematics and Statistics, Vol. 12, Issue 2 · 17 Jun 2016 · 7,406 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Dynamics of a General Predator-Prey SystemM. M.A. El-Sheikh, S. A.A. El-Marouf, Z. M. AlaofyProblem statement: In this study a general two dimensional predator-prey model is considered. The dynamic and existence of equilibrium points are studied. Conclusion/Recommendations: Hopf bifurcation is discussed. The existence and uniqueness of limit cycles is proved. Special cases are considered to justify our results. …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,322 accessesView PDFCite
Research ArticleOpen accessIn the keywordsInstrument of Primary School Teacher CompetencyAbdulghani M. Alnoor, Ma HongyuProblem statement: The study aimed to investigating the Primary School Teacher Competency (PSTC) and design an PSTC instrument to reflect state standard and use this instrument to compare and evaluate primary school teacher competency. Approach: For this reason, the researcher formulated the following question. What are the necessary teaching competencies of Primary School Teachers (PSTC)? To find answer to the … …Journal of Social Sciences, Vol. 7, Issue 4 · 16 Sep 2011 · 8,817 accessesView PDFCite
Research ArticleOpen accessIn the keywordsModeling Tourist Arrivals in Destination Countries: An Application to Australian TourismS. A.H. Shobeiri Nejad, Gurudeo Anand TularamProblem statement: Little study is evident of mathematical modeling regarding tourist arrivals in South East Queensland of Australia. In this study the Bulter conceptual destination life cycle and product life cycle frameworks are used to develop an overall determinant mathematical model of Australian tourist arrivals. The model will be calibrated using real Australian data. A more complex dynamic is also … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,915 accessesView PDFCite
Research ArticleOpen accessIn the keywordsObject Identity, Apparent Motion, Transformation GeometryFelice L. Bedford, Birgitta E. ManssonProblem statement: A classic question in cognition was addressed on how two glimpses separated in time are determined to refer either to the same object or to two different objects, without which coherent perception of the world is not possible. Approach: A general solution was offered in which observers exploit an entire family of geometries. It was argued that a … …Current Research in Psychology, Vol. 1, Issue 1 · 30 Jun 2010 · 9,618 accessesView PDFCite