The present study is an attempt to find a solution for Volterra's Population Model by utilizing Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear integro-differential equation. First, the Volterra's Population Model is converted to a nonlinear ordinary differential equation (ODE), then researchers solve this equation (ODE). The accuracy of method is tested i...

A system in balance? – Implications of deep vertical mixing for the nitrogen budget in the northern Red Sea, including the Gulf of Aqaba (Eilat) C. Häse, M. Al-Qutob, Z. Dubinsky, E. A. Ibrahim, B. Lazar, N. Stambler, and M. M. Tilzer ZMT Bremen, 28359 Bremen, Germany Department of Life Sciences, Bar Ilan University, Ramat Gan, Israel Department of Biology, Faculty of Science and Technology, Al...

This study assessed gender differences in oral health knowledge, attitude and behaviour among undergraduate dental students in Palestine. Students aged 18-22 years at Al Quds University (n=260) completed the English version of the Hiroshima University-Dental Behavioral Inventory. Females had more positive dental health attitudes and behaviours (making regular visits the dentist, being more educ...

This work investigates the performance of Differential Evolution (DE) and its opposition-based version (ODE) on large scale optimization problems. Opposition-based differential evolution (ODE) has been proposed based on DE; it employs opposition-based population initialization and generation jumping to accelerate convergence speed. ODE shows promising results in terms of convergence rate, robus...

We suggest an approach for description of integrable cases of the Abel equations using the procedure of increasing the order and equivalence transformations for the induced secondorder equations. A diversity of methods were developed to date for finding solutions of nonlinear ordinary differential equations (ODE). Everybody who encounters integration of a particular ODE uses, as a rule, the acc...

Nicotinic acetylcholine receptors (nAChRs) of parasitic nematodes are required for body movement and are targets of important "classical" anthelmintics like levamisole and pyrantel, as well as "novel" anthelmintics like tribendimidine and derquantel. Four biophysical subtypes of nAChR have been observed electrophysiologically in body muscle of the nematode parasite Oesophagostomum dentatum, but...

Ordinary differential equation (ODE) models, e.g. the susceptible-infected-recovered model, are widely used in engineering, ecology, and epidemiology. Many ODE models

We derive a second-order ordinary differential equation (ODE), which is the limitof Nesterov’s accelerated gradient method. This ODE exhibits approximate equiv-alence to Nesterov’s scheme and thus can serve as a tool for analysis. We show thatthe continuous time ODE allows for a better understanding of Nesterov’s scheme.As a byproduct, we obtain a family of schemes with similar ...