Evaluation of the anthelmintic properties of a traditional remedy based on a mixture of red algae using an in vitro assay on gastrointestinal nematodes of donkeys
OJC-Vol. 4 (2021), Issue 1, pp. 1 – 7 Open Access Full-Text PDF
Michela Maestrini, Marcelo Beltrão Molento, Simone Mancini, Francesco Saverio Robustelli della Cuna, Giovanni Furnari, Donatella Serio, Laura Cornara, Stefania Perrucci
Abstract: The anthelmintic properties and composition of an Italian traditional anthelmintic remedy based on a red algae mixture (RAE) was assessed using the egg hatch test (EHT). The ability of different dilutions \((1.0, 5.0, 50,\) or \(100%)\) of RAE was determined and compared with the positive and negative controls against gastrointestinal nematode (GIN) of donkeys. The experiment was performed in triplicate. Data were analysed using the ANOVA and Tukey test. In the mixture, Palisada tenerrima, Laurencia intricata and Laurencia spp. red algae were identified. The $100\%$ RAE was able to totally inhibit the egg hatch, showing an efficacy comparable \((P < 0.05)\) to that of the reference drug \((98.7%)\). An egg hatch reduction of \(89.5, 43.7\), and \(23.4%\) was observed at \(50, 5\) and \(1%\) dilutions, respectively. In conclusion, RAE was able to inhibit the egg hatch of GIN of donkeys in a concentration-dependent manner with a correlation coefficient \((R2)\) of $0.968$, corroborating with its anthelmintic effect.
Čebyšev inequalities for co-ordinated \(QC\)-convex and \((s,QC)\)-convex
EASL-Vol. 4 (2021), Issue 1, pp. 14 – 20 Open Access Full-Text PDF
B. Meftah, A. Souahi
Abstract: In this paper, we establish some new Čebyšev type inequalities for functions whose modulus of the mixed derivatives are co-ordinated quasi-convex and \(\alpha\)-quasi-convex and \(s\)-quasi-convex functions.
A model of dual latency compartments for the transmission dynamics of COVID-19 in Oyo state, Nigeria
EASL-Vol. 4 (2021), Issue 1, pp. 1 – 13 Open Access Full-Text PDF
O. Adedire, J. N. Ndam
Abstract: In this study, a mathematical model of dual latency compartments is developed to investigate the transmission dynamics of COVID-19 epidemic in Oyo state, Nigeria. The model consists of non-pharmaceutical control strategies which include the use of face masks, social-distancing and impact of mass-media on the spread of novel coronavirus in the state. Results indicate control reproduction number \(R_C = 1.4\) with possibilities of high constructive influence of mass-media. Thus, at the fitted values of \(\sigma _f = 0.1,\; \sigma _d = 0.1,\;\sigma _m = 0.6\), the peak of the COVID-19 epidemic is attained after 59,217 infectious quarantined individuals and 328,440 infectious but not quarantined individuals have contracted COVID-19 in about 439 and 443 days respectively from the date of the first incidence. Therefore, efforts on mass-media with programs that can inform the people on effective use of face masks, social-distancing and other safety measures can aid reduction of reproduction number to a value below 1 necessary for eradication of the disease.
On the solutions of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary
OMA-Vol. 5 (2021), Issue 1, pp. 9 – 21 Open Access Full-Text PDF
J. Ferreira, E. Pişkin, S. M. S. Cordeiro, C. A. Raposo
Abstract: In this paper, we are concerned with the existence and uniqueness of global strong solution of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary.
Super cyclic antimagic covering for some families of graphs
OMS-Vol. 5 (2021), Issue 1, pp. 27 – 33 Open Access Full-Text PDF
Muhammad Numan, Saad Ihsan Butt, Amir Taimur
Abstract: Graph labeling plays an important role in different branches of sciences. It gives useable information in the study of radar, missile and rocket theory. In scheme theory, coding theory and computer networking graph labeling is widely employed. In the present paper, we find necessary conditions for the octagonal planner map and multiple wheel graph to be super cyclic antimagic cover and then discuss their super cyclic antimagic covering.
General decay of the double dispersive wave equation with memory and source terms
OMA-Vol. 5 (2021), Issue 1, pp. 1 – 8 Open Access Full-Text PDF
Mohamed Mellah
Abstract: The double dispersive wave equation with memory and source terms \(u_{tt}-\Delta u-\Delta u_{tt}+\Delta^{2}u-\int_{0}^{t}g(t-\tau)\Delta^{2}u(\tau)d\tau-\Delta u_{t}=|u|^{p-2}u\) is considered in bounded domain. The existence of global solutions and decay rates of the energy are proved.
