In this paper, a discretization of a three-dimensional fractional-order prey-predator model has been investigated with Holling type III functional response. All its fixed points are determined; also, their local stability is investigated. We extend the discretized system to an optimal control problem to get the optimal harvesting amount. For this, the discrete-time Pontryagin’s maximum principle is used. Finally, numerical simulation results are given to confirm the theoretical outputs as well as to solve the optimality problem.
In this work ester derivatives were synthesized by the reaction of imidazole derivatives (C1) with ethylchloroacetate in ethanol and NaOH to give the corresponding (C2) .While compound (C3) acetohydrazide was synthesized by the reaction of ester derivatives (C2) with hydrazine hydrat in ethanol. Compound (C3) from the reaction with different aromatic aldehydes in absolute ethanol gave the Schiff′s bases (C4,C5). The product compounds were characterized by FT-IR, U.V and 1HNMR spectra and the biological activities were studied as antibacterial.
Three hospitals were chosen(Maternity hospital, Raperin hospital and Rhizgari hospital) for the present survey within Erbil city. Water samples were collected at regular monthly interval periods beginning in January 2012 to December 2012. pH of all the studied sites were found to be up 7. Electrical conductivity ranged from (1318-1790 μs.cm-1 in Maternity Hospital, 1770-2232 μs.cm-1 in Raperin Hospital, 1010-1615 μs.cm-1 in Rhizgari Hospital). BOD5 and COD values ranged from 22- 80 mg.L1 and 280- 1410 mg.L-1 respectively, this indicated a high pollution situation in the studied sites in respect to organic matter content. The quantitative analysis of counted microorganisms was more than that describe by WHO guidelines standard.
Four new binuclear Schiff base metal complexes [(MCl2)2L] {M = Fe 1, Co 2, Cu 3, Sn 4, L = N,N’-1,4-Phenylenebis (methanylylidene) bis (ethane-1,2-diamine)} have been synthesized using direct reaction between proligand (L) and the corresponding metal chloride (FeCl2, CoCl2, CuCl2 and SnCl2). The structures of the complexes have been conclusively determined by a set of spectroscopic techniques (FT-IR, 1H-NMR, and mass spectra). Finally, the biological properties of the complexes have been investigated with a comparative approach against different species of bacteria (E. coli G-, Pseudomonas G-, Bacillus G+,
... Show MoreThe present study focuses on the biological strategy for treating cancer and parasitic infections, such as leishmaniasis antiparasitic activity, forthe crude alcoholic extract ofFicus leaves and their extracted total flavonoids with a comparison between their effects.The flavonoids were extracted from the leaves of the mature Ficuscaricausing the reflux extraction method. Total flavonoids were detected qualitatively by TLC techniquewhich demonstratedthat the plant was rich indifferent flavonoids, especially Rutin, Quercetin, Kaempferol, luteolin and others. Quantitatively, the plant total flavonoids content was 337.3 mg / 100 g fig leaves calculated as rutin.The biologicaleffects of the crude and purified total flavonoi
... Show MoreThe research aims to develop and build a plasma jet system operating under atmospheric pressure.for biological purposes. The advanced plasma system consists of a power supply and a plasma torch. The source of the development of the system is a previous laboratory system that was developed by changing the voltage and frequency of the power supply, as the power provider equips the system with a voltage in the form of a sine wave whose value is fixed at about (7.5kV) peak to peak and its frequency is about (28 kHz). The plasma torch consists of a teflon tube with of width of (10 m ) located at (10mm) from the end of the tube. The current waveform and voltage wave were measured using a current and voltage sensor and an oscilloscop
... Show MoreDoppler broadening technique is suggested to monitor the development of tumours. It depends on the sensitivity of positronium (Ps) annihilation parameters to the sub- microstructural changes in biological tissues. This technique uses high resolution HpGe detector to measure the lineshape parameters (S and W) in normal mice's mammary tissues and adenocarcinoma mammary tissues as a function of tumour growth. The results demonstrate that the central parameter (S) decreases and the wing parameter (W) increases as the tumour grow. It is found that the S parameter changes considerably with the distribution of voids which are affected by the tumour development. Therefore the present technique can successfully be employed to monitor the developm
... Show MoreIn this research we have been studied the 3rd order spherical aberration for an optical system consisted of obscured circular aperture with non central circular obscuration through the calculation of point spread function (P.S.F) in presence of the obscuration in the center and comparing the obtained results with that results of moving obscuration far away from the center, where the results showed significant improvement for(P.S.F) value. The study was done of different obscurities ratios in addition to the different 3rd order spherical aberration values (W40=0.25 ,0.5 ,0.75 ,1 ).
In this paper we prove the boundedness of the solutions and their derivatives of the second order ordinary differential equation x ?+f(x) x ?+g(x)=u(t), under certain conditions on f,g and u. Our results are generalization of those given in [1].