This study has contributed to understanding a delayed prey-predator system involving cannibalism. The system is assumed to use the Holling type II functional response to describe the consuming process and incorporates the predator’s refuge against the cannibalism process. The characteristics of the solution are discussed. All potential equilibrium points have been identified. All equilibrium points’ local stability analyses for all time delay values are investigated. The system exhibits a Hopf bifurcation at the coexistence equilibrium, which is further demonstrated. The center manifold and normal form theorems for functional differential equations are then used to establish the direction of Hopf bifurcation and the stability of the periodic solution. To demonstrate the key findings, various numerical simulations are then run.
In this paper two modifications on Kuznetsov model namely on growth rate law and fractional cell kill term are given. Laplace Adomian decomposition method is used to get the solution (volume of the tumor) as a function of time .Stability analysis is applied. For lung cancer the tumor will continue in growing in spite of the treatment.
This study revolves around the rapid changes of science and a comparison of the formal and practical aspects and the reason behind summoning the changes and their types, which are subject to the influence of the recipient. This transformation represents formal and intellectual production cycles and formal functional generation that is subject to the goals of the system of multiple differences at the level of time and place. It meets the needs and the request for change, but access to it comes through multiple systems and portals that are different from the normal and the usual, so this study was called (meta and its dimensions in the designed biological formation (virtual reality environment - a model). The research seeks to find solutio
... Show MoreBecause of its importance in the world, Middle East area is one of the competition areas between the major and great powers. Among those powers are Russia and United states of America. The competition between these two powers to control Syria is greatly clear since 2011. It is also one of the most important subject in the international politics. This importance comes from the importance of Russia and the United States of America besides importance of the Middle East. At the end of the cold war, United States of America maintained its role in the international system and became the only pole that dominated the international affairs while Russia tried to overcome the challenges inherited from the former Soviet Union, and it succeeded in th
... Show MoreThe predator Melanthrips pallidior Priesner regarded as a new record in Baghdad. The specimens were collected from alfalfa field during April 2010 to April 2011 in Abu-Gharib. Morphological characters of different body parts were studied and compared with other specimens by using taxonomic keys.
This research sheds light on those discrepancies in the use of ornaments, adornment and perfumes, as well as the art of cosmetics, in two important civilizations, namely, the Mesopotamian civilization as the earlier civilization, and the civilization of Yemen, which represents the first Arab civilization. Through the foregoing, our research includes two topics, the first topic included the history of the use of decorations, ornaments and perfumes in the civilization of Mesopotamia, while the second topic included the study of ornaments, adornment and cosmetic art in the ancient civilization of Yemen. And then the research came out with a number of conclusions that the researcher considers very important to highlight the differences and f
... Show MoreComputer analysis of simple eye model is performed in the present work by using the Zemax optical design software 2000E . The most important optical parameters of the eye were calculated such as the effective focal length (EFL) , the image spot size at the retina and found to be in a reasonable agreement with the values needed for the laser retinal treatment .The present eye model leads to an effective wavelength and we found the image spot diagram at the surface of the retina and the wavefront error which are provided at zero field angle. This gives a good evidence of the validity of the model in one hand, and can be used to determine the compatibility of any optical design intended for visual applications. By using the pulse fre
... Show MoreIn this paper, we propose a new approach of regularization for the left censored data (Tobit). Specifically, we propose a new Bayesian group Bridge for left-censored regression ( BGBRLC). We developed a new Bayesian hierarchical model and we suggest a new Gibbs sampler for posterior sampling. The results show that the new approach performs very well compared to some existing approaches.
The theory of Pilgrims in the Magra is based on Dekru's view that the mgha is considered a pilgrim, and that the pilgrims are pilgrims
Tujia purely exposes the abstract temptation structure, and that the discharge of the Mfezouz Mfarouz is through factors
This theory tends to highlight the role of pilgrim function as a language
There is no preservation unless directed towards a particular outcome. Gemma can include morphine blindness
Or formulas that allow for the presentation of a pilgrimage to a writer in addition to the content of the news, and the guidance of the recipient
In one direction or another.
The orbital masses are one of these morphines and functional components that achieve function
The Togolese
The internet, unlike other traditional means of communication, has a flexibility to stimulate the user and allows him to develop it. Perhaps, the reason for the superiority of the internet over other traditional means of communication is the possibility of change and transmission from one stage to another in a short period. This means that the internet is able to move from the use to the development of the use and then the development of means and innovation as the innovation of the internet is a logical product of the interaction of the user with the network. The internet invests all the proposals and ideas and does not ignore any even if it is simple. This is represented in social networking sites which in fact reflects personal emotio
... Show MoreSurficial sediment samples were collected from four stations at Shatt Al-Hilla from Western Zoer area to Almaimirh in Babylon province for the period from August 2016 to April 2017.The level of contamination in the sediments of Shatt Al-Hilla, by Lead (Pb), Copper (Cu), Nickle (Ni), Manganese (Mn), Zinc (Zn), Arsenic (As), and Cobalt (Co) has been evaluated using the index of Geo-accumulation (I-Geo), Contamination factor (CF), pollution load index (PLI) and Potential ecological risk index (Eire). In the present study the levels of heavy metals in sediment samples were found in the range of (10-15.22 ppm) for Pb, (25.6-46.09 ppm) for Cu,(144.9-413.7 ppm) for Ni, (666.1- 906.3 ppm) for Mn, (68.69- 119.2 ppm) for Zn, for As (5.22- 8.25 ppm
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