Following the absence of a definite treatment for the human immunodeficiency virus (HIV) or the acquired immune deficiency syndromes (AIDS) since their appearance, many scientific studies with the help of mathematical models have been formulated to the extent possible to prevent and eradicate the disease. In this article we have formulated a mathematical model that explores the dynamics of the impact of the use of condom and therapeutic treatment simultaneously, as a means (tools) against the spread of HIV/AIDS in the heterosexual population. The proposed model uses a nonlinear differential equation system consisting of seven (7) differential equations in seven (7) groups of the population. The model takes into account natural birth rate of the studied population, and the proportion of infected males, which simultaneously uses condom and antiretroviral therapy. The model explores the behavioral change of proportion of infected individuals in the population following the application of control measures (condom use and antiretroviral therapy). It is proved that the effectiveness of preventive measures greatly depends on a number of parameters described. In addition, the results of numerical experiments showed that in the absence of both preventive measures, the entire population is contaminated with the infection. The interaction of the model parameters show that the population with high levels of condom use in the presence of significant adherence to antiretroviral therapy as prophylaxis significantly reduces the level of HIV/AIDS. Thus, prevention of infection is significantly improved with the increasing number of the infected population using condoms and antiretroviral therapy simultaneously
This article discusses the mathematical and numerical modeling of the immune system of the course of HIV infection without treatment. Presently a significant number of scientific papers are devoted to the study of this problem. However, HIV infection is highly volatile and there is no effective drug, in that HIV has the ability to mutate and reproduce itself in the presence of chemical substances that are meant to inhibit or destroy it. The mathematical models used in this paper are conceptual and exploratory in nature. The proposed mathematical model allow us to obtain a complete description of the dynamics of HIV infection, and also an understanding of the progression to AIDS.
Thus, the results of the numerical solution of differential equations in this work show that: the disease develops, and at low concentration of the virus, a certain level of stability does not depend on the initial concentration of infestation. In the absence of treatment, for interesting competition between virus and the loss of virus caused by immune response should be strictly greater than the rate of multiplication of the virus in the blood; the reproduction rate of the uninfected cells should be stricly greater than the mortality rate of the uninfected cells
It is known that transmission coefficient of quartz glass containing the same amount of 28Si and 30Si in the silicon optical fiber is lesser than in commercial LEDs for telecommunications. Therefore it is topical to develop the method of optical glass formation with specified isotope composition in the core and in the shell. The article provides an analysis of physical and chemical processes occurring at the formation of quartz optical fiber blanks by vapor deposition from the gas phase. It is shown that the part of the silicon tetrachloride oxidation stages passes through the radical processes. Therefore for quartz glass formation with specified isotope composition it is possible to use the paramagnetic phenomena caused by the external magnetic field in a high-temperature flow at the quartz glass chemical deposition from the vapor phase. In this case alloy additive using is not necessary. Alloy additives can form density inhomogeneities in the glass. Simultaneous silicon glass formation and silicon isotope separation process bring to significant reduction of the fiber cost in comparison with isotope-enriched materials using. The permanent magnets can be used for magnetic field formation at existing process units
The paper discusses the modeling and prediction of the climate of our planet with the use of artificial intelligence AIDOS-X. We have developed a number of semantic information models, demonstrating the presence of the elements of similarity between the motion of the lunar orbit and the displacement of the instantaneous pole of the Earth. It was found that the movement of the poles of the Earth leading to the variations in the magnetic field, seismic events, as well as violations of the global atmospheric circulation and water, and particular to the emergence of episodes such as El Niño and La Niña. Through semantic information models studied some equatorial regions of the Pacific Ocean, as well as spatial patterns of temperate latitudes, revealed their relative importance for the prediction of global climatic disturbances in the tropical and temperate latitudes. The reasons of occurrence of El Niño Modoki and their relationship with the movement of elements of the lunar orbit in the long-term cycles are established. Earlier, we had made a forecast of the occurrence of El Niño episode in 2015. Based on the analysis of semantic models concluded that the expected El Niño classical type. On the basis of the prediction block AIDOS-X calculated monthly evolution scenario of global climate anomalies. In this paper, the analysis of the actual implementation forecast of El Niño since its publication in January 2015 - before June 2015. It is shown that the predicted scenario of climatic anomalies actually realized. Calculations of future climate scenarios with system «Aidos-X» recognition module indicate that further possible abnormal excess temperature indicators of surface ocean waters in regions Nino 1,2 and Nino3,4 for 2015 may be comparable with similar abnormalities in the catastrophic El Niño of 1997-1998.
The article presents the simulation of non-linear spatial-temporal color oscillations in Yang-Mills theory in the case of SU (2) and SU (3) symmetry. We examined three systems of equations derived from the Yang-Mills theory, which describes the transition to chaotic behaviour. These transitions are caused by nonlinear vibrations of colour, depending on the model parameters - the coupling constants and the initial wave amplitude. Such transitions to chaotic behaviour by increasing the parameters are characteristic of hydrodynamic turbulence. A model of spatial-temporal oscillations of the Yang-Mills theory in the case of three and eight colors. The results of numerical simulation show that the nonlinear interaction does not lead to a spatial mixing of colors as it might be in the case of turbulent diffusion. Depending on the system parameters there is a suppression of the amplitude of the oscillations the first three of five colors or vice versa - the first three five other colors. The kinetic energy fluctuations or shared equally between the color components, or dominated by the kinetic energy of repressed groups of colors. Note that the general property of physical systems described by nonlinear equations in the Yang-Mills theory and hydrodynamics is particularly strong in the formation of quark-gluon plasma and hadrons jets, when the Yang-Mills is involved in the formation of hydrodynamic flow. Note that there is a relationship between the Einstein and Yang-Mills theory, on the one hand, Einstein's equations and hydrodynamics - on the other. All of this points to the existence in the nature of a general mechanism of formation of a special type of turbulence - geometric turbulence
The steady increase in demand for isotopes requires the
development of methods to increase the efficiency of
isotope separation technologies. Methods of isotope
separation based on thermodynamic differences of
isotopic forms of the molecules don't require significant
investment, but characterized by a low rate of exchange.
It's known that the magnetic effect leads to a change the
vibrational frequency of the molecules, and therefore
their thermodynamic parameters. The change increases
the thermodynamic parameters, including the exchange
rate. The results of the experimental determination of the
thermal effect of dissolving the salts of NaCl, KCl,
CuSO4, sodium amalgam decomposition by distillate in
a magnetic field and without field were shown. Magnetic
interference can have a significant effect on the amalgam
exchange method which was shown by quantum and
mechanical analysis of the results
In the article the application of systemic-cognitive analysis and its mathematical model i.e. the system theory of the information and its program toolkit which is "Eidos" system for loading images from graphics files, synthesis of the generalized images of classes, their abstraction, classification of the generalized images (clusters and constructs) comparisons of concrete images with the generalized images (identification) are examined. We suggest using the theory of information for processing the data and its size for every pixel which indicates that the image is of a certain class. A numerical example is given in which on the basis of a number of specific examples of images belonging to different classes, forming generalized images of these classes, independent of their specific implementations, i.e., the "Eidoses" of these images (in the definition of Plato) – the prototypes or archetypes of images (in the definition of Jung). But the "Eidos" system provides not only the formation of prototype images, which quantitatively reflects the amount of information in the elements of specific images on their belonging to a particular proto-types, but a comparison of specific images with generic (identification) and the
generalization of pictures images with each other (classification)
The article examines the historical aspect of the
appearance of the concept of the photon, which was
introduced through the works of Planck, Einstein,
Compton, Lewis. It is noted that the photon has both
corpuscular characteristics (momentum, mass, energy)
and wave (frequency, wavelength), which are
interconnected. Thus, the photon has dual properties – of
a particle and a wave. The article deals with the analysis
described in the literature of the photon model proposed
by S.M. Polyakov and O.S. Polyakova, F.M.
Konarevym-Krauzerom, V.G.Kozlovym and S.I.
Chervyakov, as well as with their advantages and
disadvantages. A version of the model in the form of a
photon of two identical but oppositely charged halfmass,
which simultaneously perform translational,
rotational and vibrational motion was suggested. We
have shown derivation of the amplitude of vibration of
the two half-mass photon connected with simple relation
with wavelength, described with this photon. On this
basis, it is concluded that the state of a photon is
characterized by a rotational movement of its oppositely
charged half-stuff, which radius (r) is the amplitude of
the oscillation process of each of the half-mass, and
described by oppositely charged half-mass
circumference length S in expanded form in a result of
the progressive movement is the length wave l. This
work displays the wave equation describing the motion
of photons in the form of a standing wave which is a
complete analog-independent Schrödinger equation for
the motion of an electron in a hydrogen atom
The article discusses the question of the concepts of heat
and internal energy of a body. The analysis of these
concepts in the historical aspect and the views of the author,
based on the new photon theory of atomic structure were
presented in this study. The analysis of the historical aspect
of this question tells that the concepts of heat and internal
energy of the body for a long time were associated with the
concept of caloric, which can flow in the substance. The
next step was the identification of the concept of heat with
energy linked with the movement and work. In accordance
with this, Clausius proved the equivalence of heat and work
as the first principle of the theory of heat and introduced the
concept of internal energy, which can be increased in two
ways - making work on body, and summing heat to it. Thus,
energy was the main uniting factor of work and heat. Then,
the kinetic theory of heat, as the energy of motion of
molecules, was developed by Maxwell and caloric model
turned out to be a hindrance in the development of the
theory of heat. In fact, the internal energy of the body is
determined photons, rotating around charged particles in
atoms in their orbitals. The series of photons are combined
into a single photon orbital direction of rotation of the
photons, which are different from each other. Thus, the
body has an internal energy or internal heat. It is due to the
energy of photons, orbiting electrons in the outer shell of
each atom, as well as around the charged particles -
electrons and protons in the nucleus of an atom. This
internal energy may be increased by mechanical action on
the body, leading to an increase in resulting oscillation
frequency of photons around charged particles of atoms and
the internal heat contained in the body can flow of the body
with a higher concentration of heat to the body with a lower
concentration of heat
The study of the thermo-physical properties of liquids gives an opportunity of qualitative and quantitative evaluation of condensed matter theory, phase transitions and critical phenomena. To forecast the thermo-dynamic properties of liquid natural hydrocarbons one must know the basic heat-physical characteristics in a wide range of condition parameters. We have researched specific isobaric thermal heat capacity of gas condensates of Oposhnyanskoye, Solokhovskoye, Bukharskoye, Rybalskoye, Stavropolskoye, Schebelinskoye and Yubileinoye deposits theoretically and experimentally. These substances were in liquid phase on pseudo-critical isobar in the range of temperatures from minus 40 till 100 °C. In the article the findings of the investigation are presented. The mean relative experimental error doesn’t exceed ± 1.5 %, with reliability 0.95. The universal equation expressing specific isobaric thermal heat capacity as the function of temperature and molar mass has been obtained. It describes specific isobaric thermal heat capacity on pseudo-critical isobar for investigated natural hydrocarbons with the mean relative error, which does not exceed ± 1.65 %. The use of the equation for the calculation of specific isobaric thermal heat capacity of the substances of other deposits is recommended