The aims of this paper is investigating the spread of AIDS both within-host, through the contact between healthy cells with free virus inside the body, and between-host, through sexual contact among individuals and external sources of infectious. The outbreak of AIDS is described by a mathematical model consisting of two stages. The first stage describes the within-host spread of AIDS and is represented by the first three equations. While the second stage describes the between-host spread of AIDS and represented by the last four equations. The existence, uniqueness and boundedness of the solution of the model are discussed and all possible equilibrium points are determined. The local asymptotic stability (LAS) of the model is studied, while suitable Lyapunov functions are used to investigate the global asymptotic stability (GAS) of the model. Optimal control strategy is used to control the outbreak of AIDS. Finally, a numerical simulation is carried out to confirm the analytical results and understand the effects of varying the parameters on the spread of disease.
In this article, we investigate a mathematical fractional model of tuberculosis that takes into account vaccination as a possible way to treat the disease. We use an in-host tuberculosis fractional model that shows how Macrophages and Mycobacterium tuberculosis interact to knowledge of how vaccination treatments affect macrophages that have not been infected. The existence of optimal control is proven. The Hamiltonian function and the maximum principle of the Pontryagin are used to describe the optimal control. In addition, we use the theory of optimal control to develop an algorithm that leads to choosing the best vaccination plan. The best numerical solutions have been discovered using the forward and backward fractional Euler
... Show MoreIn this paper, the deterministic and the stochastic models are proposed to study the interaction of the Coronavirus (COVID-19) with host cells inside the human body. In the deterministic model, the value of the basic reproduction number determines the persistence or extinction of the COVID-19. If , one infected cell will transmit the virus to less than one cell, as a result, the person carrying the Coronavirus will get rid of the disease .If the infected cell will be able to infect all cells that contain ACE receptors. The stochastic model proves that if are sufficiently large then maybe give us ultimate disease extinction although , and this facts also proved by computer simulation.
Background: The aim of the study was to determine the prevalence of CMV infection among HIV / AIDS patients in relation to disease progression, and to study the mortality during the period of the study.
Patients and Methods: The study included 155 HIV/AIDS patients (148 HIV- infected and seven AIDS patients) and 122 apparently "healthy" controls. CMV (IgG and 1gM) antibodies were determined by ELISA. The patients were followed up for a period of nine months, and retested frequently for development of active CMV infection.
Results: The prevalence of CMV (IgG) antibodies in the HIV/AIDS patients was 100%. A significant higher prevalence of CMV (IgM) among AIDS patients (42.9°/6) than among HIV infected
This paper presents an application of a Higher Order Shear Deformation Theory (HOST 12) to problem
of free vibration of simply supported symmetric and antisymmetric angle-ply composite laminated plates.
The theoretical model HOST12 presented incorporates laminate deformations which account for the effects
of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of in-plane
displacements with respect to the thickness coordinate – thus modeling the warping of transverse crosssections more accurately and eliminating the need for shear correction coefficients. Solutions are obtained in
closed-form using Navier’s technique by solving the eigenvalue equation. Plates with varying number of
So far, APT (Advanced Persistent Threats) is a constant concern for information security. Despite that, many approaches have been used in order to detect APT attacks, such as change controlling, sandboxing and network traffic analysis. However, success of 100% couldn’t be achieved. Current studies have illustrated that APTs adopt many complex techniques to evade all detection types. This paper describes and analyzes APT problems by analyzing the most common techniques, tools and pathways used by attackers. In addition, it highlights the weaknesses and strengths of the existing security solutions that have been used since the threat was identified in 2006 until 2019. Furthermore, this research proposes a new framework that can be u
... Show MoreBackground: The systemic host modulation therapy is new approach in treatment of periodontal diseases. Materials and methods:The target of this treatment is the host response to microbial infection because at present time,it is well known that most of damage found in periodontal diseases cause by the inflammatory -immune response to periodontal infections.Sub-antimicrobial-dose Doxycycline (SDD) is a 20-mg dose of Doxycycline (Periostat) that is approved and indicated as an adjunct to scaling and root planning (SRP) in the treatment of chronic periodontitis. Results:At present, SDD (Periostat) is the only systemically administered agent that is approved by the U.S. Food and Drug Administration (FDA) and accepted by the American Dental Asso
... Show MoreBackground: The acquired immunodeficiency syndrome (AIDS) is a disorders caused by cellular and humoral immune dysfunction from infection by the human immunodeficiency virus (HIV 1 and HIV 2).
Patients and Methods: The study was carried out in Kirkuk governorate on 5090 secondary school students from different localities of the city, for the period from the beginning of October 2005 to the end of March 2006. A special questionnaire was applied for each student containing age, sex, class, parent’s education, mode of transmission & methods of prevention.
Results: There was no significant difference between male and female regarding the etiology of AIDS.The knowledge of secondary school students was
The using of phytochemicals of Punica granatum to control the
snail of Bulinus truncatus the intermediate hosts of urinary
schistosomiasis in Iraq in a laboratory study.
It was found that the peel and leave of Punica granatum was
effective to control the snail with very small amount of different concentrations (30-50 mg/l) in the first day of the treatment.
Periodontitis is one of the most prevalent bacterial diseases affecting man with up to 90% of the global population affected. Its severe form can lead to the tooth loss in 10-15% of the population worldwide. The disease is caused by a dysbiosis of the local microbiota and one organism that contributes to this alteration in the bacterial population is Prophyromonas gingivalis. This organism possesses a range of virulence factors that appear to contribute to its growth and survival at a periodontal site amongst which is its ability to invade oral epithelial cells. Such an invasion strategy provides a means of evasion of host defence mechanisms, persistence at a site and the opportunity for dissemination to other sites in the mouth. However, p
... Show MoreHIV is a leading cause of death, in particular, in Sub-Saharan Africa. In this paper, a fractional differential system in vivo deterministic models for HIV dynamics is presented and analyzed. The main roles played by different HIV treatment methods are investigated using fractional optimal control theory. We use three treatment regimens as system control variables to determine the best strategies for controlling the infection. The optimality system is numerically solved using the fractional Adams-Bashforth technique.