Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease

Raza, Ali; Ahmadian, Ali; Rafiq, Muhammad; Salahshour, Soheil; Naveed, Muhammad; Феррара, Массимилиано; Soori, Atif Hassan

doi:10.1186/s13662-020-03116-8

Cited by 20 publications

(14 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Radosavljevic et al suggested the curing techniques for the bioterrorist attack of anthrax [28]. Mathematical techniques were studied to analyze the transmission of infectious diseases [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. In this paper, we study the dynamics of anthrax disease via computational methods.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Anthrax Disease via Efficient Computing Techniques

Raza¹,

Băleanu²,

Yousaf³

et al. 2022

Intelligent Automation &Amp; Soft Computing

Self Cite

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Modeling of Anthrax Disease via Efficient Computing Techniques

Raza¹,

Băleanu²,

Yousaf³

et al. 2022

Intelligent Automation &Amp; Soft Computing

Self Cite

View full text Add to dashboard Cite

“…Their paper proposed one of the newest approaches to conditionbased maintenance modeling. There are also plenty of research papers on Machine learning [23], optimization [24][25][26][27][28][29][30] and mathematical modeling of different systems [31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Optimization Model for Maintenance Planning of School Buildings

Zandiyehvakili¹,

Aminnejad²,

Lork³

2022

Intelligent Automation &Amp; Soft Computing

View full text Add to dashboard Cite

This article presents a methodology to optimize the maintenance planning model and minimize the total maintenance costs of a typical school building. It makes an effort to provide a maintenance schedule, focusing on maintenance costs. In the allocation of operations to the school equipment, the parameter of its age was also taken into account. A mathematical optimization model to minimize the school maintenance cost in a three-year period was provided in the GAMS software with CPLEX solver. Finally, the optimum architecture of the Perceptron multi-layer neural network was used to predict the schedule of equipment operations and maintenance costs. The Multi-layer Perceptron (MLP) optimum neural network results, with minor Mean Squared Error (MSE) and Root Mean Squared Error (RMSE), indicated that the proposed model was capable of predicting the schools' maintenance costs with high accuracy. According to the results, the school's maintenance cost for the intended three-year period based on the Weibull distribution was equal to 15361 currency units per hour, in which the "heating and cooling system" has the highest contribution. Hence, accurate and definite planning can prevent damages to such equipment, while saving the school's maintenance costs.

show abstract

“…Several biological phenomena and processes can be formulating in the language of mathematics in the framework of ordinary differential equations, fractional differential equations, impulsive differential equations, stochastic differential equations, delay differential equations, etc. [ 2 , 3 , 4 , 5 , 6 ]. Different assumptions, laws, axioms governing these processes are used in the formulation of these mathematical models to show the intricate dynamics of biological phenomena.…”

Section: Introductionmentioning

confidence: 99%

Fractional Dynamics of HIV with Source Term for the Supply of New CD4+ T-Cells Depending on the Viral Load via Caputo–Fabrizio Derivative

et al. 2021

View full text Add to dashboard Cite

Human immunodeficiency virus (HIV) is a life life-threatening and serious infection caused by a virus that attacks CD4+ T-cells, which fight against infections and make a person susceptible to other diseases. It is a global public health problem with no cure; therefore, it is highly important to study and understand the intricate phenomena of HIV. In this article, we focus on the numerical study of the path-tracking damped oscillatory behavior of a model for the HIV infection of CD4+ T-cells. We formulate fractional dynamics of HIV with a source term for the supply of new CD4+ T-cells depending on the viral load via the Caputo–Fabrizio derivative. In the formulation of fractional HIV dynamics, we replaced the constant source term for the supply of new CD4+ T-cells from the thymus with a variable source term depending on the concentration of the viral load, and introduced a term that describes the incidence of the HIV infection of CD4+ T-cells. We present a novel numerical scheme for fractional view analysis of the proposed model to highlight the solution pathway of HIV. We inspect the periodic and chaotic behavior of HIV for the given values of input factors using numerical simulations.

show abstract

Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease

Cited by 20 publications

References 28 publications

Modeling of Anthrax Disease via Efficient Computing Techniques

Modeling of Anthrax Disease via Efficient Computing Techniques

A Mathematical Optimization Model for Maintenance Planning of School Buildings

Fractional Dynamics of HIV with Source Term for the Supply of New CD4+ T-Cells Depending on the Viral Load via Caputo–Fabrizio Derivative

Contact Info

Product

Resources

About