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Mukdasai K, Sabir Z, Raja MAZ, Singkibud P, Sadat R, Ali MR. A computational supervised neural network procedure for the fractional SIQ mathematical model. THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS 2023; 232:535-546. [PMID: 36619194 PMCID: PMC9811870 DOI: 10.1140/epjs/s11734-022-00738-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/31/2022] [Accepted: 11/28/2022] [Indexed: 05/28/2023]
Abstract
The purpose of the current work is to provide the numerical solutions of the fractional mathematical system of the susceptible, infected and quarantine (SIQ) system based on the lockdown effects of the coronavirus disease. These investigations provide more accurateness by using the fractional SIQ system. The investigations based on the nonlinear, integer and mathematical form of the SIQ model together with the effects of lockdown are also presented in this work. The impact of the lockdown is classified into the susceptible/infection/quarantine categories, which is based on the system of differential models. The fractional study is provided to find the accurate as well as realistic solutions of the SIQ model using the artificial intelligence (AI) performances along with the scale conjugate gradient (SCG) design, i.e., AI-SCG. The fractional-order derivatives have been used to solve three different cases of the nonlinear SIQ differential model. The statics to perform the numerical results of the fractional SIQ dynamical system are 7% for validation, 82% for training and 11% for testing. To observe the exactness of the AI-SCG procedure, the comparison of the numerical attained performances of the results is presented with the reference Adam solutions. For the validation, authentication, aptitude, consistency and validity of the AI-SCG solver, the computing numerical results have been provided based on the error histograms, state transition measures, correlation/regression values and mean square error. Supplementary Information The online version contains supplementary material available at 10.1140/epjs/s11734-022-00738-9.
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Affiliation(s)
- Kanit Mukdasai
- Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002 Thailand
| | - Zulqurnain Sabir
- Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
- Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
| | - Muhammad Asif Zahoor Raja
- Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002 Taiwan, ROC
| | - Peerapongpat Singkibud
- Department of Applied Mathematics and Statistics, Faculty of Science and Liberal Arts, Rajamangala University of Technology Isan, Nakhon Ratchasima, 30000 Thailand
| | - R. Sadat
- Department of Mathematics, Faculty of Engineering, Zagazig University, Zagazig, Egypt
| | - Mohamed R. Ali
- Faculty of Engineering and Technology, Future University in Egypt, New Cairo, 11835 Egypt
- Basic Engineering Science Department, Benha Faculty of Engineering, Benha University, Benha, Egypt
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Sabir Z, Raja MAZ, Alhazmi SE, Gupta M, Arbi A, Baba IA. Applications of artificial neural network to solve the nonlinear COVID-19 mathematical model based on the dynamics of SIQ. JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE 2022. [DOI: 10.1080/16583655.2022.2119734] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
Affiliation(s)
- Zulqurnain Sabir
- Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
| | - Muhammad Asif Zahoor Raja
- Future Technology Research Center, National Yunlin University of Science and Technology, Douliou, Taiwan
| | - Sharifah E. Alhazmi
- Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
| | - Manoj Gupta
- Department of Electronics and Communication Engineering, JECRC University, Jaipur, Rajasthan, India
| | - Adnène Arbi
- Laboratory of Engineering Mathematics (LR01ES13), Tunisia Polytechnic School, University of Carthage, Tunis, Tunisia
- Department of Advanced Sciences and Technologies, National School of Advanced Sciences and Technologies of Borj Cedria, University of Carthage, Tunis, Tunisia
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A Numerical Study of the Fractional Order Dynamical Nonlinear Susceptible Infected and Quarantine Differential Model Using the Stochastic Numerical Approach. FRACTAL AND FRACTIONAL 2022. [DOI: 10.3390/fractalfract6030139] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Abstract
The theme of this study is to present the impacts and importance of the fractional order derivatives of the susceptible, infected and quarantine (SIQ) model based on the coronavirus with the lockdown effects. The purpose of these investigations is to achieve more accuracy with the use of fractional derivatives in the SIQ model. The integer, nonlinear mathematical SIQ system with the lockdown effects is also provided in this study. The lockdown effects are categorized into the dynamics of the susceptible, infective and quarantine, generally known as SIQ mathematical system. The fractional order SIQ mathematical system has never been presented before, nor solved by using the strength of the stochastic solvers. The stochastic solvers based on the Levenberg-Marquardt backpropagation scheme (LMBS) along with the neural networks (NNs), i.e., LMBS-NNs have been implemented to solve the fractional order SIQ mathematical system. Three cases using different values of the fractional order have been provided to solve the fractional order SIQ mathematical model. The data to present the numerical solutions of the fractional order SIQ mathematical model is selected as 80% for training and 10% for both testing and validation. For the correctness of the LMBS-NNs, the obtained numerical results have been compared with the reference solutions through the Adams–Bashforth–Moulton based numerical solver. In order to authenticate the competence, consistency, validity, capability and exactness of the LMB-NNs, the numerical performances using the state transitions (STs), regression, correlation, mean square error (MSE) and error histograms (EHs) are also provided.
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Souri M, Chiani M, Farhangi A, Mehrabi MR, Nourouzian D, Raahemifar K, Soltani M. Anti-COVID-19 Nanomaterials: Directions to Improve Prevention, Diagnosis, and Treatment. NANOMATERIALS (BASEL, SWITZERLAND) 2022; 12:783. [PMID: 35269270 PMCID: PMC8912597 DOI: 10.3390/nano12050783] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/31/2022] [Revised: 02/18/2022] [Accepted: 02/23/2022] [Indexed: 02/04/2023]
Abstract
Following the announcement of the outbreak of COVID-19 by the World Health Organization, unprecedented efforts were made by researchers around the world to combat the disease. So far, various methods have been developed to combat this "virus" nano enemy, in close collaboration with the clinical and scientific communities. Nanotechnology based on modifiable engineering materials and useful physicochemical properties has demonstrated several methods in the fight against SARS-CoV-2. Here, based on what has been clarified so far from the life cycle of SARS-CoV-2, through an interdisciplinary perspective based on computational science, engineering, pharmacology, medicine, biology, and virology, the role of nano-tools in the trio of prevention, diagnosis, and treatment is highlighted. The special properties of different nanomaterials have led to their widespread use in the development of personal protective equipment, anti-viral nano-coats, and disinfectants in the fight against SARS-CoV-2 out-body. The development of nano-based vaccines acts as a strong shield in-body. In addition, fast detection with high efficiency of SARS-CoV-2 by nanomaterial-based point-of-care devices is another nanotechnology capability. Finally, nanotechnology can play an effective role as an agents carrier, such as agents for blocking angiotensin-converting enzyme 2 (ACE2) receptors, gene editing agents, and therapeutic agents. As a general conclusion, it can be said that nanoparticles can be widely used in disinfection applications outside in vivo. However, in in vivo applications, although it has provided promising results, it still needs to be evaluated for possible unintended immunotoxicity. Reviews like these can be important documents for future unwanted pandemics.
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Affiliation(s)
- Mohammad Souri
- Department of NanoBiotechnology, Pasteur Institute of Iran, Tehran 13169-43551, Iran; (M.S.); (M.C.); (A.F.)
- Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran 19967-15433, Iran
| | - Mohsen Chiani
- Department of NanoBiotechnology, Pasteur Institute of Iran, Tehran 13169-43551, Iran; (M.S.); (M.C.); (A.F.)
| | - Ali Farhangi
- Department of NanoBiotechnology, Pasteur Institute of Iran, Tehran 13169-43551, Iran; (M.S.); (M.C.); (A.F.)
| | - Mohammad Reza Mehrabi
- Department of NanoBiotechnology, Pasteur Institute of Iran, Tehran 13169-43551, Iran; (M.S.); (M.C.); (A.F.)
| | - Dariush Nourouzian
- Department of NanoBiotechnology, Pasteur Institute of Iran, Tehran 13169-43551, Iran; (M.S.); (M.C.); (A.F.)
| | - Kaamran Raahemifar
- Data Science and Artificial Intelligence Program, College of Information Sciences and Technology (IST), Penn State University, State College, PA 16801, USA;
- Department of Chemical Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada
- School of Optometry and Vision Science, Faculty of Science, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada
| | - M. Soltani
- Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran 19967-15433, Iran
- Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada
- Centre for Biotechnology and Bioengineering (CBB), University of Waterloo, Waterloo, ON N2L 3G1, Canada
- Advanced Bioengineering Initiative Center, Multidisciplinary International Complex, K. N. Toosi University of Technology, Tehran 14176-14411, Iran
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Debnath SK, Srivastava R. Potential Application of Bionanoparticles to Treat Severe Acute Respiratory Syndrome Coronavirus-2 Infection. FRONTIERS IN NANOTECHNOLOGY 2022. [DOI: 10.3389/fnano.2021.813847] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Abstract
Severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2) is a contagious virus that spreads exponentially across the world, resulting in serious viral pneumonia. Several companies and researchers have put their tremendous effort into developing novel vaccines or drugs for the complete eradication of COVID-19 caused by SARS-CoV-2. Bionanotechnology plays a vital role in designing functionalized biocompatible nanoparticulate systems with higher antiviral capabilities. Thus, several nanocarriers have been explored in designing and delivering drugs and vaccines. This problem can be overcome with the intervention of biomaterials or bionanoparticles. The present review describes the comparative analysis of SARS infection and its associated etiological agents. This review also highlighted some nanoparticles that have been explored in the treatment of COVID-19. However, these carriers elicit several problems once they come in contact with biological systems. Often, the body’s immune system treats these nanocarriers as foreign particles and antigens. In contrast, some bionanoparticles are highlighted here with their potential application in SARS-CoV-2. However, bionanoparticles have demonstrated some drawbacks discussed here with the possible outcomes. The scope of bioinspired nanoparticles is also discussed in detail to explore the new era of research. It is highly essential for the effective delivery of these nanoparticles to the target site. For effective management of SARS-CoV-2, different delivery patterns are also discussed here.
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