Papers by Muhammad Umer Saleem
International Journal of Nonlinear Sciences and Numerical Simulation
In many life time scenarios, life of one component or system nested in other components or system... more In many life time scenarios, life of one component or system nested in other components or systems. To model these complex structures some so called nested models are required rather than conventional models. This paper introduces the generalization of the method of generating continuous distribution proposed by N. Eugene, C. Lee, and F. Famoye, “Beta-normal distribution and its applications,” Commun. Stat. Theor. Methods, vol. 31, no. 4, pp. 497–512, 2002 and A. Alzaatreh, C. Lee, and F. Famoye, “A new method for generating families of continuous distributions,” Metron, vol. 71, no. 1, pp. 63–79, 2013 which nest one model in other to cope with complex systems. Some important characteristics of the proposed family of generalized distribution have been studied. The famous Beta, Kumaraswami and Gamma generated distributions are special cases of our suggested procedure. Some new distributions have also been developed by using the suggested methodology and their important properties hav...
Fractals
Recently, Atangana proposed new operators by combining fractional and fractal calculus. These rec... more Recently, Atangana proposed new operators by combining fractional and fractal calculus. These recently proposed operators, referred to as fractal–fractional operators, have been widely used to study complex dynamics. In this paper, the COVID-19 model is considered via Atangana–Baleanu fractal-fractional operator. The Lyapunov stability for the model is derived for first and second derivative. Numerical results have developed through Lagrangian-piecewise interpolation for the different fractal–fractional operators. We develop numerical outcomes through different differential and integral fractional operators like power-law, exponential law, and Mittag-Leffler kernel. To get a better outcome of the proposed scheme, numerical simulation is made with different kernels having the memory effects with fractional parameters.
Alexandria Engineering Journal
Pakistan Armed Forces Medical Journal
Objective: To determine the reasons for hesitancy regarding COVID-19 vaccines. Study Design: Cros... more Objective: To determine the reasons for hesitancy regarding COVID-19 vaccines. Study Design: Cross-sectional study. Place and Duration of Study: Combined Military Hospital, Rawalpindi Pakistan, from Feb to Jun 2021. Methodology: After Ethical Committee approval, 100 respondents were recruited, regardless of vaccination status, and requested to respond to 27 different myths and queries circulating about COVID-19 vaccines. Results: Mean age of participants was 36.25 ± 5.77 years, ranging from 15-80 years. Fifty-three were males and 47 females. 41% of subjects trusted the Sino-pharm vaccine, and 25% preferred Pfizer Bio N Tech, while 34% could not answer due to the lack of knowledge. 55% subjects showed concern about catching the infection from Vaccination. 54% considered vaccines unsafe for pregnant and breastfeeding women. 29% believed it unsafe for the elderly and those with comorbidities. 14% believed it could cause autism in children and infertility in adults. 62% individuals ackn...
AIMS Mathematics
Recently different definitions of fractional derivatives are proposed for the development of real... more Recently different definitions of fractional derivatives are proposed for the development of real-world systems and mathematical models. In this paper, our main concern is to develop and analyze the effective numerical method for fractional order HIV/ AIDS model which is advanced approach for such biological models. With the help of an effective techniques and Sumudu transform, some new results are developed. Fractional order HIV/AIDS model is analyzed. Analysis for proposed model is new which will be helpful to understand the outbreak of HIV/AIDS in a community and will be helpful for future analysis to overcome the effect of HIV/AIDS. Novel numerical procedures are used for graphical results and their discussion.
Vol 4 Issue 1
The soil is the basic medium for growth of plant as it supplies essential nutrients and water req... more The soil is the basic medium for growth of plant as it supplies essential nutrients and water required for plant processes. The productivity of crop is highly dependent upon fertility and salinity of soil. Current study was carried out to explore and analyze the soils of Tehsil Nankana Sahib (Nankana, Shahkot, Sangilla) for its salinity, sodicity and fertility status at union council level from 2018-2021. A total 2030 soil samples were collected from three Tehsils of District Nankana Sahib, Punjab, Pakistan. The results indicated that the soil salinity status about 33.9% (690 samples) soils were non-saline, 23.6% (480 samples) saline sodic, 28.5% (580 samples) sodic and only 13.8% (280 samples) were saline. Maximum problematic soil was found in tehsil Nankana Sahib while minimum in Sangilla. As for the soil fertility status of District Nankana Sahib is concerned, 60.1% soils were poor in organic matter (OM) that was observed in 1220 samples, and 39.1% medium range organic matter was...
AIMS Mathematics
In this paper, the dynamical behavior of the fractional-order cancer model has been analyzed with... more In this paper, the dynamical behavior of the fractional-order cancer model has been analyzed with the fractal-fractional operator, which discretized the conformable cancer model. The fractional-order model consists of the system of nonlinear fractional differential equations. Also, we discuss the fractional-order model to check the relationship between the immune system and cancer cells by mixing IL-12 cytokine and anti-PD-L1 inhibitor. The tumor-immune model has been studied qualitatively as well as quantitatively via Atangana-Baleanu fractal-fractional operator. The nonlinear analysis is used to check the Ulam-Hyres stability of the proposed model. Moreover, the dynamical behavior for the fractional-order model has been checked by using a fractal-fractional operator with a generalized Mittag-Leffler Kernel and verifying the effect of fractional parameters. Finally, the obtained solutions are interpreted biologically, and simulations are carried out to illustrate cancer disease and...
Polymers
The application of artificial intelligence approaches like machine learning (ML) to forecast mate... more The application of artificial intelligence approaches like machine learning (ML) to forecast material properties is an effective strategy to reduce multiple trials during experimentation. This study performed ML modeling on 481 mixes of geopolymer concrete with nine input variables, including curing time, curing temperature, specimen age, alkali/fly ash ratio, Na2SiO3/NaOH ratio, NaOH molarity, aggregate volume, superplasticizer, and water, with CS as the output variable. Four types of ML models were employed to anticipate the compressive strength of geopolymer concrete, and their performance was compared to find out the most accurate ML model. Two individual ML techniques, support vector machine and multi-layer perceptron neural network, and two ensembled ML methods, AdaBoost regressor and random forest, were employed to achieve the study’s aims. The performance of all models was confirmed using statistical analysis, k-fold evaluation, and correlation coefficient (R2). Moreover, th...
International Journal of Applied and Computational Mathematics, Nov 25, 2021
Pure and Applied Biology, 2018
This work is an approach to check the controllability and observability for a mathematical model ... more This work is an approach to check the controllability and observability for a mathematical model of immunotherapy and chemotherapy for cancer treatment. The measured output of tumor cells and the input is interleukin-2 (IL-2) in the first model. The measured output of effectors cell and the input is interleukin-2 (IL-2) in the second model, interferon-α (IFN−α) and their combinations. These models are used to treat for the control purpose of cancer treatment. A control system can only be used in the form of closed-loop control to stabilize the system. The concept of controllability and observability for the linearized control is used to have a feedback control. Our contribution in chemo/immuno and concurrent chemo immunotherapy shows that the chemo/immuno sequence is more effective while concurrent chemo immunotherapy. Cancer control aims to reduce the incidence, morbidity and mortality of cancer and to improve the quality of life of cancer patients in a defined population, through the systematic implementation of evidence-based interventions for prevention, early detection, diagnosis, treatment, and palliative care.
Numerical Methods for Partial Differential Equations, 2020
In this paper, analysis and modeling of bovine babesiosis disease are designed with fractional ca... more In this paper, analysis and modeling of bovine babesiosis disease are designed with fractional calculus. The solution for a bovine babesiosis disease and tick populations fractional order system is determined using the Caputo and Atangana–Baleanu–Caputo (ABC) fractional derivatives. Applying the homotopy analysis method and the Laplace transform with polynomial homotopy, the analytical solution of the bovine babesiosis disease has obtained. Furthermore, using an iterative scheme by the Laplace transform, and the Atangana–Baleanu fractional integral, special solutions of the model are obtained. Uniqueness and existence of the solutions by the fixed‐point theorem and Picard–Lindel of approach are studied. Numerical simulation has been established for both Caputo and ABC fractional derivative of the proposed system is carried out. The numeric replications for diverse consequences are carried out, and data attained are in good agreement with theoretical outcomes, displaying a vital perc...
The controllability and observability of a glucose-insulin system are checked for Bergman’s minim... more The controllability and observability of a glucose-insulin system are checked for Bergman’s minimal model, Sandhya model, Hovorka model, Sturis Tolic model and their modified form for a type 1 diabetic patient. These models are to simulate the glucose-insulin system for the treatment of type 1 diabetes mellitus. Models take the only insulin as input and glucose as an output. A control system can only be used in the form of closed-loop control to stabilize the system. It would enable diabetic patients to control their disease. Currently, no fully automated artificial pancreas is available. Comparison of controllability and observability are measured for this purpose. These models can be used to simulate a glucose-insulin system for the treatment of type 1 diabetes. This may play an important role in the development of the fully automatic artificial pancreas and stabilize the control loop system for the Glucose Insulin pump.
Mathematical Methods in the Applied Sciences, 2020
Zika is a flavivirus that is transmitted to humans either through the bites of infected Aedes mos... more Zika is a flavivirus that is transmitted to humans either through the bites of infected Aedes mosquitoes or through sexual transmission. Zika has been associated with congenital anomalies, like microcephalus. We developed and analyzed the fractional‐order Zika virus model in this paper, considering the vector transmission route with human influence. The model consists of four compartments: susceptible individuals are x1(t), infected individuals are x2(t), x3(t) shows susceptible mosquitos, and x4(t) shows the infected mosquitos. The fractional parameter is used to develop the system of complex nonlinear differential equations by using Caputo and Atangana–Baleanu derivative. The stability analysis as well as qualitative analysis of the fractional‐order model has been made and verify the non‐negative unique solution. Finally, numerical simulations of the model with Caputo and Atangana Baleanu are discussed to present the graphical results for different fractional‐order values as well ...
2017 IEEE International Symposium on Hardware Oriented Security and Trust (HOST), 2017
Physically Unclonable Functions (PUFs) have become an important and promising hardware primitive ... more Physically Unclonable Functions (PUFs) have become an important and promising hardware primitive for device fingerprinting, device identification, or key storage. Intrinsic PUFs leverage components already found in existing devices, unlike extrinsic silicon PUFs, which are based on customized circuits that involve modification of hardware. In this work, we present a new type of a memory-based intrinsic PUF, which leverages the Rowhammer effect in DRAM modules-the Rowhammer PUF. Our PUF makes use of bit flips, which occur in DRAM cells due to rapid and repeated access of DRAM rows. Prior research has mainly focused on Rowhammer attacks, where the Rowhammer effect is used to illegitimately alter data stored in memory, e.g., to change page table entries or enable privilege escalation attacks. Meanwhile, this is the first work to use the Rowhammer effect in a positive context-to design a novel PUF. We extensively evaluate the Rowhammer PUF using commercial, off-the-shelf devices, not relying on custom hardware or an FPGA-based setup. The evaluation shows that the Rowhammer PUF holds required properties needed for the envisioned security applications, and could be deployed today.
Computer Modeling in Engineering & Sciences, 2021
COVID-19 acts as a serious challenge to the whole world. Epidemiological data of COVID-19 is coll... more COVID-19 acts as a serious challenge to the whole world. Epidemiological data of COVID-19 is collected through media and web sources to analyze and investigate a system of nonlinear ordinary differential equation to understand the outbreaks of this epidemic disease. We analyze the diseases free and endemic equilibrium point including stability of the model. The certain threshold value of the basic reproduction number R 0 is found to observe whether population is in disease free state or endemic state. Moreover, the epidemic peak has been obtained and we expect a considerable number of cases. Finally, some numerical results are presented which show the effect of parameters estimation and different step size on our obtained solutions at the real data of some countries to check the actual behavior of the COVID-19 at different countries.
Mathematical Methods in the Applied Sciences, 2021
Pramana, 2020
In this paper, we developed the fractional-order finance system transmission model. The main obje... more In this paper, we developed the fractional-order finance system transmission model. The main objective of this paper is to construct and evaluate a fractional derivative to track the shape of the dynamic chaotic financial system of fractional order. The numerical solution for fractional-order financial system is determined using the Atangana-Baleanu-Caputo (ABC) and Caputo derivatives. Picard-Lindelof's method shows the existence and uniqueness of the solution. Numerical techniques show that ABC derivative strategy can be used effectively to overcome the risk of investment. An active control strategy for controlling chaos is used in this system. The stabilisation of equilibrium is obtained by both theoretical analysis and simulation results.
Ain Shams Engineering Journal, 2020
Many fresh definitions of fractional derivatives have been suggested and used in recent years to ... more Many fresh definitions of fractional derivatives have been suggested and used in recent years to produce mathematical models with memory, background, or non-local effects for a broad range of real-world structures. The primary aim of this article is to create and evaluate a fractional-order derivative for an extensive regulatory scheme for glucose-insulin regulation. The existence and uniqueness are determined by a fixed point theorem and an iterative scheme. We suggest an impulsive differential equation model study plasma glucose control for diabetic patients with impulsive insulin injections. It is regarded as a deterministic mathematical model related to the diabetes mellitus fractional derivatives. For fractional orders, numerical simulations are performed to demonstrate the impacts of varying the fractional-order to achieve the theoretical outcomes and comparison with the Caputo derivative are made. The results of these case studies indicate that this plasma glucose control of the fractional-order model is an appropriate candidate.
Disaster Medicine and Public Health Preparedness, 2020
Based on the public data from the health departments of Tianjin and Shenzhen, we conducted a comp... more Based on the public data from the health departments of Tianjin and Shenzhen, we conducted a comparative analysis of the coronavirus disease 2019 (COVID-19) epidemic situation between these 2 cities. The aim of this study was to evaluate the role of public data in epidemic prevention and control of COVID-19, providing a scientific advice for the subsequent mitigation and containment of COVID-19 prevalence.
Alexandria Engineering Journal, 2020
In this paper, we analyze the fractional modeling of diabetes mellitus model using the definition... more In this paper, we analyze the fractional modeling of diabetes mellitus model using the definitions of Liouville-Caputo and Atangana-Baleanu-Caputo fractional derivatives. Applying the homotopy analysis method and the Laplace transform with polynomial homotopy, The primary aim of this article is to create and evaluate a fractional order derivatives system for an extensive regulatory scheme of glucose insulin regulation for glucose insulin pump to control diabetes. The existence and uniqueness are determined by fixed point theorem and an iterative scheme. We suggest an impulsive differential equation model to study plasma glucose control for diabetic patients with impulsive insulin injections and by measuring the glucose level which leads to normal level in finite time. It is regarded as deterministic fractional derivative model related to the diabetes mellitus which provide the better control strategy at fractional values for the development of artificial pancreas. For different fractional orders, numerical simulations are performed to demonstrate the impacts of varying the fractional order to achieve the theoretical outcomes and comparison is made for the caputo and caputo fabrizio derivative. The results of these case studies by controlling plasma glucose with fractional order model makes it an appropriate candidate to control the type 1 diabetes in human.
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Papers by Muhammad Umer Saleem