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Study of Fractional Order Dynamical System of Viral Infection Disease under Piecewise Derivative

Computer Modeling in Engineering & Sciences 2023年第7期136卷 921-941页

作者： Kamal Shah hafsa naz Thabet Abdeljawad Bahaaeldin Abdalla Department of Mathematics and Sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan

This research aims to understand the fractional order dynamics of the deadly Nipah virus(NiV)*** focus on using piecewise derivatives in the context of classical and singular kernels of power operators in the Caputo sense to investigate the crossover behavior of the considered dynamical *** establish some qualitative results about the existence and uniqueness of the solution to the proposed *** utilizing the Newtonian polynomials interpolation technique,we recall a powerful algorithm to interpret the numerical findings for the aforesaid ***,we remark that the said viral infection is caused by an RNA type virus which can transmit from animals and also from an infected person to *** bats which are also known as flying foxes are one of the sources of transmission of NiV *** in this work,we investigate its transmission mechanism through some new concepts of fractional calculus for further analysis and *** present the approximate results for different compartments using different fractional *** using the piecewise derivative concept,we detect the crossover ormulti-steps behavior in the transmission dynamics of the mentioned ***,the considered form of the derivative is used to deal with problems exhibiting crossover behaviors.

关键词： NiV disease fractional calculus piecewise derivative qualitative results newton polynomial RNA virus

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Numerical Solutions of Fractional Variable Order Differential Equations via Using Shifted Legendre Polynomials

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Computer Modeling in Engineering & Sciences 2023年第2期134卷 941-955页

作者： Kamal Shah hafsa naz Thabet Abdeljawad Aziz Khan Manar A.Alqudah Department of Mathematics and Sciences Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan Department of Mathematical Sciences Faculty of SciencesPrincess Nourah bint Abdurahman UniversityRiyadh11671Saudi Arabia

In this manuscript,an algorithm for the computation of numerical solutions to some variable order fractional differential equations(FDEs)subject to the boundary and initial conditions is *** use shifted Legendre polynomials for the required numerical algorithm to develop some operational ***,operational matrices are constructed using variable order differentiation and *** are finding the operationalmatrices of variable order differentiation and integration by omitting the discretization of *** the help of aforesaid matrices,considered FDEs are converted to algebraic equations of Sylvester ***,the algebraic equations we get are solved with the help of mathematical software like Matlab or Mathematica to compute numerical *** examples are given to check the proposed method’s accuracy and graphical *** and numerical solutions are also compared in the paper for some *** efficiency of the method can be enhanced further by increasing the scale level.

关键词： Operational matrices shifted legendre polynomials FDEs variable order

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Appraisal of Deforestation in Murree through Open Source Satellite Imagery

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Advances in Remote Sensing 2018年第2期7卷 61-70页

作者： Tabasam Jamal Shoaib Naseer Syed Shehzad Hassan hafsa Batool Rashid Mahmood Attia naz Atif Butt Usman Tanver Imran Saddique Kaukab Sana Alvi Javed Ahmad Azeem Akhtar Arshid Javed A. Ali Department of Geography University of the Punjab New Campus Lahore Punjab Pakistan Remote Sensing Group Department of Space Science University of the Punjab Lahore Pakistan

Forests are the main source of income for humans and shelter for many rare in habitants. Forests act as carbon sink and help to reduce the effect of natural hazards like floods. The timber is among the main products of forests used for precious furniture. Forest must cover one third of the part of any country but in Pakistan, it covers less than 4%. If the deforestation continues with the same ratio, there will be a drastic change in the upcoming years. The main objective of the study is to determine deforestation rates in Murree for the years 1999-2015 through open source Landsat 7, 8 imageries. The areas with high deforestation rates are also delineated. Supervised classification is used to delineate the area under buildup, vegetation and water that was 83.85 km2, 760.63 km2 and 1.18 km2 respectively in 1999. Built up area increased up to 20% and forests declined by 23% in 2015 as compared to 1999. Remote sensing and GIS tools helped to investigate the deforestation rates with high accuracy.

关键词： Landsat 7 Landsat 8 Supervised Classification Deforestation Vegetation Index

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Environmental Assessment and Analysis of Chemical Properties of Drinking Water Using Geo-Spatial Technologies: Examples from Lahore Metropolitan

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Advances in Remote Sensing 2018年第3期7卷 259-275页

作者： Ali Imam Mirza Ali Iqtadar Mirza Tabasam Jamal Syed Shehzad Hassan Muhammad A. Butt Atif Ali hafsa Batool Rashid Mahmood Attia naz Azam Sohail Imran Saddique Kaukab Sana Alvi Javed Ahmad Safeer Ali Muneeb Aamir Azeem Akhtar Arshad Javed Department of Geography GC University Lahore Pakistan Remote Sensing Group Department of Space Science University of the Punjab Lahore Pakistan

The contamination of drinking water in Pakistan is a serious threat to its citizens. Urbanization leads to an increased demand of drinking water supply that leads to excessive drawdown that further causes lowering of water table. The current WASA (Water and Sanitation Authority) supply network does not fulfill the demand of a growing metropolitan city of Lahore. The drawdown of Lahore is absolutely reliant on Water and Sanitation Authority (WASA) water supply network that causes numerous problems due to inappropriate management of groundwater capital and increased urbanization. This research investigates groundwater qualities: Alkalinity, Arsenic, Calcium, chloride, Total Hardness, Magnesium, Nitrate, pH and Total Dissolved solids using geographic information system (GIS). Residents of high concentrated towns, like Samnabad Town, Allama Iqbal Town, Gulberg, Data Ganj Bakhsh Town, Ravi Town and Wahga town witness cut-down of water supply mainly due to over burden on tube wells. Chemical properties of drinking water show that most of the parameters were within the allowable limits of WHO whereas the pH, and arsenic values are higher than the average. Arsenic is a carcinogenic element which causes cancer and is higher in the drinking water. Finally, this study identifies highly contaminated groundwater zones and makes it convenient to find actual pollutants. Therefore, plans are needed to protect the aquifer.

关键词： Water Contamination Urbanization Geographic Information System (GIS) Chemical Properties Carcinogenic Elements WHO WebGIS RS WASA DNA pH TDS

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