Dr. Fawaz K. Alalhareth

Assistant Professor

Department of Mathematics
College of Arts and Sciences

Research Interests:

Biomathematics:
Mathematical modeling and analysis of complex biological systems.

Population dynamics, the gut microbiome, epidemiology, and ecology using dynamical systems.

Numerical Analysis:
Numerical solution of ordinary and partial differential equations and systems, including non-standard finite difference methods.

0175428888
Email: fkalalhareth@nu.edu.sa

Qualifications

PhD in Mathematics, 2022
.University of Texas at Arlington, Arlington, Texas, United States
:Dissertation title
“Higher-Order Nonstandard Finite Difference Methods for Autonomous Differential Equations Applications in Mathematical Ecology

  •  
Master of Science, In MAthematical Sciences, 2017
Ball State University, Muncie, Indiana, United States
:Thesis title
Ball State University, Muncie, Indiana, United States
“ On Bounded Entire Solutions of semi-linear Elliptic Equations"
 

Experiences


 

Career Progression:

  • Supervisor of the Community Responsibility Administration, Najran University، November 2023 – Present
  • Assistant Professor, Department of Mathematics, College of Science and Arts, Najran University (2022 – Present).

  • Lecturer, Department of Mathematics, College of Science and Arts, Najran University (2020 – 2022).

  • Teaching Assistant, Department of Mathematics, College of Science and Arts, Najran University (2013 – 2020).

  • Graduate Teaching Assistant (GTA), Department of Mathematics, The University of Texas at Arlington (Spring 2022).

  • Graduate Teaching Assistant (GTA), Department of Mathematics, The University of Texas at Arlington (Fall 2021).

  • Grader, Department of Mathematics, The University of Texas at Arlington (Fall 2020).

  • Graduate Teaching Assistant (GTA), Department of Mathematics, The University of Texas at Arlington (Summer 2020).

     

    Some of the Committees and Academic Councils:

  • Rapporteur, Program Accreditation Committee, College of Science and Arts, since 28/12/1445 AH.

  • Chair, World Mathematics Day Celebration Committee, since 1444 AH.

  • Chair, Student Activities Committee, Department of Mathematics, since 1444 AH.

  • Member, Academic Advising Committee, 1444 AH.

  • Member, Mathematics Department Council, since 29/03/1444 AH.

Specialties and Skills

Research Interests:

Mathematical Biology (Biomathematics):
Mathematical modeling and analysis of complex biological systems, including population dynamics, gut microbiota, epidemiology, and ecology using dynamical systems.

Numerical Analysis:
Numerical solution of ordinary and partial differential equations and systems, with a focus on nonstandard finite difference methods.

Computer Skills:

Text Formatting and Office Computing: LaTeX, Word, Excel, PowerPoint
Programming: MATLAB, Mathematica

Training Courses

Training Courses and Professional Development:

  • Academic Quality Practitioner, Education and Training Evaluation Commission, duration of 4 days, starting from 16/03/1445 AH.

  • Fundamentals of Quality, Evaluation, and Accreditation, Education and Training Evaluation Commission, duration of 5 days, starting from 02/03/1445 AH.

  • Applied Workshop on Futures Foresight, Institute of Public Administration, duration of 3 days, starting from 02/11/1444 AH.

  • Human Resources Planning, duration of 4 days, starting from 24/05/1444 AH.

  • Workshop titled “Building Institutional Excellence”, Deanship of Development and Quality, Najran University, 07/04/1444 AH.

  • Harvard Business School Online: Certificate of Completion in Open Innovation, duration of six weeks, 15 November 2023.

Awards and Honors:

  • Graduate School Summer 2022 Dissertation Fellowship, The University of Texas at Arlington.

  • Outstanding Graduate Student Researcher, The University of Texas at Arlington, 2021–2022.

  • Michael & Wanda Ray Math Scholarship, The University of Texas at Arlington, 2021–2022.

  • Benny McCarley Scholarship, The University of Texas at Arlington, 2021–2022.

  • Benny McCarley Scholarship, The University of Texas at Arlington, 2020–2021.

  • Michael & Wanda Ray Scholarship, The University of Texas at Arlington, 2020–2021.

  • Graduate Scholar Ray Fellowship (UTA), The University of Texas at Arlington, 2019–2020.

  • Dean’s Citation for Academic Excellence, Graduate School, Ball State University, 2017.

  • Certificate of Excellence, College of Science and Arts, Najran University, 2011.

Conferences Presented At:

  • “Analysis and a Nonstandard Finite Difference (NSFD) Method of a Model of Bacterial Competition in the Presence of a Plasmid.”
    Annual International Conference on Mathematical Methods and Models in Biosciences (BIOMATH), June 18–23, 2023.

  • “A Second-Order Positive and Elementary Stable Nonstandard Numerical Method with Applications to a Chemostat Model.”
    Society for Industrial and Applied Mathematics (SIAM) Conference on the Life Sciences (LS22), July 11–14, 2022.

  • “Higher-Order Modified Nonstandard Finite Difference Methods for Dynamical Systems in Biology.”
    Society of Mathematical Biology (SMB) Annual Meeting, organized by the University of California, Riverside, July 13–17, 2021.

  • “Higher-Order Modified Nonstandard Finite Difference Methods for Dynamical Systems in Science and Engineering.”
    European Consortium for Mathematics in Industry (ECMI) Series Conference, April 13–15, 2021.

Conferences Attended:

  • Society for Industrial and Applied Mathematics (SIAM) Conference on the Life Sciences (LS22), July 11–14, 2022.

  • Society of Mathematical Biology (SMB) Annual Meeting, organized by the University of California, Riverside, July 13–17, 2021.

  • European Consortium for Mathematics in Industry (ECMI) Series Conference, April 13–15, 2021.

  • The 2nd Annual Meeting of the SIAM Texas–Louisiana Section, November 1–3, 2019, Southern Methodist University, Dallas, TX.

  • CRTLE Graduate Student Conference, September 5, 2019, The University of Texas at Arlington.

  • Differential Equations Conference, organized by Texas A&M University, March 4–6, 2017.

 
 

 

My Google Scholar Page:
 https://scholar.google.com/citations?user=msmwH_kAAAAJ&hl=en


 
Fawaz K. Alalhareth, Madhu Gupta, Hristo V. Kojouharov*,and Souvik Roy, “Higher-order modified nonstandard finite difference methods for autonomous dynamical systems”, Contemporary Mathematics, AMS, 2023. Accepted

Alalhareth, Fawaz K., Mohammed H. Alharbi, and Mahmoud A. Ibrahim. "Modeling Typhoid Fever Dynamics: Stability Analysis and Periodic Solutions in Epidemic Model with Partial Susceptibility." Mathematics 11, no. 17 (2023): 371

Alalhareth, Fawaz K., Madhu Gupta, Souvik Roy, and Hristo V. Kojouharov. "Second?order modified positive and elementary stable nonstandard numerical methods for n n?dimensional autonomous differential equations." Mathematical Methods in the Applied Sciences

Alharbi, Mohammed H., Fawaz K. Alalhareth, and Mahmoud A. Ibrahim. "Analyzing the Dynamics of a Periodic Typhoid Fever Transmission Model with Imperfect Vaccination." Mathematics 11, no. 15 (2023): 3298

Alalhareth, Fawaz K., Ahmed Boudaoui, Yacine El hadj Moussa, Noura Laksaci, and Mohammed H. Alharbi. "Dynamic of Some Relapse in a Giving Up Smoking Model Described by Fractional Derivative." Fractal and Fractional 7, no. 7 (2023): 543

Kydd, LeNaiya, Fawaz Alalhareth, Ana Mendez, Maryann Hohn, Ami Radunskaya, Hristo Kojouharov, and Justyn Jaworski. "Introduction of Plasmid to the Murine Gut via Consumption of an Escherichia coli Carrier and Examining the Impact of Bacterial Dosing and Antibiotics on Persistence." Regenerative Engineering and Translational Medicine 8, no. 3 (2022): 489-497

Alalhareth, Fawaz K., and Hristo V. Kojouharov. "A Higher-Order NSFD Method for a Simple Growth Model in the Chemostat." In European Consortium for Mathematics in Industry, pp. 485-491. Cham: Springer International Publishing, 2021

Gupta, Madhu, John M. Slezak, Fawaz K. Alalhareth, Souvik Roy, and Hristo V. Kojouharov. "(R1504) Second-order Modified Nonstandard Runge-Kutta and Theta Methods for One-dimensional Autonomous Differential Equations." Applications and Applied Mathematics: An International Journal (AAM) 16, no. 2 (2021): 1

Kojouharov, Hristo V., Souvik Roy, Madhu Gupta, Fawaz Alalhareth, and John M. Slezak. "A second-order modified nonstandard theta method for one-dimensional autonomous differential equations." Applied Mathematics Letters 112 (2021): 106775

Gupta, M., J. M. Slezak, F. Alalhareth, S. Roy, and H. V. Kojouharov. "Second-order nonstandard explicit Euler method." In AIP
Conference Proceedings, vol. 2302, no. 1. AIP Publishing, 2020
 
 


 

Partial and Ordinary Differential Equations

 

 

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