College of Science / Department of Mathematics

Ahmad Salman Alhasanat


Associate Professor
Ahmad Salman Alhasanat

Curriculum Vitae
  • Major: Applied Mathematics
  • College: College of Science
  • Department(s): Mathematics Department
  • E-mail: hasanat85@ahu.edu.jo
  • Phone No.: 00962-3-2179000Ext:6302

Dr. Ahmad Alhasanat has extensive teaching and research experience in mathematics. He got his first degree from The University of Jordan in Jordan, and did pursue his master’s degree at Mutah University in Jordan. Dr. Alhasanat was granted a scholarship to pursue Ph.D. studies in applied mathematics at Memorial University in Canada, from 2013 to 2017. During this Ph.D. program, he has been awarded the title of “Fellow of the School of Graduate Studies” in recognition of his outstanding academic achievements. Dr. Alhasanat taught several courses in mathematics for undergraduate and graduate programs, led different training programs, and supervised many graduate students. He held several positions as a teacher, lecturer, and teaching assistant in Jordan, Saudi Arabia, and Canada between 2006 to 2017. In September 2017, he was appointed as assistant professor of applied mathematics at Al Hussein Bin Talal University, Jordan, before he is promoted to associate professor in September 2022. During that, he was assigned as Chairman of the Mathematics Department in the period from 2019 to 2021.

Dr. Alhasanat's research interests are in spatial-temporal patterns modeled by differential equations. In particular, he works on the existence, behavior, and stability of solutions to partial differential equations models arising in biological, physical, or chemical problems. Recently, He worked on the existence and stability of traveling wave solutions to a biological invasion model besides determining the invasion speed. On developing a useful method and improving important results in this field, he has published significant publications.

On the conjecture for the pushed wavefront to the diffusive Lotka–Volterra competition model. Journal of Mathematical Biology
  • Research Summary
    • This paper concerns ecological invasion phenomenon of species based on the diffusive Lotka–Volterra competition model. We investigate the spreading speed (or the minimal wave speed of traveling waves) selection to the model and concentrate on the conjecture raised by Roques et al. (J Math Biol 71(2):465–489, 2015). By using an abstract implicit function theorem in a weighted functional space coupled with a perturbation technique, we not only prove this conjecture, but also show that the fast decay behavior of the first species is necessary and sufficient for the nonlinear speed selection of the whole system. This may lead to further significant results on the answer to the original Hosono’s conjecture, a problem that has been outstanding for more than twenty years.
  • Research link
  • key words
    Lotka–Volterra; Competition; Pulled and pushed waves; Speed selection
On a conjecture raised by Yuzo Hosono. J. Dynamics and Differential Equations
  • Research Summary
    • In this paper, we study the speed selection mechanism for traveling wave solutions to a two-species Lotka–Volterra competition model. After transforming the partial differential equations into a cooperative system, the speed selection mechanism (linear vs. nonlinear) is investigated for the new system. Hosono conjectured that there is a critical value rc of the birth rate so that the speed selection mechanism changes only at this value. In the absence of diffusion for the second species, we obtain the speed selection mechanism and successfully prove a modified version of the Hosono’s conjecture. Estimation of the critical value is given and some new conditions for linear or nonlinear selection are established.
  • Research link
  • key words
    Lotka–Volterra; Traveling waves; Speed selection
Minimal-speed selection of traveling waves to the Lotka-Volterra competition model, Journal of Differential Equations.
  • Research Summary
    • In this paper the minimal-speed determinacy of traveling wave fronts of a two-species competition model of diffusive Lotka–Volterra type is investigated. First, a cooperative system is obtained from the classical Lotka–Volterra competition model. Then, we apply the upper-lower solution technique on the cooperative system to study the traveling waves as well as its minimal-speed selection mechanisms: linear or nonlinear. New types of upper and lower solutions are established. Previous results for the linear speed selection are extended, and novel results on both linear and nonlinear selections are derived.
  • Research link
  • key words
    Lotka–Volterra; Traveling waves; Speed selection
Stability of traveling waves to the Lotka-Volterra competition model, Complexity
  • Research Summary
    • In this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated. First, we convert the model into a cooperative system by a special transformation. The local and the global stability of the traveling wavefronts are studied in a weighted functional space. For the global stability, comparison principle together with the squeezing technique is applied to derive the main results.
  • Research link
  • key words
Existence and stability of the steady state solution of a thin film on an inclined periodic solid substrate under gravity, Journal of Asymptotic Analysis
  • Research Summary
    • In this paper, we investigate the dynamics of a liquid film flowing over a periodic wavy wall. This study is based on a long-wave model that is valid at near-critical Reynolds number. For the periodic wall surface, we prove the existence of a periodic steady-state solution to the model by the method of abstract contraction mapping in a particular functional space. Using the Floquet–Bloch theory and asymptotic method, we establish several analytic results on the stability of the periodic steady-state solution in a weighted functional space.
  • Research link
  • key words
    Thin film flow, periodic solution, asymptotic analysis
Order Graph: A new representation of finite groups
  • Research Summary
    • There are many ways to associate a graph with a finite group. Such an association yields many of the group properties. The link established between a graph and a group is usually determined by the definition of the adjacent vertices. In this research, the orders of the elements will take a place in the graph creation. The order graph of a finite group is the directed graph whose vertices are the elements of the group order classes, and for two distinct vertices x and y there is an arc from x to y if and only if x divides y. This paper will cover the creation of the order graph in general and then concentrate on some groups.
  • Research link
  • key words
    Element order - Order classes - Graph - Weighted graph
Periodic steady-state solutions of a liquid film model via a classical method. Canadian Math. Bulletin,
  • Research Summary
    • In this paper, periodic steady-state of a liquid film flowing over a periodic uneven wall is investigated via a classical method. Specifically, we analyze a long-wave model that is valid at the near-critical Reynolds number. For the periodic wall surface, we construct an iteration scheme in terms of an integral form of the original steady-state problem. The uniform convergence of the scheme is proved so that we can derive the existence and the uniqueness as well as the asymptotic formula of the periodic solutions.
  • Research link
  • key words
    film flow; classical methods; asymptotic analysis

# 1. Workshop on Pattern Formation, Dalhousie University, Halifax, Canada, July 18-19, 2015,  https://www.pims.math.ca/scientific-event/150718-wpf, - - # 2. Attendee Bluenose Applied and Computational Math Days Workshop,  Saint Mary's  University, Halifax, Canada, July 9-12, 2015,  https://aarms.math.ca/wp-content/uploads/2015/10/2015Bluenose-1.pdf,  - - # 3. Attendee ARRMS Summer School on Differential Equations,  Dalhousie University and Mary's University, Halifax, Canada, Jul 6-31, 2015,   https://aarms.math.ca/summer2015. - - # 4. Attendee MathZone Training Workshop,  McGraw-Hill Education, King Saud University in Saudi Arabia, 2010.

Department and/or Collage committees, Al-Hussein Bin Talal University, Jordan

# 1. Asia M. Alamamrah (Master Student), Biological invasion speed via traveling wave solution of a reaction-diffusion equations system, Al- Hussein  Bin Talal University, 2020-2021. - - # 2. Heba H. Elkhalaifeh (Master Student) , Traveling waves and spreading speed for the reaction-diffusion equations,  Al- Hussein  Bin Talal University, 2020-2021. - - # 3. Rasha S. Alamarat  (Master Student),  Infectious disease via the SIR epidemic model with COVID-19 as a case study,  Al- Hussein  Bin Talal University, 2020-2021.

# 1. Fellow of the School of Graduate Studies  in recognition of the outstanding academic achievement throughout the graduate program,  Memoria l University, Canada, 2017-2018,  https://www.mun.ca/sgs/current/funding/fellows.php. - - # 2. Scholarship from Al-Hussein Bin Talal University – Jordan to do PhD degree in Applied Mathematics at Memorial University of Newfoundland – Canada, 2013. - - # 3. Scholarship from Ministry of Higher Education and Scientific Research – Jordan to study Bachelor in Mathematics at the University of Jordan – Jordan, 2003.

# 1. Associate Professor in Applied Mathematics , Since Sept. 2022, Al- Hussien Bin Talal University, Ma'an, Jordan. - - # 2. Assistant Professor in Applied Mathematics, Sept. 2017 to Sept. 2022, Al-Hussien Bin Talal University, Ma'an, Jordan. - - # 3. Teaching Assistant, Jan.  2015 to Sept. 2017,  Department of Mathematics and Statistics, Memorial University of Newfoundland, Canada. - - # 4. Full time lecturer, Feb. 2012 to Sept. 2013, Department of Mathematics, Al-Hussein Bin Talal University, Ma'an, Jordan. - - # 5. Full time lecturer, Jan. 2011 to Feb 2012, Department of Mathematics, King Khalid University, Abha, Saudi Arabia. - - # 6. Trainer in preparatory year, Sept. 2010 to Jan. 2011, Education Experts, Riyadh, Saudi Arabia. - - # 7. Teacher of mathematics, Sept. 2006 to Sept. 2010, Wadi Musa High School, Ministry of Education, Jordan.

Head of Mathematics Department, Sept. 2019 to Sept. 2021, Al-Hussein Bin Tala University, Ma'an, Jordan

Calculus Differential Equations Applied Dynamical Systems Numerical Analysis

Pre-Calculus - Calculus (1, 2, and 3) - Introduction to Statistics and Probability - Linear Algebra - Euclidean and non-Euclidean Geometry - Ordinary Differential Equations (1 and 2) - Selected Topics in Differential Equations - Partial  Differential Equations

Academic qualifications and certificates

PhD in Applied Mathematics , Memorial University of Newfoundland, St. John's, Canada, 2017

office hours

On leave

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