مختصر السيرة الذاتية

لدى الدكتور أحمد الحسنات خبرة واسعة في التدريس والبحث في الرياضيات. حصل على شهادته الأولى من الجامعة الأردنية في الأردن، وتابع دراسة الماجستير في جامعة مؤتة في الأردن، ثم حصل على منحة دراسية لمتابعة درجة الدكتوراه في الرياضيات التطبيقية في جامعة ميموريال في كندا، من عام 2013 إلى عام 2017، وأثناء دراسته حصل على لقب "زميل كلية الدراسات العليا" تقديراً لإنجازاته الأكاديمية المتميزة. قام الدكتور الحسنات بتدريس عدة مقررات في الرياضيات لبرامج البكالوريوس والدراسات العليا، وقاد برامج تدريبية مختلفة، وأشرف على العديد من طلاب الدراسات العليا. شغل عدة مناصب كمدرس ومحاضر ومساعد تدريس في الأردن والسعودية وكندا بين عامي 2006 و2017. وفي سبتمبر من عام 2017، تم تعيينه أستاذاً مساعداً في الرياضيات التطبيقية في جامعة الحسين بن طلال في الأردن، وحضل على الترقية لرتبة أستاذ مشارك في سبتمبر من عام 2022. وفي خلال هذه الفترة من عمله في جامعة الحسين بن طلال تم تعيينه رئيساً لقسم الرياضيات من سببتمبر 2019 إلى أغسطس 2021.

الدرجة التخصص الجامعة السنة
شاهد المؤهلات
 درجة الدكتوراة في الرياضيات التطبيقية، جامعة ميموريال، سانت جونز, كندا, 2017. -
 2000
المنصب الجامعة / القسم الفترة
راجع التفاصيل
# 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.
 -
-		 2000/01
المنصب المؤسسة الفترة
راجع التفاصيل
رئيس قسم الرياضيات في جامعة الحسين بن طلال، معان, الأردن, 9/2019-9/2021
 - 2000/01
1
Existence and stability of the steady state solution of a thin film on an inclined periodic solid substrate under gravity, Journal of Asymptotic Analysis
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
2
Minimal-speed selection of traveling waves to the Lotka-Volterra competition model, Journal of Differential Equations.
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
3
On a conjecture raised by Yuzo Hosono. J. Dynamics and Differential Equations
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
4
On the conjecture for the pushed wavefront to the diffusive Lotka–Volterra competition model. Journal of Mathematical Biology
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
5
Order Graph: A new representation of finite groups
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
6
Periodic steady-state solutions of a liquid film model via a classical method. Canadian Math. Bulletin,
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
7
Stability of traveling waves to the Lotka-Volterra competition model, Complexity
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
8
Existence and stability of the steady state solution of a thin film on an inclined periodic solid substrate under gravity, Journal of Asymptotic Analysis
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
9
Minimal-speed selection of traveling waves to the Lotka-Volterra competition model, Journal of Differential Equations.
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
10
On a conjecture raised by Yuzo Hosono. J. Dynamics and Differential Equations
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
11
On the conjecture for the pushed wavefront to the diffusive Lotka–Volterra competition model. Journal of Mathematical Biology
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
12
Order Graph: A new representation of finite groups
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
13
Periodic steady-state solutions of a liquid film model via a classical method. Canadian Math. Bulletin,
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
14
Stability of traveling waves to the Lotka-Volterra competition model, Complexity
أخرى 2000
المجلة
تاريخ النشر2000/01/01
المؤلفون
نوع المنشورأخرى
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.
عنوان الرسالة الطالب النوع / الدور الحالة
# 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. راجع التفاصيل ماجستير
مشرف رئيسي		 مكتملة
الورشة المنظم التاريخ الدور
# 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.
 -
 2000/01/01 مشارك
اللجنة المنظمة الدور الفترة
Department and/or Collage committees, Al-Hussein Bin Talal University, Jordan
 عضو 2000/01 —
الجائزة الجهة المانحة السنة المبلغ
# 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.
جائزة
 - 2000

معلومات إضافية

اليوم الوقت الموقع الفصل
الأحد 09:00 AM — 10:00 AM On leave
مجال الاهتمام الوصف
تتركز اهتمامات الدكتورة الحسنات البحثية على الأنماط المكانية والزمانية التي يتم وصفها ونمذجتها باستخدام المعادلات التفاضلية. وعلى وجه الخصوص، فهو يعمل على اثبات وجود ودراسة سلوك واستقرار الحلول لنماذج المعادلات التفاضلية الجزئية التي تستخدم لدراسة الأنظمة البيولوجية أو الفيزيائية أو الكيميائية. وقد عمل مؤخراً على دراسة وجود واستقرار الحلول الموجية لنموذج يصف الغزو البيولوجي بالإضافة إلى تحديد سرعة الغزو. عمل الدكتور الحسنات على تطوير طريقة مفيدة في هذا المجال وتحسين نتائج مهمة.
المجال الوصف
علم التفاضل والتكامل - المعادلات التفاضلية وتطبيقاتها - الأنظمة الديناميكية وتطبيقاتها - الحلول العددية لأنظمة المعادلات التفاضلية.
المساق الرمز المستوى الساعات
التفاضل والتكامل - مبادئ الإحصاء والاحتمالات - الجبر الخطي - الهندسة الإقليدية الحديثة - المعادلات التفاضلية العدية - المعادلات التفاضلية الجزئية - مواضيع متقدمة في المعادلات التفاضلية. - بكالوريوس