College of Computer Science and Mathematics

Discussion of Ph.D. Dissertation in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:

“ Continuous Dynamical Systems and Their Behavior Based on Nature – inspired Algorithms“

It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Thursday, 4 -8-2025.

Ph.D. Dissertation by Student Karam Adel Abed Mohammed

under the supervision of

Prof. Dr. Omar Saber Qasim and Prof. Dr. Saad Fawzi Jasim Saied

Chaotic systems are among the most important nonlinear models that help in understanding complex phenomena. This research focuses on developing a three-dimensional chaotic model that simulates a predator–prey interaction while enhancing dynamic properties. Two optimization approaches were used: the first relies on analyzing Lyapunov exponents to generate initial values, and the second employs metaheuristic algorithms such as Particle Swarm Optimization (PSO) and Walrus Optimizer (WAO). The results showed that both approaches achieve a balance between enhancing chaos and flexibility, contributing to higher performance of the chaotic system. The study highlights the importance of integrating mathematical analysis with artificial intelligence to develop nonlinear models.

The scientific committee included the following members:

• Dr. Ban Ahmed Hassan.
• Dr. Iman Tariq Hamed– Chairman.
• Dr. Radhi Ali Zaboon- Member.
• Dr. Ghada Muayyad Rashid- Member.
• Prof. Dr. Jamal Salah El-Din Rashid – Member.
• Dr. Saaf Fawzy Jassim – Member and supervisor.
• Dr. Omar Saber Qasim – Member and supervisor.