%0 Journal Article
%T Chaos Control and Synchronization in Nonlinear Prey-Predator Model of Type 1 Diabetes: A Modern IT Perspective
%A Maysoon M. Aziz
%A Qusay W. Habash
%J Open Access Library Journal
%V 12
%N 8
%P 1-20
%@ 2333-9721
%D 2025
%I Open Access Library
%R 10.4236/oalib.1113897
%X This paper investigates the behavior of a prey-predator system in continuous time obtained by non-linear differential equations arising from diabetes of type one. We study the stability of equilibrium points, dissipativity multistability, Wave Form, state space analysis Lyapunove exponents, and bifurcation. A new Lyapunove function is constructed, and the analysis of stability is consistent with other methods of stability. The analysis shows that the predator-prey system is unstable and chaotic with Kaplan-York dimension D<sub>ky</sub> = 1.5121. A novel feature of the system has coexisting attractors and multistability for two different sets of initial conditions. Finally, the adaptive control Strategy based on Lyapunove¡¯s method has been applied to investigate chaotic control and synchronization. Numerical simulations demonstrate that the proposed control laws successfully achieve master-Slave (drive-response) Synchronization and effective chaos Suppression. The analysis was conducted using modern programming languages, most notably MATLAB 2024 and Spss 25.
%K Bifurcation
%K Stability
%K Multistability
%K Lyapunove Dimension
%K Synchronization
%K Control
%U http://www.oalib.com/paper/6867571