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 Dky = 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.
Cite this paper
Aziz, M. M. and Habash, Q. W. (2025). Chaos Control and Synchronization in Nonlinear Prey-Predator Model of Type 1 Diabetes: A Modern IT Perspective. Open Access Library Journal, 12, e13897. doi: http://dx.doi.org/10.4236/oalib.1113897.
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