主题词：Nonlinear Differential Equations Analysis; Mathematical and Theoretical Epidemiology and Ecology Models; Differential Equations and Numerical Methods; Fractional Differential Equations Solutions; Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Evolution and Genetic Dynamics; Differential Equations and Boundary Problems; Advanced Differential Equations and Dynamical Systems; Numerical methods for differential equations; Nonlinear Dynamics and Pattern Formation; Quantum chaos and dynamical systems; Nonlinear Partial Differential Equations; COVID-19 epidemiological studies; Advanced Mathematical Physics Problems; Nonlinear Waves and Solitons; Mathematical Biology Tumor Growth; Neural Networks Stability and Synchronization; Chaos control and synchronization; Evolutionary Game Theory and Cooperation; Spectral Theory in Mathematical Physics; Advanced Numerical Methods in Computational Mathematics; Numerical methods in inverse problems; Mathematical Dynamics and Fractals; Neural Networks and Applications