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Aug 25, 2026Open Access
This paper studies the constrained minimization problem for the Schrödinger-Poisson system with a ring-shaped potential and a logarithmic convolution term in . The energy functional is made well-defined by introducing a weighted Sobolev space and decomposing the logarithmic kernel. D...
Jul 28, 2026Open Access
The study and analysis of dynamical is currently important, especially in applied fields. The research presents a numerical and analytical study of the classical model for under standing the dynamic behavior of the suggested a three dimensional biomathematical autonomous system, which made up of three ordinary equations, that represent the model variables. The dynamic properties of the suggested system are verified by equilibrium points and its stability such as the roots of the characteristic e...
Mar 23, 2026Open Access
In this paper, the analysis of a mathematical model for the control of measles using vaccination is presented. The disease reproductive number (R 0) is computed and used to derive an expression of a reduction factor in the disease spread resulting from the implementation of immunization program in the community. The Routh-Hurwitz stability conditions are adopted to analyze the model equilibria in terms of their local stability. Lyapunov function candidates are used to determine the glo...
Mar 05, 2026Open Access
This paper is devoted to the normalized solutions of the two-dimensional Gross-Pitaevskii system with a microwave field and inhomogeneous interactions. By investigating the relevant L 2-critical constrained variational problem, we get the existence and nonexistence of the normalized solutions under suitable assumptions about the interaction potentials. We establish the existence and nonexistence of minimizers of via a threshold , where is the square ...
Feb 12, 2026Open Access
We consider a constrained variational problem where the energy functional includes a logarithmic convolution term and an external potential . There is a threshold that we establish existence and nonexist-ence results for constraint minimizers: for , minimizers exist for any ; for with and with , no minimizer exists. Furthermore, for and , we analyze the limiting behavior of positive minimizers, showing that...
Jan 12, 2026Open Access
Many diagnostics-focused artificial intelligence techniques in the state-of-the-art rely on combinations of least-squares-based autoregressive models and neural-network-like approaches. Prognostics algorithms can be built on top of the magic numbers generated from their result, but these magic numbers have limited physics-based meaning and a sampling of the system’s behavior in each of the multitude of failed states is likely necessary. In contrast, if a system identification algorithm could acc...
Oct 31, 2025Open Access
Corruption is a societal challenge facing many governments and human institutions globally. This paper presents the analysis of a deterministic model of corruption taking into account honest/incorruptible individuals. We first proved that the model formulated is well-posed. We computed the corruption-free equilibrium state, the corruption basic reproduction number ( R0 ) and established that the corruption-free state is locally and globally stable whenever R...
Jul 29, 2025Open Access
Two isotropic harmonic oscillators in a magnetic field on the non-commutative phase space ( NCPS) are studied in this paper. We derive the corresponding entanglement entropies of the vacuum state and we find analytically purity function, Hall conductivity and the energy density. Transition-state theory is also developed to examine the purity function and the energy density. By considering the action of the non-commutativity parameters, entanglement and Hall conductivity present a similar...
Feb 18, 2025Open Access
Many kinds of explicit and exact solutions of the nonlinear Newell equation, including the solitary wave solution, the singular traveling wave solution, and the triangle function-type periodic wave solutions, are presented by a direct trial function approach.
Dec 17, 2024Open Access
Reservoir rock porosity is usually determined by core analysis, but the cost of this method is huge, in order to establish a more accurate and stable reservoir porosity prediction model. Using the logging data of the existing work area, we optimize the neural network using the improved sine-cosine algorithm, add nonlinear weights to the position change of the sine-cosine algorithm (SCA) to correct the individual position and improve the convergence accuracy of the algorithm, incorporate the Levy...
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