Combined Effects in Singular Elliptic Problems in Punctured Domain by Imed Bachar, Habib Mâagli, Hassan Eltayeb

“…The paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. …”
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Mathematical Modeling of Commensalism Between Two Species with Limited Resources. by Namutebi, Aminah

“…This model is characterized by a pair of first-order non-linear coupled differential equations. All four equilibrium points of the model are identified and the nature of stability of the four equilibrium points is discussed using the Jacobian and trace determinant method. …”
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Mathematical Modelling of the Transmission of Malaria. by Atubangire, Felix

“…The model takes in the ordinally differential equations. The basic reproduction number Ro is obtained. …”
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Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination by Musiime, Catherine

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A Double Resistive–Capacitive Approach for the Analysis of a Hybrid Battery–Ultracapacitor Integration Study by Adrian Chmielewski, Piotr Piórkowski, Krzysztof Bogdziński, Paweł Krawczyk, Jakub Lorencki, Artur Kopczyński, Jakub Możaryn, Ramon Costa-Castelló, Stepan Ozana

“…Consequently, the set of differential equations describing the HESS dynamics is provided. …”
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Second order slip micropolar MHD hybrid nanofluid flow over a stretching surface with uniform heat source and activation energy: Numerical computational approach by Syed Arshad Abas, Hakeem Ullah, Mehreen Fiza, Ali Akgul, Aasim Ullah Jan, Magda Abd El-Rahman, Seham M. Al-Mekhlafi

“…These PDEs are subsequently transformed into a set of ordinary differential equations (ODEs) using similarity transformations. …”
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Stoichiometric Plant-Herbivore Models and Their Interpretation by Yang Kuang, Jef Huisman, James J. Elser

“…Our model takes the simple form of asystem of two autonomous ordinary differential equations. It canbe shown that our model includes the LKE model (Loladze, Kuang and Elser (2000)) as a special case. …”
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On the Regularity of the Entropy Solution of the Fractional-Semigeostrophic Equation Using Ultrafilters by Gilles Tamba Bokolo

“…This work lays the groundwork for future studies on fractional partial differential equations in geophysical contexts, potentially leading to more accurate predictive models in meteorology and oceanography.…”
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Solution of Moving Boundary Space-Time Fractional Burger’s Equation by E. A.-B. Abdel-Salam, E. A. Yousif, Y. A. S. Arko, E. A. E. Gumma

“…The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. …”
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RESPONSES OF DOUBLE DEGREE OF FREEDOM VIBRATION SYSTEM ON THE SEMI CIRCULAR RIGID PLATFORM EMBEDDED IN GROUND by ZOU NiXian

“…The total displacement in the half space media was given using elastic wave theory,and the second order constant coefficient differential equations with which the double degree of freedom oscillatory system can also be given with the vibration theory,the unknown coefficients in the scattering functions can be obtained using the displacement and stress continuity conditions on the interface between the media and the rigid platform. …”
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Solution theory of fractional SDEs in complete subcritical regimes by Lucio Galeati, Máté Gerencsér

“…We consider stochastic differential equations (SDEs) driven by a fractional Brownian motion with a drift coefficient that is allowed to be arbitrarily close to criticality in a scaling sense. …”
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Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation by Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin

“…We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. …”
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Nonexistence of Global Solutions for Coupled System of Pseudoparabolic Equations with Variable Exponents and Weak Memories by Kh. Zennir, H. Dridi, S. Alodhaibi, S. Alkhalaf

“…The nonsolvability of boundary value problem for damped pseudoparabolic differential equations with variable exponents is investigated. …”
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Mathematical Model for Thermal Processes of Single-Core Power Cable by D. I. Zalizny, S. N. Prohorenko

“…Thermal processes between homogeneous bodies are described by a system of four differential equations. The paper contains a proposal to solve this system of equations with the help of a thermal equivalent circuit and the Laplace transform. …”
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Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model by Linqiang Yang, Yafei Liu, Hongmei Ma, Xue Liu, Shuli Mei

“…The method’s extension to other time-fractional partial differential equations (PDEs) is also possible. The algorithm’s complexity analysis illustrates the concise function’s efficiency advantage over the original expression when solving time-fractional PDEs. …”
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Dynamic Behaviors and Analytical Solutions of the Damped (2+1)-Dimensional Nonlinear Schrödinger Equation by Yongyi Gu, Feng Ye, Baixin Chen, Najva Aminakbari

“…Our results indicate that the extended systematic method for solving differential equations is more convenient and yields richer solutions. …”
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A New Family of Phase-Fitted and Amplification-Fitted Runge-Kutta Type Methods for Oscillators by Zhaoxia Chen, Xiong You, Xin Shu, Mei Zhang

“…In order to solve initial value problems of differential equations with oscillatory solutions, this paper improves traditional Runge-Kutta (RK) methods by introducing frequency-depending weights in the update. …”
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Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment by Gopal Chandra Shit

“…The governing coupled nonlinear differential equations of magnetohydrodynamic (MHD) fluid flow are reduced to a nondimensional form, which are then characterized by four dimensionless parameters. …”
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Heteroclinic bifurcation for a general predator-prey model with Allee effect and state feedback impulsive control strategy by Qizhen Xiao, Binxiang Dai

“…We firstly show the existence of order-$1$ heteroclinic cycle and order-$1$ positive periodic solutions by using the geometric theory of differential equations for the unperturbed system. Based on the theory of rotated vector fields, the order-$1$ positive periodic solutions and heteroclinic bifurcation are studied for the perturbed system. …”
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Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms by Shahram Rezapour, Ali Boulfoul, Brahim Tellab, Mohammad Esmael Samei, Sina Etemad, Reny George

“…This work is reserved for the study of a special category of boundary value problems (BVPs) consisting of Liouville–Caputo integro-differential equations with multiple nonlinear terms. This fractional model and its boundary value conditions (BVCs) involve different simple BVPs, in which the second BVC as a linear combination of two Caputo derivatives of the unknown function equals a nonzero constant. …”
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