Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation by Zhengwen Yin, Yuanshun Tan

“…In addition to establishing the existence and uniqueness of the global positive solution of the model, we derived the threshold conditions for the extinction and persistence of the disease using the comparison theorem and It$ \hat{o} $'s formula of stochastic differential equations. Subsequently, we obtained the asymptotic stability of both the disease-free equilibrium and the endemic equilibrium of the deterministic model corresponding to the stochastic model through stochastic stability theory. …”
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Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators by Walid Benhadda, Abderrazak Kassidi, Ali El Mfadel, Elomari M'hamed

“…This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space. …”
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Three-Dimensional Exact Free Vibration Analysis of Spherical, Cylindrical, and Flat One-Layered Panels by Salvatore Brischetto

“…The exact solution is developed for the differential equations of equilibrium written in orthogonal curvilinear coordinates for the free vibrations of simply supported structures. …”
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Pharmacodynamics of interspecies interactions in polymicrobial infections by C. Herzberg, J. G. C. van Hasselt

“…To this end, we developed an in silico model which combined agent-based modeling with ordinary differential equations. Our analyses suggest that both interspecies interactions, modifying either drug sensitivity or bacterial growth rate, and drug-specific pharmacological properties drive the bacterial pharmacodynamic response. …”
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Determination of Number of Infected Cells and Concentration of Viral Particles in Plasma during HIV-1 Infections Using Shehu Transformation by M. Higazy, Sudhanshu Aggarwal, Y. S. Hamed

“…The mathematical model of HIV-1 infections contains a system of two simultaneous ordinary linear differential equations with initial conditions. Results depict that Shehu transformation is very effective integral transformation for determining the number of infected cells and concentration of viral particles in plasma during HIV-1 infections.…”
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Competition and Dispersal Delays in Patchy Environments by Nancy Azer, P. van den Driessche

“…The model is formulated as a system of integro-differential equations with an arbitrary distribution of dispersal times between patches. …”
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In Situ Bioremediation of Crude Petroleum Oil Polluted Soil Using Mathematical Experimentation by Modupe Elizabeth Ojewumi, Moses Eterigho Emetere, Damilola Elizabeth Babatunde, Joshua Olusegun Okeniyi

“…The parabolic partial differential equation developed was resolved into a system of ordinary differential equations (ODEs) by orthogonal collocation method and the necessary boundary condition was used. …”
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Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation by Mohammad Nezami, Mohammad Mehdi Mohammadi, Atta Oveisi

“…The resulting linear sets of ordinary differential equations are truncated and then solved numerically by employing Laplace transform technique followed by Durbin’s numerical inversion pattern. …”
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A leaky integrate-and-fire model with adaptation for the generation of a spike train by Aniello Buonocore, Luigia Caputo, Enrica Pirozzi, Maria Francesca Carfora

“…We assume that adaptation is mainly due to a calcium-activated potassium current, and we consider two coupled stochastic differential equations for which an analytical approach combined with simulation techniques and numerical methods allow to obtain both qualitative and quantitative results about asymptotic mean firing rate, mean calcium concentration and the firing probability density. …”
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Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs of the First Kind and Relative Degenerate Equations) by Dimitrios E. Panayotounakos, Theodoros I. Zarmpoutis

“…We provide a new mathematical technique leading to the construction of the exact parametric or closed form solutions of the classes of Abel's nonlinear differential equations (ODEs) of the first kind. These solutions are given implicitly in terms of Bessel functions of the first and the second kind (Neumann functions), as well as of the free member of the considered ODE; the parameter 𝜈 being introduced furnishes the order of the above Bessel functions and defines also the desired solutions of the considered ODE as one-parameter family of surfaces. …”
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A synthesized view of the CSF-blood barrier and its surgical implications for aging disorders by Birra Taha, Robert McGovern, Cornelius Lam, Cornelius Lam

“…We briefly review the mathematical framework for CSF transport as described by a set of well-studied partial differential equations. Moreover, we describe the major contributors of CSF flow through both diffusive and convective forces beginning at the molecular level and extending into macroscopic clinical observations. …”
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On an Interpolation Based Spectral Homotopy Analysis Method for PDE Based Unsteady Boundary Layer Flows by S. S. Motsa

“…This work presents a new approach to the application of the spectral homotopy analysis method (SHAM) in solving non-linear partial differential equations (PDEs). The proposed approach is based on an innovative idea of seeking solutions that obey a rule of solution expression that is defined in terms of bivariate Lagrange interpolation polynomials. …”
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Euler’s Numerical Method on Fractional DSEK Model under ABC Derivative by Fareeha Sami Khan, M. Khalid, Omar Bazighifan, A. El-Mesady

“…The symmetric properties contribute to determining the appropriate method for finding the correct solution to fractional differential equations. The numerical solutions generated using fractional Euler’s method have been plotted for different values of α where α∈0,1 and different step sizes h. …”
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Dynamics of Terrorism in Contemporary Society for Effective Management by Kazeem Babatunde Akande, Julius Adebowale Makinde, Mohammed Olanrewaju Ibrahim

“…Mathematical modelling of epidemiology was conceptualized for the model formulation, and the resulting autonomous differential equations were critically analyzed with the Lipschitz condition, next generation matrix, and Bellman and Cooke’s criteria for the management of insurgency in the society. …”
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A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation by E. Momoniat

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GOLD VALUE WITH TRADABLE AND NON-TRADABLE GOODS IN A MULTI-COUNTRY GROWTH MODEL WITH FREE TRADE by Wei-Bin Zhang

“…We show that the dynamics of the J -country world economy can be described by J differential equations. We simulate the model to demonstrate the existence of an equilibrium point, motion of the dynamic system, and (local) stability of the equilibrium point. …”
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Mathematical Modeling and Analysis of TB and COVID-19 Coinfection by Kassahun Getnet Mekonen, Shiferaw Feyissa Balcha, Legesse Lemecha Obsu, Abdulkadir Hassen

“…This paper introduces a mathematical model for the transmission dynamics of TB and COVID-19 coinfection using a system of nonlinear ordinary differential equations. The well-posedness of the proposed coinfection model is then analytically studied by showing properties such as the existence, boundedness, and positivity of the solutions. …”
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Hopf-Bifurcation Analysis of Pneumococcal Pneumonia with Time Delays by Fulgensia Kamugisha Mbabazi, Joseph Y. T. Mugisha, Mark Kimathi

“…The stability theory of delay differential equations is used to analyze the model. The results show that the disease-free equilibrium is asymptotically stable if the control reproduction ratio R0 is less than unity and unstable otherwise. …”
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Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model by Fabien Crauste

“…We analyze the asymptotic stability of a nonlinear system of two differential equations with delay,describing the dynamics of blood cell production. …”
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GOLD VALUE WITH TRADABLE AND NON-TRADABLE GOODS IN A MULTI-COUNTRY GROWTH MODEL WITH FREE TRADE by Wei-Bin Zhang

“…We show that the dynamics of the J -country world economy can be described by J differential equations. We simulate the model to demonstrate the existence of an equilibrium point, motion of the dynamic system, and (local) stability of the equilibrium point. …”
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