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Optimal control of a dengue model with cross-immunity
Mathematical modelling of a dengue epidemic with two serotypes including a temporary cross-immunity yields a nonlinear system consisting of ordinary...
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On bihom-gerstenhaber algebras up to homotopy
In the current research paper, we define and investigate the concept of BiHom-Gerstenhaber algebra. This algebraic structure is defined by two linear...
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Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups
This article marks the inaugural exploration of certain classes of negative or positive definite functions in several p -adic variables. Associated...
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On two conjectures related to cubic residues
In a recent paper by Yuan and Zhang (Indian J. Pure Appl. Math. 54(3):806–815, 2023), the authors put forward two conjectures regarding
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Correction of nonmonotone trust region algorithm based on a modified diagonal regularized quasi-Newton method
In this paper, a new appropriate diagonal matrix estimation of the Hessian is introduced by minimizing the Byrd and Nocedal function subject to the...
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Bounds of the Solution Set to the Polynomial Complementarity Problem
In this paper, we investigate bounds of solution set of the polynomial complementarity problem. When a polynomial complementarity problem has a...
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Prevention and control of Ebola virus transmission: mathematical modelling and data fitting
The Ebola virus disease (EVD) has been endemic since 1976, and the case fatality rate is extremely high. EVD is spread by infected animals,...
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Particle Swarm Optimization Numerical Simulation with Exponential Modified cubic B-Spline DQM
Optimization techniques refer to a collection of mathematical algorithms and methodologies used to discover the best possible solutions for specific...
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Positivity and matrix inequalities: some reminiscences of K. R. Parthasarathy
One of K. R. Parthasarathy’s major and abiding interests was the theory of positive definite functions and especially its relation to classical and...
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Convex Predictor–Nonconvex Corrector Optimization Strategy with Application to Signal Decomposition
Many tasks in real life scenarios can be naturally formulated as nonconvex optimization problems. Unfortunately, to date, the iterative numerical...
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Existence of Nontrivial Solutions to a Critical Fourth-Order Kirchhoff Type Elliptic Equation
In this paper, a critical fourth-order Kirchhoff type elliptic equation with a subcritical perturbation is studied. The main feature of this problem...
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Global Well-Posedness and Exponential Decay of Strong Solution to the Three-Dimensional Nonhomogeneous Bénard System with Density-Dependent Viscosity and Vacuum
In this paper, we are concerned with the three-dimensional nonhomogeneous Bénard system with density-dependent viscosity in bounded domain. The...
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On the thermal flow through a porous annular region
This paper reports the analytical results on the non-isothermal stationary fluid flow inside thin vertical annular region formed by two co-axial...
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Upper bound for the second and third Hankel determinants of analytic functions associated with the error function and q-convolution combination
Recently, El-Deeb and Cotîrlă (Mathematics 11:11234834,
2023 ) used the error function together with a q -convolution to introduce a new operator. By... -
Parabolicity and Cheeger’s constant on graphs
Herein we study p -parabolicity on graphs. We prove that if a uniform graph satisfies the (Cheeger) isoperimetric inequality, then it is non- p -paraboli...