Academic Articles & Research Papers

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed. The existence and uniquen...

Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions

We study the existence and regularity of weak solutions of a phase field type model for pure material solidification in presence of natural convection. We assume that the non-stationary solidification process occurs in a two dimensional bou...

Microbial network inference for longitudinal microbiome studies with LUPINE

Abstract Background The microbiome is a complex ecosystem of interdependent taxa that has traditionally been studied through cross-sectional studies. However, longitudinal microbiome studies are becoming increasingly popular. These studies ...

Solvability of fractional multi-point boundary-value problems with p-Laplacian operator at resonance

In this article, we consider the multi-point boundary-value problem for nonlinear fractional differential equations with $p$-Laplacian operator: $$\displaylines{ D_{0^+}^\beta \varphi_p (D_{0^+}^\alpha u(t)) = f(t,u(t),D_{0^+}^{\alp...

The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator–Prey System: Stability and Bifurcation Properties

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...

On a Mixed Nonlinear One Point Boundary Value Problem for an Integrodifferential Equation

This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem. We prove the existence and uniqueness of solutions in a we...

Mathematical Objectivity and Mathematical Objects

Abstract Focuses on an issue about the objectivity of mathematics—the extent to which undecidable sentences have determinate truth‐value—and argues that this issue is more important than the issue of the existence of mathematical objects. I...

Exact Solutions of Damped Improved Boussinesq Equations by Extended (G′/G)-Expansion Method

With the help of the auxiliary function method, we solved the improved Boussinesq (IBq) equation with fluid dynamic damping and the modified IBq (IMBq) equation with Stokes damping, and we obtained their three types of travelling wave exact...

Existence and multiplicity of homoclinic solutions for p(t)-Laplacian systems with subquadratic potentials

By using the genus properties, we establish some criteria for the second-order p(t)-Laplacian system $$ \frac{d}{dt}\big(|\dot{u}(t)|^{p(t)-2}\dot{u}(t)\big)-a(t)|u(t)|^{p(t)-2}u(t) +\nabla W(t, u(t))=0 $$ to have at least one, and i...

Mathematics without Numbers

Abstract Develops a structuralist understanding of mathematics, as an alternative to set‐ or type‐theoretic foundations, that respects classical mathematical truth while minimizing Platonist commitments to abstract entities. Modal logic is ...

A remark on Carathéodory type selections

We prove existence of Carathéodory type selections for multifunctions of two variables which are weakly lower semicontinuous with respect to one variable and measurable with respect to the other....

Existence of solutions to steady Navier-Stokes equations via a minimax approach

Existence results and Ulam-Hyers stability for a sequential deformable fractional initial value problem

Abstract In this study, we establish existence and Ulam-Hyers results for nonlinear sequential fractional differential equations involving the deformable derivative. We employ the Banach contraction principle and Krasnoselskii’s theorem to ...

Existence of solutions to fractional p-Laplacian problems with Robin boundary conditions

This article  studies the existence of solutions for the  fractional p-Laplacian problem $$\displaylines{ (-\Delta)_p^su=\lambda|u|^{q-2}u+ \frac{|u|^{r-2}u}{|x|^\alpha}, \quad \hbox{in } \Omega,\cr {N}_{s,p}u(x)+\beta(x)|u|^{p-2}u=0,  \qua...

Marketing Resource Allocation Strategy Optimization Based on Dynamic Game Model

Game theory has become an important tool to study the competition between oligopolistic enterprises. After combing the existing literature, it is found that there is no research combining two-stage game and nonlinear dynamics to analyze the...

Consistencies far beyond chance: an analysis of learner preconceptions of reflective symmetry

This article reports on regularities observed in learners' preconceptions of reflective symmetry. Literature suggests that the very existence of such regularities indicates a gap between what learners know and what they need to know. Such a...

Existence of Three Positive Solutions to Some p-Laplacian Boundary Value Problems

We obtain, by using the Leggett-Williams fixed point theorem, sufficient conditions that ensure the existence of at least three positive solutions to some p-Laplacian boundary value problems on time scales....

History of the international societies in health technology assessment: International Society for Technology Assessment in Health Care and Health Technology Assessment International

The International Society for Technology Assessment in Health Care (ISTAHC) was formed in 1985. It grew out of the increasing awareness of the international dimensions of health technology assessment (HTA) and the need for new communication...

Neurological Manifestations of SARS-CoV-2 Infection: Protocol for a Sub-analysis of the COVID-19 Critical Care Consortium Observational Study

IntroductionNeurological manifestations and complications in coronavirus disease-2019 (COVID-19) patients are frequent. Prior studies suggested a possible association between neurological complications and fatal outcome, as well as the exis...

Analysing criteria for price and reimbursement of orphan drugs in Spain

Objective: There are differences between countries regarding data requirements for orphan drug evaluation and it is also unknown which criteria might determine the price and reimbursement decision. This study aimed to identify the key c...