ISSN: 2310-2799
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546,196 artículos
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Año:
2019
ISSN:
2411-1783
Delgado Moya, Erick Manuel; Marrero Severo, Aymee
National University of Trujillo - Academic Department of Mathematics
Resumen
The Zika Virus (ZIKV) is a virus transmitted by Aedes aegypti mosquitoes (same as the one transmitting dengue and chikungunya fever). The main way of contagion by the ZIKV is caused by the bite of a mosquito that, after feeding from someone contaminated, can transport the virus throughout its life, transmitting the disease to a population that does not have the immunity. It can also be transmitted through a person’s sexual relationship with ZIKV to their partners, even if the infected person does not have the symptoms of the disease. In this work, we present two mathematical models for the Zika epidemic by using (1) ordinary differential equations and, (2) ordinary differential equations with temporal delay (discrete), which is the time it takes mosquitoes to develop the virus. We make a comparison between the two modeling variants. Computational simulations are performed for Suriname and El Salvador, which are countries that are prone to develop the epidemic in an endemic manner.
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Año:
2019
ISSN:
2411-1783
Hernádez Hernández, Jorge Eliecer
National University of Trujillo - Academic Department of Mathematics
Resumen
This article presents some fractional integral inequalities of the Hermite-Hadamard and Minkowski type using the fractional integral operator defined by R.K. Raina (2016) in [1], which generalize some previous results found by L. Bougoffa [5] and S.S. Dragomir [7].
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Año:
2019
ISSN:
2411-1783
Xuan Hung, Le
National University of Trujillo - Academic Department of Mathematics
Resumen
In this paper, we determine list-chromatic number and characterize chromatically unique of the graph G = Kr2 +Ok. We shall prove that ch(G) = r + 1 if 1<=k<=2, G is x-unique if 1<=k<=3.
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Año:
2019
ISSN:
2411-1783
C. Riveros, Carlos M.; V. Corro, Armando M.
National University of Trujillo - Academic Department of Mathematics
Resumen
In this paper we introduce the generalized Helmholtz equation and present explicit solutions to this generalized Helmholtz equation, these solutions depend on three holomorphic functions. As an application we present explicit solutions to the Helmholtz equation. We note that these solutions are not necessarily limited to certain domains of the complex plane C.
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Año:
2019
ISSN:
2411-1783
López C., Roxana
National University of Trujillo - Academic Department of Mathematics
Resumen
We propose and analyze a mathematical model in ordinary differential equations to describe the dynamics of mosquitoes infested by bacteria. The introduction of some bacteria in mosquitoes population aims to diminish gradually the transmission of vector host-diseases. This is a good strategy of biological control.
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Año:
2019
ISSN:
2411-1783
Ortiz Fernández, Alejandro
National University of Trujillo - Academic Department of Mathematics
Resumen
The objetive of this note is to present an extension of the inequality of John-Nirenberg relative to a characterization of the spaces of bounded mean oscillation (spaces BMO). Another extension of this inequality is mentioned.
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Año:
2019
ISSN:
2411-1783
Torchinsky, Alberto
National University of Trujillo - Academic Department of Mathematics
Resumen
We solve the Cauchy problem for the n-dimensional wave equation using elementary properties of the Bessel functions.
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Año:
2019
ISSN:
2411-1783
Pino Romero, Neisser; Salazar Fernández, Christian Ulises; López Cruz, Roxana
National University of Trujillo - Academic Department of Mathematics
Resumen
In the present work, the existence of Uniformly Bound Solutions of a SI Mathematical Model with vital dynamics, with logistic growth for the Susceptibles, developed by Delay Differential Equations is constructed, and the behavior of the solutions will be studied (qualitative analysis) for the Infection-Free Point where the necessary conditions for its asymptotic stability will be determined; and furthermore, that the Uniformly Bounded Solution of the Model tends to the steady state of the Infection-Free Point. In addition, it will be simulated computationally (approximate solutions) with initial populations and epidemiological rates of the model. The simulation will complement the qualitative analysis (behavior of solutions) to conclude trends of behaviors of the transmission of the disease overtime.
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Año:
2019
ISSN:
2411-1783
Zambrano, Marcos
National University of Trujillo - Academic Department of Mathematics
Resumen
In this work, we present some numerical results about the problem of a rising hot solid sphere immersed in a Newtonian fluid which viscosity depends on the temperature. The model formulated to solve the problem considers two dimensionless parameters: The Peclet number, Pe and a parameter related with the viscosity, e. Small and large variations on e lead to interesting results segregated into two regimes which exhibit an asymptotic structure.To carry out the computations to solve the proposed model, the element finite method was used along with a non-slip boundary condition for the contact surface between the sphere and the fluid and the results obtained were compared to those shown recently in papers related wherein contact surface has a slip-boundary condition prescribed.
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Año:
2019
ISSN:
2411-1783
A. Santos, Willyam B.; M. Borjas, Santos D.; C. Moreira, Ricardo W.; L. Bessa, Kleiber
National University of Trujillo - Academic Department of Mathematics
Resumen
The objective of this study is to analyze the hemodynamic factors of flow in an arteriovenous fistula (AVF). The geometric model of the AVF is obtained virtually from a computed tomography. In the mathematical model, which simulates blood flow in the AVF, it is considered a non-Newtonian fluid, incompressible and transient laminar flow. The flow behavior in the AVF is given by the blood velocity in five points corresponding to the mass flow in the systolic phase and in the diastolic phase. The numerical simulation of the velocity field in the systolic phasepresented greater intensity of axial and radial recirculations. The presence of recirculations allows figurative elements to collide excessively in the wall of the endothelium
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