OALib Journal
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Apr 10, 2019Open    AccessArticle

The Explicit Fatunla’s Method for First-Order Stiff Systems of Scalar Ordinary Differential Equations: Application to Robertson Problem

Hippolyte Nyengeri, Eugène Ndenzako, Rénovat Nizigiyimana
Ordinary differential equations (ODEs) are among the most important mathe-matical tools used in producing models in the physical sciences, biosciences, chemical sciences, engineering and many more fields. This has motivated re-searchers to provide efficient numerical methods for solving such equations. Most of these types of differential models are stiff, and suitable numerical methods have to be used to simulate the solutions. Th

Oct 30, 2018Open    AccessArticle

Correlation of Brownian Motions and Its Impact on a Reinsurer’s Optimal Investment Strategy and Reinsured Proportion under Exponential Utility Maximization and Constant Elasticity of Variance Model

Silas A. Ihedioha
This work investigated a reinsurer’s optimal investment strategy and the pro-portion he accepted for reinsurance under proportional reinsurance and expo-nential utility preference in the cases where the Brownian motions were corre-lated and where they did not correlate. The reinsurer invested in a market in which the price process of the risky asset is governed by constant elasticity of variance (CEV) model. The required Hamilton-

Jun 26, 2018Open    AccessArticle

Solvability of a Class of Operator-Differential Equations of Third Order with Complicated Characteristic on the Whole Real Axis

Abdel Baset I. Ahmed, Mohamed A. Labeeb
On the whole real axis, we demonstrate sufficient conditions of regular solvability of third order operator-differential equations with complicated characteristics. These conditions were formulated only by the operator coefficients of the equation. In addition, by the principal part of the equation, the norms of the operators of intermediate derivative were estimated.

Dec 19, 2017Open    AccessArticle

On the Solvability of the Boundary-Value Problem for the First Order Operator-Differential Equations with Multiple Characteristics

Mohamed A. Labeeb, Ahmed L. Elbably, Abdel Baset I. Ahmed
In this paper, a class of operator-differential equation of the first order with multiple characteristics is considered, for which the initial boundary value problem on the semi-axis is well-posed and uniquely solvable in the Sobolev space.

May 03, 2017Open    AccessArticle

A Deterministic Mathematical Model for Direct and Indirect Transmission Dynamics of Typhoid Fever

Stephen Edward
Improvements in sanitation and the provision of clean drinking water led to the elimination of typhoid fever from developed countries in the beginning of the 20th century. However, Salmonella typhi and paratyphi remain a major source of morbidity and mortality in many developing countries toda

Nov 02, 2016Open    AccessArticle

About the Integral Equations for Calculation of Green’s Tensor in Elastic Inhomogeneous Medium

Igor Petrovich Dobrovolsky
The scheme of creation of systems of the integro-differential equations for evaluation of Green’s function in non-uniform elastic boundless medium is described. The summand with singularity is allocated. The isotropic medium with constant coefficient of Poisson and unidimensional inhomogeneous isotropic medium are considered.

Aug 19, 2016Open    AccessArticle

On Quantitative Approach to Parametric Identifiability of Dual HIV-Parasitoid Infectivity Model

Bassey E. Bassey, Lebedev K. Andreyevich
In this present paper, we proposed and formulated a quantitative approach to parametric identifiability of dual HIV-parasitoid-pathogen infectivity in a novel 5-dimensional algebraic identifiability HIV dynamic model, as against popular 3-dimensional HIV/AIDS models. In this study, ordinary differential equations were explored with analysis conducted via two improved developed techniques—the method of higher-order derivatives (MHO

Jun 23, 2016Open    AccessArticle

An Accurate Five Off-Step Points Implicit Block Method for Direct Solution of Fourth Order Differential Equations

Monday Kolawole Duromola
In this article, my focus is the derivation, analysis and implementation of a new modified one-step implicit hybrid block method with five off-step points. The derived method is to solve directly initial value problems of fourth order ordinary differential equations. The approach for the derivation of the method is to interpolate the approximate power series solution to the problem and to coll

Apr 22, 2016Open    AccessArticle

On Analysis of Parameter Estimation Model for the Treatment of Pathogen-Induced HIV Infectivity

Bassey E. Bassey, Lebedev K. Andreyevich
Multiplicity of new cases of HIV/AIDS and its allied infectious diseases daunted by lack of proper parametric estimation necessitated this present work. Formulated using ordinary differential equation was a five-dimensional (5D) differential mathematical model with which compatibility of optimal control strategy for dual (viral load and parasitoid-pathogen) infectivity in the blood plasma was investigated. Discretization method indicated the incompatibility of the model due to large error deriva...

Apr 18, 2016Open    AccessArticle

Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations

Friday Oghenerukevwe Obarhua, Sunday Jacob Kayode
A symmetric hybrid linear multistep method for direct solution of general third order ordinary differential equations is considered in this paper. The method is developed by interpolation and collocation approach using a combination of power series and exponential function as basis function. The consistency, stability, order and error constant of the method were determined. The results showed that the method is consistent, zero stable and of order five with low error constant. The accuracy compa...