# Mathematics Research Papers/Topics

##### THE ROLE OF INCUBATION PERIOD IN A DISEASE MODEL WITH LOGISTIC AND LINEAR RECRUITMENT RATES

In this research work, we have reviewed and studied two disease models: a disease model with logistic recruitment rate with and without incubation period and a disease model with linear recruitment rate with and without incubation period.  The existence and stability or otherwise of the equilibrium states of the models were studied; also numerical experiments were conducted using a written computer program in MATLAB function ode45; for which table of parameter values were generated using sec...

68 PAGES (13742 WORDS)
##### Properties of Operations on Soft Ideals and Idealistic Soft Ring

Abstract: Soft set theory initiated by Molodtsov is an important mathematical tool that deals with uncertainties about imprecision and vagueness. Research on soft ideals of ring has been carried out by other researchers. In this paper, we discuss on some properties of soft ring ideals and idealistic soft ring. We state and prove some important theorems and propositions on soft ring ideals and idealistic of soft ring that has not been studied by other researchers.

8 PAGES (4645 WORDS)
##### Differential Forms: A Tool for Linearizing Second Order Ordinary Differential Equations

Abstract: In this paper, we presented the differential forms method which is used in the linearization of second order non-linear differential equations. The differential forms used here is limited to 2-forms with their respective operations. After presentation of the method, an example is used to illustrate the procedure of the linearization problem. Keywords Linearization, Differential forms, Differential Equations, Second Order

7 PAGES (2722 WORDS)
##### A Study of the Fundamentals of Fuzzy Set

Abstract The fundamental idea of the project is to provide basic and concrete concepts of the fuzzy set theory, and thus focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand. It tries to explain the emergence of fuzzy sets from historical perspective. Looking back to the history of sciences, it seems that fuzzy sets were bound to appear at some point in the 20th century. Indeed, Zadeh's works have cristalized and popularize...

40 PAGES (7053 WORDS)
##### Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor

This work considers the direct solution of general third order ordinary differential equation. The method is derived by collocating and interpolating the approximate solution in power series. A single hybrid three-step method is developed. Taylor series is used to generate the independent solution at selected grid and off grid points. The order, zero stability and convergence of the method were established. The developed method is then applied to solve some initial value problems of third ord...

8 PAGES (3167 WORDS)
##### RELEVANCE OF MATHEMATICS AS A CORE SUBJECT IN SENIOR SECONDARY SCHOOLS IN NSUKKA LOCAL GOVERNMENT AREA OF ENUGU STATE

ABSTRACT This project studied the relevance of Mathematics as a core subject in senior secondary schools in Nsukka Local Government Area of Enugu State. The following research questions were posed to help the researchers in conducting this research: what are the benefits of teaching Mathematics in schools? Are adequate instructional materials used in the study of the subject? Are teachers encouraged to teach the subject matter? Is Mathematics relevant to other subjects? The information fo...

38 PAGES (7329 WORDS)
##### THE RELEVANCE OF MATHEMATICS AS A CORE SUBJECT IN SENIOR SECONDARY SCHOOLS IN NSUKKA LOCAL GOVERNMENT AREA OF ENUGU STATE.

INTRODUCTION The 21st century requires equipping children with basic education in literacy and numeracy, as the more advanced completes skills needed for living that can serve as the foundation of life, enabling the children to adapt and change life abetting to life changing circumstances. Basic education remains the most important factor that enables the very process in enhancing knowledge, skills and attitudes needed for societal and national growth of any country of the world. Learning is...

38 PAGES (6755 WORDS)
##### Effect of Computer-Instructional Package on the Performances of Senior Secondary Students in Quadratic Equations in Bida Educational Zone of Niger state, Nigeria.

Abstract This study investigates the Effect of Computer- Instructional Package (COMPUTER INSTRUCTIONAL PACKAGE) on the Performance of Senior Secondary Students in Quadratic Equation in Bida Educational Zone of Niger State, Nigeria. The study examined the significant of performances of students thought using computer instructional package andLecture method. The sample consisted of 120 senior secondary school students drawn from four secondary schools. Stratified random sampling was used to se...

8 PAGES (2170 WORDS)
##### Mathematical Modelling Of Hiv/Aids Dynamics With Treatment And Vertical Transmission

ABSTRACT This study proposes and analyzes a non-linear mathematical model for the dynamics of HIV/AIDS with treatment and vertical transmission. The equilibrium points of the model system are found and their stability is investigated. The model exhibits two equilibria namely, the disease-free and the endemic equilibrium. It is found that if the basic reproduction number R0 1, the disease-free equilibrium is always locally asymptotically stable and in such a case the endemic equilibrium doe...

91 PAGES (12874 WORDS)
##### MODELING CHOLERA DYNAMICS WITH CONTROLS

ABSTRACT.  In this paper, we present and analyze a cholera epidemiological model with control measures incorporated. This model is extended from the one proposed in [16] by including the effects of vaccination, therapeutic treatment, and water san- itation. Equilibrium analysis is conducted in the case with con- stant controls for both epidemic and endemic dynamics. Opti- mal control theory is applied to seek cost-effective solution of multiple time-dependent intervention strategies against ...

20 PAGES (5467 WORDS)
##### MATHEMATICAL MODELING OF THE EFFECT OF IRRESPONSIBLE IMMIGRANT ON THE TRANSMISSION DYNAMICS OF HIV

ABSTRACT This project proposes a non – linear mathematical model to study the effect of irresponsible infected immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible. The equilibrium points, stability analysis and numerical simulation on the model are presented. It is realised that at the disease – free equilibrium, the model is stable when the basic reproduction number R0

40 PAGES (7823 WORDS)
##### On the Stability of Endemic Equilibrium State of HIV/AIDS Model with Irresponsible Infective Immigrants

ABSTRACT In this paper, a non–linear mathematical model is proposed to study the effects of irresponsible infected immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible receptors. Theequilibrium points, stability analysis, and numerical solution on the model are presented. The Routh–Hurwitz stability condition was employed to examine the stability of the disease– free equilibrium and Next Generation matrix was adopted to g...

15 PAGES (2500 WORDS)
##### EFFECTS OF CONVERGENT AND DIVERGENT THINKING-BASED INSTRUCTIONAL STRATEGIES ON STUDENTS’ ACHIEVEMENT IN SENIOR SECONDARY SCHOOL MATHEMATICS

Abstract This paper determined the effect of the convergent and divergent thinking-based instructional strategies in influencing students’ achievement in mathematics.  The influence of gender on the achievement of students in mathematics was also ascertained.  Two hypotheses were formulated to guide the study.  a quasi-experimental pre-test, post-test, non-equivalent control group design involving two experimental groups and one control group was adopted for the study.  the sample consi...

16 PAGES (2688 WORDS)
##### The use of Technology in the Teaching and Learning of Mathematics

ABSTRACT Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning. Technology in this context includes computers with appropriate mathematical software, Internet and other digital resources, handheld computing tools and their extensions, and future and emerging forms of similar devices and applications. Technology can be used to facilitate mathematical discovery, understanding, and connections that may be diff...

14 PAGES (2078 WORDS)

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