Majorly, the world has experienced and is experiencing several outbreaks of infectious diseases that has resulted into an epidemic. The call for proper evaluation and optimal control strategies for such outbreaks is of topmost priority and also reduction or eradication of such infectious disease is paramount. Mathematical models have been developed to this effect to determine, evaluate, predict the spread and ascertain any future effect of such infectious diseases. Our main focus will be main...
Overtime the parameters commonly used to measure the population of a location are number of population in figure, population density in and population growth in percentage. These parameters are not enough to quantify the intensity of the population of the entities of a place. The previous methods of measuring population which are number of population in figure and population density in have huge, lengthy and large figure which is difficult to work with and interpret. Knowing the magnitud...
The generation of coefficients of terms of positive and negative powers of n and −n of Kifilideent rinomial theorem as the terms are progress is stressful and time-consuming which the same problem is identified with coefficients of terms of binomial theorem of positive and negative powers of n and −n. This slows the process of producing the series of any particular trinomial expansion. This study established Kifilideen coefficient tables for positive and negative powers of n and −n ...
This is an incomplete analysis with a mathematical model of the novel coronavirus that aims at presenting a mathematical model that will help give a suitable prediction of the impact of asymptomatic patients who are either diagnosed or undiagnosed. Also, it would be used in estimating the impact of delayed or prompt treatment with individuals who are already tested or diagnosed.
Kifilideen matrix had been in existence which emanate from the Kifilideen trinomial theorem for the arrangement of power combination of each term of the Kifilideen trinomial expansion in sequential order. The continuous interaction with the pattern, progression and sequential order in which the power combination of the positive and negative power of and of Kifilideen trinomial theorem are arranged in the Kifilideen matrix give incite that a general sequence can be developed to follow thi...
The four-figure of power of base numbers of tables needs to be created for easy synchronization with the existing Logarithm table of power of base 10 which is working on four figures. Although the five-figure of power base numbers of tables are more accurate because it is having less approximation in its establishment. The four-figure table is easy to compute doing utilization because it is having less digits to work with. This paper presents the four and five figures of Kifilideen (Powe...
The sequence of the power combination of expansion of the Kifilideen trinomial theorem of positive power of N is arranged in groups and patterns. Having a clearer view or picture of how the formulas of the components of the Kifilideen trinomial expansion were derived can lead to the discovery of formulating formulas for the series and sequences which follows the same pattern of progression as that of the trinomial expansion where series and sequence are not generated from trinomial expan...
Kifilideen trinomial theorem of negative power of – n is theorem which is used to generate the series and terms of a trinomial expression of negative power of – n in an orderly and periodicity manner that is based on standardized and matrix methods. Negative power of Newton binomial theorem had been used to produce series of partial fractions of a compound fraction. The establishment of the negative power of - n of trinomial theorem would extend the number of compound fraction in whic...
Overtime the arrangement of the terms of the trinomial expansion of power of n has been an issue in the area of orderliness and periodicity which as make it difficult to assign each element of the expansion in a standardize term. The study developed Kifilideen trinomial theorem using matrix approach. The Kifilideen equations to determine the power combination of any term of kif trinomial expansion and position of any term in the series of the expansion in a group or column of a kif matrix...
The different methods used in the multiplication of numbers are long method (column method) of multiplication, grid methods and addition methods of multiplication. The utilization of the methods mentioned to solve power (index) of base number (number that multiply itself in a number of times) are horrendous, outrageous, tedious, time consuming and too long to be carried out. This study develops computation of the power of base of number using Kifilideen (matrix, combination and distributi...
Mathematics should be dynamic not static. The use of logarithm table which is based on power of base ten to solve mathematical problem has been in existence for nearly 400 years ago without any alternative which makes mathematics look static, austere and monotonous. Some real life mathematical problem encounter on daily basis in field of Engineering, Physics, Mathematics, Finance, Cosmology, Accounting, Carpentering and Medicine involve problem on other base power of number and in addition ...
In this work a deterministic and stochastic model is developed to investigate the dynamics of Ebola epidemic. The model includes susceptible, exposed, infected, quarantined and removed or recovered individuals. The model used in this work is based on a deterministic model. The Chowel et. al (2015) work on early detection of Ebola is modified by introducing an assumption that the quarantined class is totally successful and cannot infect the susceptible class. The resulting model is transformed...
This work investigated the dynamics of coronavirus amongst the susceptible individuals. It is established herein, with a proposition that there exists a control strategy that is bounded above by 0.01 for the contact rate of susceptible individuals. It is observed that at a=d=1.5, the virus population and the human population coincides, however, at c=b=0.1, almost all the human population is infected by the virus. It is also observed that at endemic state, the corona virus population experienc...
Abstract . New models for a charged anisotropic star in general relativity are found. We consider a linear equation of state consistent with a strange quark star. In our models a new form of measure of anisotropy is formulated; our choice is a generalization of other pressure anisotropies found in the past by other researchers. Our results generalize quark star models obtained from the Einstein-Maxwell equations. Well-known particular charged models are also regained. We indicate that relativ...