Natural & Applied Sciences

Natural & Applied Sciences Research Papers/Topics

Growth performance of common house cricket (Acheta domesticus) and field cricket (Gryllus bimaculatus) crickets fed on agro-byproducts

Abstract/Overview Abstract The present study was conducted to investigate the growth performance of Acheta domesticus and Gryllus bimaculatus fed on different agro-byproducts. The experiment was carried out between February- July 2017 within Jaramogi Oginga Odinga University of Science and Technology Insect Farm. Randomized Complete Block Design was used as the experimental design with four treatments: rice bran+ blood meal (RBBM), rice bran + spent grain (RBSG), & + rice bran + spent yea...

A Comparative Analysis of Rural Household Food Security in the High Rainfall Zone of Murang’a, Semi– Arid Lands of Kitui and Arid Lands of Isiolo in Kenya

Abstract/Overview Food security is a major global concern. It has insidious effects on the health and development of young children and consequently, adults. The paper assesses the food security status and its key determinants for the rural households of the high rainfall zone (HRZ) of Murang’a, semi–arid lands (SALs) of Kitui and arid lands (ALs) of Isiolo in Kenya. A three stage sampling technique was used for respondents (384) selection. Data collected were: demographics, livelihoo...

Recurrent Malaria in Kenya: Survival Distribution and Equality of Survival Distribution

Abstract/Overview Malaria is a leading cause of morbidity and mortality in Kenya, mostly affecting the rural poor, especially young children and pregnant women. Most clinical studies in malaria involve a number of equally important endpoints. This would normally portend challenges in relation to issues about the study design, analysis of the data and interpretation of the results. The majority of malaria related clinical studies do not factor in or experience difficulties in analyzing rec...

Forecasting Monthly Sugar Cane Yields Using Box-Jenkin’s Predictive Models in Kenya

Abstract/Overview Sugarcane is the main raw material in the production of sugar in Kenya. The supply of sugarcane affects directly the quantity of sugar supplied in the markets. Low supply of sugarcane leads to a decline in the amount of sugar supplied to the markets and vice versa. This creates the need of determining the quantity of sugarcane supplied by the farmers to the industries to facilitate planning. This study employed Box Jenkins predictive models in forecasting the monthly qua...

Effect of Sampling Bias on the Family of Exponential Random Graph Models

Abstract/Overview There is increased use and application of exponential random graphs emanating from use of big data and other techniques. This study sought to establish how sampling bias affects the exponential random graphs. This study was guided by the following objectives: to specify and estimate exponential random graph models with biased sampling, to determine the maximum likelihood estimate for family of exponential random graphs with sampling bias., to determine the suitable sampl...

Extensions of Lefkovitch Matrix for Modeling Invasive Cestrum Aurantiacum Population Dynamics

Abstract/Overview Modeling of invasive species using stage based matrix methods can be exploited to understand population dynamics of plants using stage based Leftkovitch matrix models. This study reviewed and extended the stage based matrix incorporating invasion variables of invasive Cestrum aurantiacum across different forest types, ecological zones and altitudes. The estimation of eigenvalues of the extended stage based Lefkovitch matrix and its corresponding right and left eigenvecto...

Survival Analysis of Broilers in Two Poultry Farms in Kaloleni Sub County

Abstract/Overview This research is about a survival analysis on broilers in two poultry farms in Kaloleni sub-county. Chapter one gives an insight into the introduction of the paper, chapter two discusses the methodology used, chapter three gives the results, chapter four discusses the findings briefly and chapter five gives the conclusions arrived at and some recommendations.

Sensitivity Analyses of Population Projection Matrix of Cestrum Aurantiacum

Abstract/Overview The Lefkovitch stage specific matrix population models are divided into discrete stage classes defined by a growth variable such as size, height and diameter at breast height for trees. In matrix model, the deterministic matrix projection models are used to estimate growth rate, stable size distribution, reproductive values, and sensitivities of the growth rate to changes in vital rates. This study sampled five forest blocks (Kiptogot, Kimothon, Suam, Saboti and Kitale w...

Modeling Household Water Demands Using Sinusoidal Models

Abstract/Overview Household water in Kenya is used in agricultural activities, industrial activities and other uses. A lot of water is consumed by indoor appliances. The water management strategy affects the household demand for water. The future demand of water in Kenyan towns has remained uncertain. Therefore this study sought to model household water demand using the non- parametric model in the spectral domain. This study largely relied on the secondary data that was collected from Gu...

Fitting a Markovian Queuing Model to Bus Park Revenue Collection Point in Kisii Town, Kenya

Abstract/Overview In queuing theory one deals with the mathematical analysis of the performance of queuing systems. In our daily lives customers encounter queues while seeking services in institutions. The increase in the number of customers has resulted to congestion at revenue collection points in Kenyan towns. There is therefore need to study the queuing systems to identify possible remedies. This study sought to fit a queuing model to bus park revenue collection point as a preliminary...

On Tensor Products and Elementary Operators

Abstract/Overview In this paper we describe operator systems and elementary operators via tensor products. We also discuss norms of elementary operators.

Determining Equations of Fourth Order Nonlinear Ordinary Differential Equation

Abstract/Overview Determining Equations are linear partial differential equations. The equation to be solved is subjected to extension generator. The coefficient of unconstrained partial derivatives is equated to zero and since the equations are homogeneous their solutions form vector space [1]. The determining equations obtained leads to n-parameter symmetries.

Lie Symmetry Solution of Fourth Order Nonlinear Ordinary Differential Equation: (yy'(y(y') -1)'')'=0

Abstract/Overview The equation F(x, y, y, y, y, y (4))  0 is a one-space dimension version of wave equation. Its solutions can be classified either as analytic or numerical using finite difference approach, where the convergence of the numerical schemes depends entirely on the initial and boundary values given. In this paper, we have used Lie symmetry analysis approach to solve the wave equation given since the solution does not depend on either boundary or initial va...

Wilson-Theta Algorithm Approach to solution of Dynamic Vibration Equations

Abstract/Overview In this paper, we examine conservative autonomous dynamic vibration equation, x¨ = − tanh2 x, which is time vibration of the displacement of a structure due to the internal forces, with no damping or external forcing. Numerical results using Wilson-theta method are tabulated and then represented graphically. Further the stability of the algorithms employed are also discussed.

Spatial Motion of Multi-Pendula Systems

Abstract/Overview A multiple chain pendula system constrained to move in space has been studied within the framework of a generalized coordinate system by using the Lagrangian formalism. Equations of motions for many body pendula systems have been derived .These equations concur very well with known data. We confirm that equations of motion for any values of n and l can be generated from our general equation which presents interesting characteristics. Solutions to these multi-pendula equa...


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