Abstract/Overview In this paper we consider the price dynamics of a portfolio consisting of risk-free and risky assets. The paper discusses the pricing process of a contingent claim, the pricing equation and the risk-neutral valuation under the Martingale representation property. A partial differential equation with an unknown price function is formulated. The solution of this PDE gives a unique pricing formula
Abstract/Overview Forests play a critical role in providing essential goods and services to forest adjacent communities. There is, however, insufficient information on how land uses affect the availability and use of forest products and services by forest adjacent communities. This study analysed the impacts of land use changes on the livelihoods of Mt Elgon forests adjacent communities. Land use changes were assessed for the period 1977-2019 segmented into four time periods corresponding...
Abstract/Overview The study was conducted in Eastern Mau is one of the East Mau forest is an important watershed within the Mau Forest Complex, feeding major rivers and streams that make up the hydrological systems of Lake Victoria and inland Lakes of Nakuru, Baringo and Natron to document the bee flora and their respecetive reward value to compliment the participatory forest conservation approaches incorporating the Ogieks who are predominant forest dwellers, and known for bee keeping sk...
Abstract/Overview Without monitoring of animal behavior and the productivity of their environment, the success of a translocation cannot be properly ascertained, nor can important lessons be learned. This study investigated habitat utilization of the translocated Rothschild’s giraffes in Ruma National Park. Feeding giraffes were observed with an 8x40 pair of binoculars and plants eaten were collected, tagged, pressed and identified. For each plant species, “food- records” were summe...
Abstract/Overview 2-Hydroxy-4-methoxybenzaldehyde (1), a compound isolated from Mondia whytei (Hook) Skeels (Asclepiaceae) roots exhibited larvicidal activity (LD5022 mg/mL). A total of 18 other derivatives and closely related congeners revealed varying levels of larvicidal activity. Several closely related congeners, like 2-benzyloxy-4-methoxybenzaldehyde (2), 2-hydroxybenzaldehyde (12), 2-benzyloxybenzaldehyde (3) and benzylphenyl ether (4), showed marked improvement in activity (LD5010...
Abstract/Overview In this paper, we present results on the necessary and sufficient condi-tions for positivity of operators in non-unital C*- algebras
Abstract/Overview Primaquine (PQ) is one of the most widely used antimalarial drugs and is the only available drug that combats the relapsing form of malaria. PQ use in higher doses is limited by severe tissue toxicity including hematological- and gastrointestinal-related side effects. Nanoformulation of drugs in an appropriate drug carrier system has been extensively studied and shown to have the potential to improve bioavailability, thereby enhancing activity, reducing dose frequency, a...
Abstract/Overview In this paper, attempt to study effects of extreme observations on two estimators of finite population total theoretically and by simulation is made. We compare the ratio estimate with the local linear polynomial estimate of finite population total given different finite populations. Both classical and the non parametric estimator based on the local linear polynomial produce good results when the auxiliary and the study variables are highly correlated. It is however note...
Abstract/Overview Neonatal sepsis (NS) is the third most common contributor to neonatal deaths worldwide, the majority of which occur within the first 72 hours of life (Early-onset sepsis [(EOS)]). Diagnosis of EOS is challenging due to limitations with blood volume, poor sensitivity of culture, delay in culture results, and most importantly, lack of bacterial blood culture capacity in high burden settings. Current syndromic algorithms for diagnosis of EOS lack validations and are needed ...
Abstract/Overview In this paper, attempt to study effects of outliers on two estimators of finite population total theoretically and by simulation is made. We compare the ratio estimate with the local linear polynomial estimate of finite population total given different finite populations. Both classical and the non parametric estimator based on the local linear polynomial produce good results when the auxiliary and the study variables are highly correlated. It is however noted that in th...
Abstract/Overview Differential equations have been used to create mathematical models of real world systems in which rates of change are involved, for example in the study of how population grows or shrinks. One of the earliest models by Thomas Malthus has been found to be unrealistic since it predicts that population will grow exponentially and without bound – a prospect that defies physical limitations. Verhulst in his logistic population model developed a generalized version of the M...
Abstract/Overview We formulate a deterministic mathematical model for the HIV/AIDS.
Abstract/Overview In this paper, we examine conservative autonomous dynamic vibration equation, f(x) = sech 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 New mark method are tabulated and then represented graphically. Further the stability of the algorithms employed is also discussed
Abstract/Overview Land use activities along River Nzoia Drainage Basin, Kenya, include cultivation along the river banks, over grazing, deforestation, draining of wetlands for horticulture, harvesting of sand and brick-making. These activities have brought about changes in soil properties in the drainage basin adversely affecting farming output and the ecosystem in general. Consequently, it is important to understand how the different land use activities influence the soil properties in o...
Abstract/Overview Modeling of some physical phenomena and technological processes taking into account dissipation leads to the Sine-Gordon equation with the first time derivative. The (2+1) Sine-Gordon equation with the first time derivative is used in explaining a number of physical phenomena including the propagation of fluxons in Josephson junctions. This study uses Finite Difference Method to solve (2+1) dimensional Sine-Gordon equation with the first time derivative that models dissi...