DANSU EMMANUEL JESUYON
Publication
The neighbourhood of a given function whose geometric function satisfies a stated condition is considered.
In this work, the authors investigated the coefficient estimates for BazileviÄ Ma-Minda Functions for the class T n α ( λ, β, l, Φ ) . The first few coefficient bounds for this class were obtained and also the relevant connection to Fekete-Szegö theorem and were briefly discussed. Our results serve as a new generalization in this direction and gives birth to many corollaries.
This study determined the intensity of anthropogenic activities that took place within the chimpanzees’ distribution area in Oluwa Forest Reserve, Southwest Nigeria, and the anthropogenic activities having significant influences on the occurrence of this species. A binomial Generalized Linear Model with a logit link was employed in fitting the anthropogenic activities-Chimpanzees’ occurrence relationship model. Eight human activity indicators were observed, while backward stepwise variable selection algorithm was used for selecting the most significant ones. The encounter rates per kilometer of human activity indicators in the rainy and dry seasons ranged from 0.46 to 1.84 and 0.57 to 2.53 respectively. The model had Akaike’s information criterion of 22, and six anthropogenic activities were observed to have significant influences on the occurrence of chimpanzees namely; current or past agricultural activity, snareline, tree cutting/ timber extraction, regularly used human trails, matchet cuts or broken stems and bark stripping but, campsites were insignificant. Therefore, agricultural activities, timber extraction and hunting are major human threats to this disturbed enclave and their control is quite pertinent in order to curbing these environmental menaces. Control measures such as encouragement of forest guards to intensify anti-poaching and encroachment patrol, and adaptation of community- based participatory management approach in integrating the host communities of this reserve to ensure continual perpetuity of this species are necessary. These mitigating steps will bring effective and efficient management of chimpanzees towardstheir continued survival in the forest.
The general continuous proportional control problems constrained by ordinary differential equations are considered. We discuss the optimization of proportional control problems with equality constraints. The quadratic penalty function method is used to convert the constrained problems into unconstrained problems. Discretization of the objective functions and the constraints is carried out using the Composite Simpson’s Rule and the Fourth-Order Adams-Moulton Technique respectively. The new formulation gives rise to the construction of an operator amenable to the application of the Conjugate Gradient Method (CGM). Analysis of the convergence of the solutions is carried out and the results are found to compare favourably with those obtained from existing algorithms.
