In this paper, we consider the development of a class of one-step hybrid third derivative block method with three off-grid points for the direct solution of initial value problems of second order Ordinary Differential Equations. We adopted method of interpolation and collocation of power series approximate solution to generate the continuous hybrid linear multistep method, which was evaluated at grid points to give a continuous block method. The discrete block method was recovered when the continuous block method was evaluated at selected grid points. The basic properties of the method was investigated and was found to be zero-stable, consistent and convergent. The efficiency of the method was tested on some stiff equations and was found to give better approximation than the existing method, which we compared our result with.

In 1972, D.S. Scott developed a qualitative mathematical technique for modeling the meaning of recursive specifications in Deno-tational Semantics. In this paper we show that the same original Scott’s technique remains helpful for Asymptotic Complexity Analy-sis of algorithms requiring really a reduced number of hypotheses and elementary arguments. Thus, we will disclose that such a qualitative approach presents a uni ed mathematical method that is useful for Asymptotic Complexity Analysis and Denotational Semantics. More-over, we will emphasize the introduced technique applying the results to provide the asymptotic complexity (upper and lower bounds) of the running time of computing of a celebrated algorithm. 2010 AMS Classification: 47H10, 54F05, 68N30, 68Q55, 68Q25, 68W40

Malaria is one of the most common mosquito borne diseases. Temperature is an important factor which affects the life cycle of the mosquitoes and transmission dynamics of the malaria disease. In the present work, we use SEIR compartmental model for the human population and LSEI compartmental model for mosquito population taking temperature dependent parameters. Basic reproduction number, R0 of the model is computed using Next Generation Matrix Method. Stability of the disease free equilibrium and the existence of the endemic equilibrium point are discussed by basic reproduction number, R0. Numerical results are carried out with different temperature levels. It is observed that temperature affects the transmission dynamics of malaria disease significantly.

In this research article, a model for the transmission dynamics of haemorghagic conjunctivitis disease is presented. The tool of dynamical system is employed in investigating the potency of the spreading of the epidemic. The analysis revealed the likelihood of the epidemic to spread when the the basic reproduction number exceeds one. The model is reformulated as optimal control problem to assess the effectiveness of the proposed control strategy. Maximum Principle was employed to derive the necessary conditions for the existence of optimal control. Numerical solution of the optimality was derived and computed to investigate the optimum control strategy that would be efficacious to be implemented in reducing the number of exposed and infected individuals.

Activity recognition gained relevance because of its applications in a variety of fields. Despite relevant improvements, classifiers are still inaccurate in several real-world circumstances or require excessively time-consuming training routines. In this paper we show how satellite imagery and common sense knowledge can be used for improving users’ activity recognition performed on a mobile device. More specifically, we made use a personal device providing a list of candidate user activities instead of only the most probable one. Then, from the GPS location of the user, we (i) extract a list of neighboring commercial activities using a reverse geo-coding service and (ii) classify the satellite imagery of the area with state-of-the-art techniques. The proposed approach uses the ConceptNet network for ranking the list of candidate activities using both additional information. Results show an improvement in activity recognition accuracy.