In this paper we prove the Liouville type theorem for stable at infinity solutions of the following equation\n$$\\Delta_{m}^{3}u =|u|^{\\theta-1}u\\;\\;\\; \\mbox{in}\\,\\, \\mathbb{R}^N,$$\n for $1
The dynamics of disease transmission is still a major problem in mathematical epidemiology. In this work, we study the extinction probability of a stochastic SEIRS-type model for infectious diseases evolving in a random environment. We have determined the reproduction rate Ro and study the stability of the stochastic system based on the continuous Markov chain in a discrete state. A simulation comparison of these two studies was made.
Noise from construction equipment is a common problem where construction work is in progress. The effects of noise pollution have become a serious problem to the workers in construction sector as well as people living in the vicinity. Construction Equipment plays a significant role in modern construction for a speedy pace of construction works. With increase in equipment and machines the noise emission also accelerates to high level in the site. This Paper looks at existing regulations for construction noise control in various countries and compares it with Indian noise regulations. Comparative study indicates that India needs to emphasize on its noise regulations. Recommendations for good practice with respect to noise for Indian construction sector have been discussed.
Artificial immune systems (AIS) have been broadly used in varied fields of technology and science such as data analysis and pattern recognition, also considered machine-learning algorithms which merge several of basics and trial for taking biological immune system merits for utilizing within complicated trouble scopes. One of supervising learning algorithms is the Artificial Immune Recognition System which has achieved important success in wide area of classification troubles In that study, an artificial immune Recognition System (AIRS) will be used as a classification paradigm for breast cancer diagnosis, once dimension reduction has been applied to separate out some of key features for classification objectives.\n AIRS can be adopted a decision-making model in predicting if a new patient will have a benign or malignant tumor. A series of trials are conducted, and the results are very heartening. The proposed model exceeded other models and attaining the highest accuracy in testing.