On certain new exact solutions of a diffusive predator-prey system

We construct exact solutions for a system of two nonlinear partial differential equations describing the spatio-temporal dynamics of a predator-prey system where the prey per capita growth rate is subject to the Allee effect. Using the $\big(\frac{G'}{G}\big)$ expansion method, we derive exact solutions to this model for two different wave speeds. For each wave velocity we report three different forms of solutions. We also discuss the biological relevance of the solutions obtained.Comment: Accepted for Publication in Commun. Nonlin. Sci. Num. Sim. (2012

On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients

We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schr\"{o}dinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions.Comment: Accepted for publication in The European Physical Journal

Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates

We construct rogue wave and breather solutions of a quasi-two-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap. We show that the trapping potential and an arbitrary functional parameter that present in the similarity transformation should satisfy a constraint for the considered equation to be integrable and yield the desired solutions. We consider two different forms of functional parameters and investigate how the density of the rogue wave and breather profiles vary with respect to these functional parameters. We also construct vector localized solutions of a two coupled quasi-two-dimensional Bose-Einstein condensate system. We then investigate how the vector localized density profiles modify in the constant density background with respect to the functional parameters. Our results may help to manipulate matter rogue waves experimentally in the two-dimensional Bose-Einstein condensate systems.Comment: 16 pages, Published in Eur. Phys. J.

A Clinico Pathological study of Neck Swellings Excluding Thyroid

“A clinic – pathological study of neck swelling excluding thyroid” is a prospective study of 100 cases. The study was conducted with an objective to know the various etiological factors and clinical factors and clinical presentation of the neck swelling and also to correlate the clinical diagnosis with FNAC and histopathological reports. METHODS: The study was conducted in J.S.S. Hospital Mysore during study period i.e. from August 2005 to 2007. 100 patients with neck swellings exclusion criteria were included in this study. After a detail history and clinical examination of neck swellings, patient were subjected for FNAC to confirm the diagnosis. Biopsy of the lymph node was performed when FNAC either negative or doubtful to confirm the diagnosis by histoathological examination. The Age/Sex distribution, clinical presentation, the investigations, the treatment modalities, complications were all evaluated and compared with standard literature. RESULTS: A total 100 patients were enlisted in this study, tubercular cervical lymphadenitis accounted for 55%. Maximum distribution was observed in the age group of 1-20 year (41.8%) followed by 21-04(36.3%), with the age range being 1-80 years. Among them 21 were male patients and 32 females with the female to male ratio being 1.5:1.48 patients (87.3%) belonged to the lower socio economic group. The commonest group of lymph node region involved was the upper deep jugular group accounting for 70.9% followed by posterior triangle lymphnode region accounting for 18.2%. ESR was found to be elevated in all the patients. Sputum AEB was positive in 14 patients (25.5%). Chest x-ray of 25 patients (45.5%) showed evidence of pulmonary Koch’s FNAC was positive in 42 patient out of 46 patients, accuracy was 92%. FNAC was inconclusive in 4 patients and were subjected for lymphnode biopsy. Total of 13 patients underwent lymphnode biopsy. All patients received short course of chemotherapy with follow up at monthly interval. In our study, metastatsis in the cervical lymphnodes was the second commonest etiological factor among neck swellings, observed in 13 patient (13%). 11 were diagnosed as having sq cell ca and 2 as adeno ca. metastatic work up revealed the primary site for sq cell ca as tonsilar fossa, posterior pharynx, larynx accounting for 63.6%, 27.3% and 9.1% respectively. Out of 13 patients 11 were male and 2 females. All patients were subjected for FNAC with diagnostic accuracy of 100% 4 patients underwent FND. Out of these 4 patients, 2 patients were referred to higher centre for further management (chemo radiation) during follow up period. Two other patients didn’t turned for follow up. 16 patients were diagnosed as having lymphadenitis. FNAC showed evidence of acute lymphadenitis in 7 patients and chronic nonspecific lymphadenitis in 7 patients. In 2 patients FNAC was inconclusive, who were subjected for biopsy. HPE of these patients revealed chornic non specific lymphandenitis. 6 cases were diagnosed as having lymphoma with the maximum occurrence observed in the age group of 41-60 years. The usual presentation was painless cervical lymphdenopathy. Other neck swellings observed in our study were cystic hygroma in 4 patients, branchial cyst in 2 patients, and lipoma in 4 patients. CONSLUSION In our study TB lymphadenitis was the commonest cause for the neck swellings. Most of the cases studies were belonged to the low socioeconomic class. All the patients with tuberculosis did not show much constitutional symptoms, but few, patients presented with fever, cough, loss of weight, loss of appetite. Tuberculosis most commonly affects the upper deep cervical lymphnodes. The sex ratio in TB lymphadenitis was M : F (1:1.5) showing that female predominance. Radiologically majority of the patients usually did not show the evidence of pulmonary Kochs. All patients of TB lymphadenitis showed good response to 6 months chemotherapy, surgery was rarely required. FNAC & histopathological examination were the main tools in diagnosis of the neck swellings. Surgery played a role in other benign neck swellings like branchail cyst, cystic hygroma and lipoma

A Stochastic Recoupment Model for the Increase of Oxytocin Due To Human Stress

The theoretical study for the effect of stress induced by the psychosomatic drug cocaine on the Oxytocin levels is investigated.  Using a stochastic recoupment model, the expected number of failures and failure intensity function of Oxytocin has been obtained in the high responders (HR) and low responders (LR) to novelty.  The results show that high responders displayed a higher increasing level of Oxytocin than low responders. Keywords: Stochastic Recoupment Model, Failure intensity, Oxytocin, High responders, Low responders. 2010 Mathematics Subject Classification: 97Mxx, 93A30, 60-X

Effect of salt stress on growth, carbohydrate and proline content of two finger millet varieties

Growth, sugar, reducing sugar, non-reducing sugar were decreased, while starch and proline content increase in two finger millet varieties GPU-28 and Intaf-5 under salinity stress. However, Intaf-5 maintained higher contents of carbohydrates as well as proline during the adverse effect of salinity stress, which leads better growth

Nachinarkiniyar's Vedic Norm and Tolkappiar Interpretation

Nachinarkinyar is the most prolific literary scholar known in the Tamil world. She has written not only for literary works such as Sivakachinthamani, Kalitthokai, and Pathuppaattu but also for all three chapters of the Grammar of Tolkappiyam. Many have discussed the mention of Vedic traditions in the special preface of the Tolkappiyam. The Vedic tradition is based on the idea that the Vedas are the source of all things. Nachinarkinyar has reemphasized the mythologizing ideas that she started in the special preface, reiterating them in many parts of the ‘Poruladhikaram, a section that includes nine subject matters. In particular, the Veda Vidhi, the twofold view of the four Vedas, the connection of the texts with the Vedic texts by means of textual techniques, the reference of the Vedic texts and the texts born out of them to the learner, the reference of the Brahmins and the Brahmins as superiors, the integration of their traditions with the Tolkappiya texts, and the integration of the four Varnas and their traditions with the Vedic ethics

Survey on Analysis of Meteorological Condition Based on Data Mining Techniques

An application of data mining is a rich focus to Classification algorithm, Association algorithm, Clustering algorithm which can be applied to the field of various resources it concerns with developing methods that discover the knowledge from data origination. In this paper, focuses on meteorological data analysis in form of data mining is concerned to predict the knowledge of weather condition. Rainfall analysis, temperature analysis, based on climatic condition, cyclone form data analysis is vital application role for meteorological analysis in data mining techniques. Prediction, association and forecasting are the several method in data mining used for meteorological analysis. Many countries have already experienced deadly droughts and floods also climate-induced natural disasters have displaced hundreds of thousands of people across the world. Mainly due to over ambitious strategies and actions of human beings on the eco-system, data mining play a significant role in determining the climate trends in crucial manner. In this research work is discussing the application of different data mining techniques applied in several ways to predict or to associate or to classify or to cluster the pattern of meteorological data. It can be provided for future direction for research