iosr-Jm   Volume-1 ~ Issue-6

Abstract: In the present paper, we formulate the pulmonary blood flow in Lungs. Keeping in view the nature of pulmonary circulatory system in human body, the viscosity increases in the arterioles due to formation of roulex along axis by red blood cells, as we know the Lungs are remote from heart and proximate to the Asthma. P.N. Pandey and V. Upadhyay have considered the blood flow of two phased, one of which is that of red blood cells and other is Plasma. They have also applied the Herschel Bulkley non-Newtonian Model in bio-fluid mechanical set-up. We have collected a clinical data in case of Asthma for Hematocrit v/s Blood Pressure. The graphical presentation for particular parametric value is much closer to the clinical observation. The overall presentation is in tensorial form and solution technique adapted is analytical as well as numerical. The role of Hematocrit is explicit in the determination of blood pressure in case of pulmonary disease-Asthma.

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[5]. Upadhyay V. and Pandey P.N. A Power Law model of two phase blood flow in arteries remote form the heart, Proc. of thilrd con. of
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Abstract: The main object of this paper is to obtain n-dimensional generalized Weyl fractional operators pertaining to multivariable H -function. Here we get the results by using n-dimensional Laplace and Htransforms. The results of this paper are believed to be new and basic in nature. Some known results have been obtained by giving suitable values to the coefficients and parameters.
Key Words: Multivariable H -function, Weyl fractional operator, H -transform
Mathematics Subject Classification: 33C60, 33C65, 44-99

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Abstract: We have extended the corresponding result of Voronowskaja for Lebesgue integrable function in 𝐿1-norm by our newly defined Generalized Polynomial.................

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Abstract : Formation control is an important behavior for multi-agents system (swarm). This paper addresses the optimal tracking control problem for swarm whose agents are Dubin's car moving together in a specific geometry formation. We study formation control of the swarm model which consists of three agents and one agent has a role as a leader. The agents of swarm are moving to follow the leader path. First, we design the control of the leader with tracking error dynamics. The control of the leader is designed for tracking the desired path. We show that the tracking error of the path of the leader tracing a desired path is sufficiently small. The desired path is obtained using calculus variational method. After that, geometry approach is used to design the control of the other. We show that the positioning and the orientation of each agent can be controlled dependent on the leader. The simulation results show to illustrate of this method at the last section of this paper.
Keywords - Swarm model, Dubin's car system, Tracking error, Calculus Variational, Numerical simulation.

[1] A. Balluchi, A. Bicchi, A. Balestrino, and G. Casalino, Path Tracking Control for Dubin's Cars, : Proceeding of the IEEE International Conference on Robotics and Automation, Volume: 4, pp. 3123-3128, 1998.
[2] D. Wang and G. Xu, Full State Tracking and Internal Dynamics of Nonholonomic Wheeled Mobile Robots, Proceedings of the American Control Conference, pp. 3274-3278, Chicago, Illinois, June 2000.
[3] E. Bicho and S. Monteiro, Formation Control for Multiple Mobile Robots: a Nonlinear Attractor Dynamics Approach, Proceeding of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003), Vol. 2, pp. 2016- 2022, 2003.
[4] E. Lefeber and H. Nijmeijer, Adaptive Tracking Control of Nonholonomic Systems: an example, Proceedings of the 38th Conference on Decision & Control, Phoenix, Arizona USA, December 1999.
[5] E. Panteley, E. Lefeber, A. Loria and H. Nijmeijer, Exponential Tracking Control of a Mobile Car Using a Cascaded Approach, Proceeding of the IFAC Workshop on Motion Control, pp. 221-226, Grenoble France, September 1998.
[6] G. Orlando, E. Frontoni, A. Mancini, and P. Zingaretti, Sliding Mode Control for Vision Based Leader Following, 3rd European Conference on Mobile Robots, Freiburg, Germany, September 19-21 1999.
[7] G.Y. Tang, Y.D. Zhao and Hui Ma, Optimal Output Tracking Control for Bilinear Systems, Transactions of the Institute of Measurement and Control 28, 4, pp. 387-397, 2006.
[8] H.G. Tanner, G.J. Pappas, and V. Kumar, Leader to Formation Stability, IEEE Trans. on Robotics and Automation, Vol. 20 No. 3, June 2004.
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[10] H. Shi, L. Wang and T. Chu, Swarming Behavior of Multi-Agent Systems, J. Control Theory And Applications Vol. 2 No. 4, pp. 313-318, 2004.

Abstract: Spatial Scan Statisticusing SaTScan is used to detect randomness in the cluster. This paper aims to demonstrate some of the properties owned by the spatial scan statistic of Bernoulli model, which exhibit analytically unbiased, have minimum variance and consistent. Simulations using the SaTScan showed that the amount of data give different results on the cluster properties of randomness.Analysis with small data provides a more random cluster, or unfavorable results of the analysis. It is showed that the greater amount of data provide the LLR enlarge; p-value smaller; RR decreases and Smaller biased.
Key words: SpatialScanStatistic, Bernoullimodel,SaTScan, Unbiased, minimumvariance, consistent.

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[3]. Tango, T. A Spatial Scan Statistic with a Restricted Likelihood Ratio.Japanese Journal of Biometrics, Vol. 29, No. 2, 2008, 75 – 95.
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[7]. BadanPusatStatistik (BPS, Central Bureau of Statistic) Indonesia.Basic Poverty Measurement and Diagnostics Course.(BPS Pubs,Jakarta, Indonesia, 2002).
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Abstract : This paper implemented two methods for solving Nonlinear systems of Partial differential equations. These are tanh method, and sine-cosine method. Methods have been successfully tested on Konopelchenko-Dubrovsky, and Dispersive Long Wave systems of equations. The calculations demonstrate the effectiveness and convenience of these two methods for solving nonlinear system of PDEs.
Keywords: Exact Solutions, Konopelchenko-Dubrovsky equations, Nonlinear system PDEs, Sine-cosine method, Tanh method,

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Abstract: The paper considers a marketing decision problem in a periodic review model. The demand distribution is assumed to be exponential, with the meanv demand being a concave increasing function of the level of marketing effort. The optimum ordering policy and the optimum level of marketing are determined so as to minimize the total expected cost over a re-order interval. Optimum decision rules are given for some particular functional forms of the mean demand.

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ABSTRACT : In this paper the terms; a completely prime po-Γ-ideal, c-system,a prime po-Γ-ideal, m-system of a po-𝚪-semigroup are introduced. It is proved that every po- 𝚪-subsemigroup of a po-𝚪-semigroup is a csystem.
It is also proved that a po-𝚪-ideal P of a po-𝚪-semigroup S is completely prime if and only if S\P is either a c-system or empty. It is proved that if P is a po-Γ-ideal of a po-Γ-semigroup S, then the conditions (1) if A, B are po-Γ-ideals of S and AΓB⊆P then either A⊆P or B⊆P, (2) if a, b ∈ S such that aΓS1Γb ⊆ P, then either a ∈ P or b ∈ P, are equivalent. It is proved that every completely prime po-𝚪-ideal of a po-𝚪-semigroup S is a prime po-𝚪-ideal of S. It is also proved that in a commutative po-𝚪-semigroup S, a po-𝚪-ideal P is a prime
po-𝚪-ideal if and only if P is a completely prime po-𝚪-ideal. Further it is proved that a po-𝚪-ideal P of a po-𝚪- semigroup S is a prime po-𝚪-ideal of S if and only if S\P is an m-system or empty. In a globally idempotent po- Γ-semigroup, it is proved that every maximal po- Γ-ideal is a prime po- Γ-ideal. It is also proved that a globally idempotent po-Γ-semigroup having a maximal po-Γ-ideal, contains semisimple elements. The terms completely semiprime po- Γ-ideal,a semiprime po-Γ-ideal, n-system, d-system are introduced. It is proved that (1) every completely semiprime po-Γ-ideal of a po-Γ-semigroup is a semiprime po-Γ-ideal, (2) every completely prime po- Γ-ideal of a po- Γ-semigroup is a completely semiprime po-Γ-ideal. It is also proved that the nonempty intersection of any family of (1) completely prime po-Γ-ideals of a po-Γ-semigroup is a completely semiprime po-Γ-ideal, (2) prime po- Γ-ideals of a po-Γ-semigroup is a semiprime po-Γ-ideal. It is also proved that a po- Γ-ideal Q of a po-Γ-semigroup S is a semiprime iff S\Q is either an n-system or empty. Further it is proved that if N is an n-system in a po-Γ- semigroup S and a ∈ N, then there exists an m-system M of S such that a ∈ M and M ⊆ N. Mathematics Subject Clasification (2010) : 06F05, 06F99, 20M10, 20M99
Keywords : Apo-Γ-semigroup,po-Γ-ideal,primepo-Γ-ideal,acompletelyprimepo-Γ-ideal,a completely semiprime po-Γ-ideal,asemiprimepo-Γ-ideal,po-c-system, po-d-system, po-m-system, po-n-system

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