iosr-Jm   Volume-16 ~ Issue-2 ~ mar – apr 2020

Abstract: Chronic pancreatitis (CP) remain unchanged indefinitely which cause infection in pancreas and will
be never cured or enrich by the change in internal organs, structures and their functions. However data on
chronic pancreatitis are not well defined and so the difficulty in medical diagnosis developed a new research
study for finding the clinical program from acute pancreatitis to chronic pancreatitis. Our research study is
based on acute pancreatitis (AP) that affects the patients under our medical diagnostic model among this
chronic pancreatitis are found to be in men affected patients. This paper we described here is decision making
under risk for triangular fuzzy number in medical diagnostic model. We also analyzed decisions under a state of
risk for the acute pancreatitis patients in which output parameter connected with medical evidences are
known, which will be concluded once their patient experience.

Index Terms:Acute and chronic pancreatitis; Decision under risk; Fuzzy number; Triangular fuzzy
number; Saddle point.

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Abstract: Background: The origin of Nipah virus infection established a drastic change in the environmental status which commonly affected in human activities. We studied and characterized Nipah virus-encephalitis and respiratory illness that have recently emerged to cause severe infection in humans. Also we developed graphical representation for those affecting deadly people with their corresponding symptoms those who are affected with Nipah virus. The investigation under medical diagnostic model and graph theoretic structures smoothen the facts on triangular fuzzy number. But the notion of triangular fuzzy krushkal's algorithm we introduced here connected with Nipah virus diseased patients. Materials and Methods: Next we.......

Key Word: Minimum spanning tree, Triangular fuzzy number, Triangular Fuzzy Krushkal's algorithm, Fuzzy graph Structure, Nipah virus, encephalitis and respiratory illness

[1]. L.A.Zadeh (1965), "fuzzy sets, information and control",8,pp.338-353.
[2]. Narsingh deo(1974), "Graph theory with applications to engineering and computer science" pp.55-70.
[3]. A Fast implementation of minimum spanning tree method and applying it to Kruskal's and prim's algorithm(2017) published by SJCMS.
[4]. Nipah virus infection published by Journal of clinical microbiology(2018)
[5]. Fuzzy graph structures with application published by MDPI (2018)
[6]. Novruz Allahverdi.(2014). Design of fuzzy expert systems and its applications in some medical areas. Published by applied mathematics, electronic and computers.

Abstract: In this paper we study some non-compact operator equations for which the existence and uniqueness of a solution is veri_ed. The convergence of the successive approximations to this unique solution is satis_ed..

Key Word: Fixed point theorems; spectral radius; successive approx-imations, unique solutions, _xed points. 2000 Mathematics Subject Classi_cation: 47H10, 55M20, 54H25.

....

Abstract: In this work, the exact traveling wave solutions to the (2+1)-dimensional Burgers equation are studied using the 𝑒𝑥𝑝 −𝜙 𝜂 −expansion method. The traveling wave solutions are expressed in terms of the exponential
functions, the hyperbolic functions, the trigonometric functions and the rational functions. The extracted solution plays a significant role in numerous types of scientific investigation such as in nonlinear optics, nuclear
physics, magnetic field etc. This method is one of.....

Keywords:𝐸𝑥𝑝 −𝜙 𝜂 −expansion method, the (2+1)-dimensional Burgers equation; traveling wave
solutions, solitary wave solution.

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[3]. Liu, D, 2005. Jacobi elliptic function solutions for two variant Boussinesq equations, Chaos solitons and Fract., 24, 1373-85.
[4]. Chen, Y and Wang, Q, 2005. Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic functions solutions to (1+1)-dimensional dispersive long wave equation, Chaos solitons and Fract., 24, 745-57.
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Abstract: In this paper, we investigate the existence of periodic solutions for the first order neutral functional differential equation. Some new results are established by employing the Schauder fixed-point theorem and Compression
mapping theorem..

Keywords:Functional differential equation; Schauder fixed-point theorem; Compression mapping theorem; Periodic solution

[1]. Y. Luo, W. Wang, J. Shen, Existence of positive periodic solutions for two kinds of neutral functional differential equations, Appl. Math. Leet.21(2008)581-587.
[2]. T. Candan, Existence of positive periodic solutions of first order neutral differential equations with variable coefficients, Appl. Math. Lett. 52(2016)142-148
[3]. Abdelouaheb Ardjouni,Ali Rezaiguia,Ahcene Djoudi. Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with infinite distributed delay. J. Journal of Applied Mathematics and Computing,2015,47(1-2).
[4]. A. Wan, D. Jiang, Existence of positive periodic solutions for functional differential equations, Kyushu J. Math. 56 (2002) 193–202.
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Abstract: In this work, a deterministic Model is developed and investigated for the transmission dynamics of Tuberculosis with exogenous re-infection and incomplete treatment. We analyzed for the formulated model by considering the spread behavior and possible eradication of the disease versus persistence of tuberculosis. Our method includes: boundedness, existence of Equilibrium Points and basic reproduction number 𝑅0 . From our model we obtained the basic reproduction number for determining whether the disease die out or not. The impact of different parameters of this model is studied. A sensitivity study of the model was carried out. A numerical simulation was also carried out to know further how the correct the model was

Keywords:Deterministic Model, Basic reproduction number, Disease free equilibrium (DFE), Endemic equilibrium

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[4]. Derrick, N.R. and Grossman, S. L. (1976): Differential equations with applications, Addison Wesley Publishing Company, Philippines, Inc.
[5]. Feng, U Z., Huang Z. H. and Castillo-chavez C. (2001) On the role of variable latent periods in mathematical models for Tuberculosis, Journals of Dynamics and differential equation 13:425-432

Abstract: The aim of this work is to consider a class of linear discrete-time systems where the dynamics is affected by a structured inevitable disturbance. In order to identify this handicap, we seek to reduce the sensitivity of the system output to the disturbance, parametric unknown but bounded below a threshold Tolerance set before. For this reason, we are interested to propose a control law in closed loop for developing of pole placement technique under the condition of controllability especially we are based on the Ackermann's method. More precisely, it is sought to determine the gain matrix such that the control defined by the output feedback makes it possible to reduce the sensitivity of the output with respect to the disturbance. To illustrate the obtained results using Matlab/Simulink TM, various examples are presented.

Key Word: Discrete-time systems, sensitivity, stability, pole placement controllability, Ackermann's method.

[1]. Libor Peka_r and RadekMatu_s_u. A Suboptimal Shifting Based Zero-pole Placement Method for Systems with Delays International Journal of Control, Automation and Systems volume 16, pages594{608(2018)
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Sciences, 3(9), (2009) 429{442.

Abstract: In this paper, a fuzzy transportation problem is taken in such a way that the transportation cost, demand and supply all are in interval numbers and solved in two stages. In the first stage the interval numbers
are fuzzified into hexagonal numbers. In the second stage by using ranking technique hexagonal numbers are converted into crisp numbers. Then by applying different methods optimum solution is obtained and the results
are compared. This is illustrated by means of numerical examples.

Key Word: Interval numbers, Hexagonal fuzzy numbers, ranking technique.

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[2]. A.Thamaraiselvi and R.Santhi, Optimal Solution of Fuzzy Transportation Problem using Hexagonal Fuzzy Numbers,International Journal of Scientific & Engineering Research, 6(3)(2015), 40-45.
[3]. Althada Ramesh Babu, B. Rama Bhupal Reddy,"An Alternative Solution for a Fuzzy Octagonal Number Transportation Problem,Compliance Engineering Journal,Volume 10, Issue 9, 2019,ISSN NO: 0898-3577.
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[5]. Chanas, S and Kuchta (1996): " A Concept of the optimal solution of the transportation problem with fuzzy cost coefficients", Fuzzy Sets and Systems, 82, 299-305