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Volume-1 Issue-5, April 2015, ISSN: 2394-367X (Online)
Published By: Blue Eyes Intelligence Engineering & Sciences Publication Pvt. Ltd. 

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Harjot Singh, Saminder Talwar, Harkaran Singh

Paper Title:

Stability Analysis of Discrete-Time Prey-Predator Model with Harvesting Activity and Allee Effect

Abstract: In this paper, the stability analysis of discrete-time Prey-Predator model with harvesting activity in presence and absence of Allee effect on prey population has been carried out. Forward Euler method is applied to the continuous model to obtain the discrete-time model. We discussed the stability criterion of the discrete-time model at the fixed points. Numerical simulations have been carried out to show the dynamical behavior of the model.

Harvesting activity, Forward Euler method, Critical points, Allee effect. Mathematics Subject Classification 2000: 97M60.


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3.       J. Dhar, A prey-predator model with diffusion and a supplementary resource for the prey in a two-patch environment, Math. Model. and Anal., 9 (2004), 9-24.

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15.     X. Liu, D. Xiao, Complex dynamic behavior of a discrete-time predator-prey system, Chaos, Sol. and Frac. 32(2007), 80-94.






Majli Nema Hawas, Baker K. Al Rekaby

Paper Title:

Analog Implementation and Realization of Artificial Neural Network Using Electronic Devices

Abstract: This paper introduces the implementation and realization of Artificial Neural Network (ANN) application in control systems such as real time speed control of permanent magnet DC motor. Two methods of ANN technique has been used, first a multi-layer feed forward neural network, second nonlinear auto regressive moving average based neural network (NARMA-L2) in order to overcome the problems associated with conventional control methods such as PI (Proportional-Integral).The two controller have been train offline and run online in real time using MATLAB software environment and data acquisition card as interface between a personal computer and the system.

 ANN; NARMA-L2; PMDC motor; Real time control system.


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3.       M. I. Amit Atri, "Speed Control of DC Motor using Neural Network Configuration," International Journal of Advanced Research in Computer Science and Software Engineering, vol. Volume 2, no. Issue 5,, p. 4, 2012.

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5.       F. C. a. S. Darenfed, "Neural Network NARMA Control of a Gyroscopic," The National Sciences and Engineering Research Council of Canada, canada, 2008.

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9.       B. K. Vikas Kumawat, "PID Controller of Speed and Torque of ServoMotor Using MATLAB," vol. 9, no. 1, p. 3, 2013.

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12.     "http://www.mathworks.com," mathworks, [Online]. Available: http://www.mathworks.com/help/nnet/ug/design-narma-l2-neural-controller. [Accessed 22 2 2015].

13.     S. H.HUSAIN, "Real Time Implementation of NARMA-L2 Control of a Single Link Manipulator," American Journal of Applied Sciences 5 (12): 1642-1649, 2008, Vols. Volume-2, no. Issue-1, p. 7, 2008.






Domingo, Augustine ‘Dele

Paper Title:

Numerical Solutions of Fredholm Integral Equations using Collocation-Tau Method

Abstract: Many problems arising in mathematics and in particular, applied mathematics or mathematical physics can be formulated in two but related ways, namely as differential or integral equation. Not all of such equations can be solved analytically; hence, numerical techniques are desirable. A tau collocation approach that combines the tau method with the idea of collocation for the solution of integral equations of Fredholm type is considered herein. The scope of the Lanczoz-Tau method is thus extended so that integral equations can also be solved numerically with the tau process. This work is supported with numerical evidences which show that the desired solution is accurately estimated by the resulting Tau approximant.

Collocation-Tau method, Fredholm Integral equations, Chebyshev polynomials, Linear Ordinary Differential equations.


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