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Application of Fuzzy Data Fusion in Storage Environment Security Monitoring
Issue:
Volume 4, Issue 5, October 2016
Pages:
197-203
Received:
16 July 2016
Accepted:
29 July 2016
Published:
17 August 2016
Abstract: In this paper, fuzzy set theory and multi-sensor data fusion technology are combined and applied in the safety monitoring of the storage environment, this paper establishes the sensor information fusion model and colligate incomplete information collected by multiple sensors, and eliminating the possible redundant and contradictory information among the multi sensor. After the analysis and process of the two level fusion model, the accurate estimation of the safe condition of the storage environment can be obtained. Finally, the method, which can effectively improve the reliability of the safe condition of the storage environment, is verified by an example.
Abstract: In this paper, fuzzy set theory and multi-sensor data fusion technology are combined and applied in the safety monitoring of the storage environment, this paper establishes the sensor information fusion model and colligate incomplete information collected by multiple sensors, and eliminating the possible redundant and contradictory information amon...
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Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle
Ndondo Mboma Apollinaire,
Walo Omana Rebecca,
Maurice Yengo Vala-ki-sisa
Issue:
Volume 4, Issue 5, October 2016
Pages:
204-216
Received:
5 July 2016
Accepted:
18 July 2016
Published:
31 August 2016
Abstract: Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the outcome is always fatal. The parasite is transmitted to humans or animals through the bite of a tsetse fly previously infected by humans or animals carrying the parasite. We look for different scenarios to control the epidemic by integrating in our model terms that model the different control techniques.
Abstract: Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the o...
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The Solution of Porous Medium Equation by Aboodh Homotopy Perturbation Method
Mohand M. Abdelrahim Mahgoub,
Abdelilah K. Hassan Sedeeg
Issue:
Volume 4, Issue 5, October 2016
Pages:
217-221
Received:
26 August 2016
Accepted:
3 September 2016
Published:
9 October 2016
Abstract: In this paper, the homotopy perturbation method (HPM) and Aboodh transform are employed to obtain analytical solution of the porous medium equation. The proposed method (ATHPM) is an elegant combination of the new integral transform “Aboodh Transform” and the homotopy perturbation method. The porous medium equations have importance in engineering and sciences and constitute a good model for many systems in various fields. The results tell us that the proposed method is more efficient and easier to handle when is compared with existing other methods in such partial differential equations.
Abstract: In this paper, the homotopy perturbation method (HPM) and Aboodh transform are employed to obtain analytical solution of the porous medium equation. The proposed method (ATHPM) is an elegant combination of the new integral transform “Aboodh Transform” and the homotopy perturbation method. The porous medium equations have importance in engineering a...
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Epidemic Model of HIV/AIDS Transmission Dynamics with Different Latent Stages Based on Treatment
Ram Singh,
Shoket Ali,
Madhu Jain,
Rakhee
Issue:
Volume 4, Issue 5, October 2016
Pages:
222-234
Received:
30 August 2016
Accepted:
23 September 2016
Published:
14 October 2016
Abstract: The mathematical model for analyzing the transmission dynamics of HIV/AIDS epidemic with treatment is studied by considering the three latent compartments for slow, medium and fast progresses of developing the AIDS. By constructing the system of differential equations for the different population groups namely susceptible, three types of latent individuals, symptomatic stage group and full blown AIDS individuals, the mathematical analysis is carried out in order to understand the dynamics of disease spread. By determining the basic reproduction number (R0), the model examines the two equilibrium points (i) the disease free equilibrium and (ii) the endemic equilibrium. It is established that if R0 <1, the disease free equilibrium is locally and globally asymptotically stable. The stability of endemic equilibrium has also been discussed.
Abstract: The mathematical model for analyzing the transmission dynamics of HIV/AIDS epidemic with treatment is studied by considering the three latent compartments for slow, medium and fast progresses of developing the AIDS. By constructing the system of differential equations for the different population groups namely susceptible, three types of latent ind...
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Mathematical Modeling of the Spread of HIV/AIDS by Markov Chain Process
Issue:
Volume 4, Issue 5, October 2016
Pages:
235-246
Received:
6 September 2016
Accepted:
23 September 2016
Published:
15 October 2016
Abstract: The spread of the Human Immunodeficiency Virus (HIV) and the resulting Acquired Immune Deficiency syndrome (AIDS) is a major health concern. Mathematical models are therefore commonly applied to understand the spread of the HIV epidemic. In this study, HIV dynamics is analyzed using a Stochastic Discrete-Time Markov Chain Mathematical Model. Demographic and epidemiological parameters that affect the model population dynamics were investigated. Well posedness of the model determined and the conditions for the existence and stability of disease-free and endemic equilibrium points proved, using the next generation matrix technique. The effect of various intervention strategies, were simulated by varying the parameters representing the possible strategies and comparing the respective values of the reproductive ratio R_0. The numerical simulation results using intervention transition matrix showed that vertical transmission is the most sensitive parameter standing at 0.6 followed by the use of HAART at 0.4. This indicates the strategy which requires much effort to avert progression of infected individual to AIDS.
Abstract: The spread of the Human Immunodeficiency Virus (HIV) and the resulting Acquired Immune Deficiency syndrome (AIDS) is a major health concern. Mathematical models are therefore commonly applied to understand the spread of the HIV epidemic. In this study, HIV dynamics is analyzed using a Stochastic Discrete-Time Markov Chain Mathematical Model. Demogr...
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Homotopy Perturbation Transform Method for Solving Third Order Korteweg-DeVries (KDV) Equation
Abdelilah Kamal Hassan Sedeeg
Issue:
Volume 4, Issue 5, October 2016
Pages:
247-251
Received:
4 September 2016
Accepted:
26 September 2016
Published:
18 October 2016
Abstract: In this paper, we develop a method to calculate approximate solution of some Third-order Korteweg-de Vries equations with initial condition with the help of a new method called Aboodh transform homotopy perturbation method (ETHPM). This method is a combination of the new integral transform “Aboodh transform” and the homotopy perturbation method. The nonlinear term can be easily handled by homotopy perturbation method. The results reveal that the combination of Aboodh transform and homotopy perturbation method is quite capable, practically well appropriate for use in such problems and can be applied to other nonlinear problems. This method is seen as a better alternative method to some existing techniques for such realistic problems.
Abstract: In this paper, we develop a method to calculate approximate solution of some Third-order Korteweg-de Vries equations with initial condition with the help of a new method called Aboodh transform homotopy perturbation method (ETHPM). This method is a combination of the new integral transform “Aboodh transform” and the homotopy perturbation method. Th...
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Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology
Wesley Koech,
Titus Rotich,
Fredrick Nyamwala,
Samwel Rotich
Issue:
Volume 4, Issue 5, October 2016
Pages:
252-257
Received:
16 September 2016
Accepted:
2 October 2016
Published:
27 October 2016
Abstract: Mathematical models and their parameters are essential when designing controllers because they allow the designer to predict the closed loop behavior of the system. An accurate method for estimating the DC Motor-Gear-Alternator (MGA) system parameters is needed before constructing the reliable model. This paper proposed a new method of parameter estimation using Matlab/Simulink parameter estimation tool via Step Response Methodology. Optimization algorithms including the nonlinear least square, Gradient Descent, Simplex Search and Pattern Search are discussed. Simulink Design Optimization automatically estimated parameters of the MGA model from measured input-output data.
Abstract: Mathematical models and their parameters are essential when designing controllers because they allow the designer to predict the closed loop behavior of the system. An accurate method for estimating the DC Motor-Gear-Alternator (MGA) system parameters is needed before constructing the reliable model. This paper proposed a new method of parameter es...
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