International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Dynamical Systems and Applications.
1
FRI: 29-12-2017 Hall Sec Poster (02) ( 1 )  
01:15 : 02:45
 
DSA - 1 EG Dr. Ghada gohary ghadayousf22@yahoo.com
 
6
  A decision mathematical model for selection production strategy  
  Prof/ Gamal M. Nawara , Dr/ M. Mansour , Dr/ Ghada M. Abdel Salam  
 
Industrial Engineering Department,Zagazig University, Cairo, Egypt
Industrial Engineering Department,Zagazig University, Cairo, Egypt
Industrial Engineering Department,Zagazig University, Cairo, Egypt
 
  ABSTRACT  
  Developing supply chain strategy plays an essential role to retain competition among companies. This paper investigates the decision about which items to make to stock and which ones to make to order based on a mathematical model minimize the difference between the costs of the two approaches. The production environment is characterized by multiple activities such as purchasing, manufacturing, subassembly, and finished assembly. Through some numerical experiments the effect of different demand quantitates, customer delivery time and capacity limit are identified. The analysis provides an insight into the relationship between the supply chain costing and the strategic decision making.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Dynamical Systems and Applications.
2
FRI: 29-12-2017 Hall[C] Oral - Sec10 ( 4 )  
04:45 : 05:00
 
DSA - 2 EG Dr. Amira Salem amerasalem5@yahoo.com
 
6
  Effects of Slip Velocity and Hall Currents on Peristaltic Transport of Bingham-Papanastasiou Fluid with Heat Transfer  
  Nabil T.M. Eldabe , Hamida M. Shawky , Amira S. Awaad  
 
Mathematics Department, Faculty of Education, Ain-Shams University.
Department of Mathematics, Faculty of Science (Grils), AL- Azhar University.
Department of Mathematics, Faculty of Science (Grils), AL- Azhar University.
 
  ABSTRACT  
  In this work, we investigated the effects of slip boundary condition and Hall currents on peristaltic motion of a non-Newtonian fluid which is obeying Bingham-Papanastasiou model, with heat transfer taking into account the thermal radiation and heat generation, through an asymmetric channel. This phenomena is modeled mathematically by a system of governing equations which are continuity, momentum and heat equations. These equations are solved analytically under low Reynolds number condition and long wavelength approximation. The stream function and temperature distribution are obtained as functions of physical parameters of the problem. The effects of the parameters on these solutions are discussed numerically and illustrated graphically through a set of figures. It is found that the physical parameters played important roles to control the velocity and temperature distribution.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Dynamical Systems and Applications.
3
FRI: 29-12-2017 Hall[C] Oral - Sec10 ( 5 )  
05:00 : 05:15
 
DSA - 3 EG Prof. Elmetwally Elabbasy emelabbasy@mans.edu.eg
 
6
  On the Solutions of a System of Difference Equations  
  Elmetwally M. M. Elabbasy , Hamdy A. El-Metwally  
 
Math. Dept. Faculty of Science, Mansoura University
Math. Dept. Faculty of Science, Mansoura University
 
  ABSTRACT  
  In this paper, we investigate the dynamical behavior of the positive solutions of the following system of difference equations u_{n+1}=((au_{n})/(b+cv_{n-1}^{p})) ,v_{n+1}=((dv_{n})/(e+fw_{n-1}^{q})) ,w_{n+1}=((gw_{n})/(h+Iu_{n-1}^{r})) where the initial conditions u_{-i},v_{-i},w_{-i} (i=0,1,2,3) are non-negative real numbers and the parameters a,b,c,d,e,f,g,h,I,p,q,r, are positive real numbers, by extending some results in the literature.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Dynamical Systems and Applications.
4
FRI: 29-12-2017 Hall[C] Oral - Sec10 ( 6 )  
05:15 : 05:30
 
DSA - 6 KE Mr. Titus Orwa torwa@strathmore.edu
 
6
  Mathematical Model for Hepatocytic-Erythrocytic Dynamics of Malaria  
  Titus Okello Orwa , Rachel Waema Mbogo , Livingstone Luboobi  
 
Strathmore University
Strathmore University
Strathmore University
 
  ABSTRACT  
  Human malaria remains a major killer disease worldwide, with nearly half (3.2 billion) of the world’s population at risk of malaria infection. The infectious protozoan disease is endemic in tropical and subtropical regions, with an estimated 212 million new cases and 429,000 malaria-related deaths in 2015. An in-host mathematical model of malaria that describes the dynamics and interactions of malaria parasites with the host’s liver cells, the red blood cells and macrophages is reformulated. By a theoretical analysis, an in-host basic reproduction number R_0 is derived. The disease free equilibrium is shown to be locally and globally asymptotically stable. Sensitivity analysis reveal that the erythrocyte invasion rate β_r , the average number of merozoites released per bursting infected erythrocyte K and the proportion of merozoites that cause secondary invasions at the blood phase ζ, are the most influential parameters in determining the malaria infection outcomes. Numerical results show that intervention during malaria infection should focus on minimizing the density of and the rates of merozoite invasion on healthy erythrocytes at the blood stage.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Dynamical Systems and Applications.
5
FRI: 29-12-2017 Hall[C] Oral - Sec10 ( 7 )  
05:30 : 05:45
 
DSA - 4 EG Prof. Hamdy El-Metwally eaash69@yahoo.com
 
6
  DYNAMICS OF A NON-AUTONOMOUS DIFFERENCE EQUATION  
  Hamdy A. El-Metwally , Elmetwally M. M. Elabbasy , Amna Eshtiba  
 
Faculty of Science, Mansoura University
Faculty of Science, Mansoura University
Faculty of Education, Tripoli University, Libya
 
  ABSTRACT  
  In this paper we investigate the boundedness, the periodicity character and the global behavior of the positive solutions of the difference equation x_{n+1}=a_{n}+((x_{n}^{p})/(x_{n-1}^{p})), n=0,1,..., where {a_{n}} is a sequence of nonnegative real numbers and the initial conditions x₋₁,x₀ are arbitrary positive real numbers.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Dynamical Systems and Applications.
6
FRI: 29-12-2017 Hall[C] Oral - Sec10 ( 8 )  
05:45 : 06:00
 
DSA - 5 KE Ms. Purity Ngina pngina@strathmore.edu
 
6
  Modelling Optimal control of in-host HIV Dynamics using different control strategies  
  Purity Ngina , Dr. Rachel Waema , Prof. Livingstone S. Luboobi  
 
Strathmore University, Kenya
Strathmore University, Kenya
Strathmore University, Kenya
 
  ABSTRACT  
  HIV is a major cause of deaths especially in Sub-Sahara Africa. In this paper an in-vivo deterministic model of differential equations is presented and analyzed for HIV dynamics. Optimal control theory is applied to investigate the key roles played by the various HIV treatment strategies. In particular, we wish to establish the optimal strategies for controlling the infection using three treatment regimes as the system control variables. We apply the Pontryagin’s maximum principle in characterizing the optimality control, which is then solved numerically by applying the Runge-Kutta forth order scheme. The numerical results indicate that an optimal controlled treatment strategy would ensure significant reduction in viral load and also in HIV transmission. It is also evident from the results that protease inhibitor plays a key role in virus suppression; this is not to underscore the benefits accrued when all the three drugs regimes are used in combinations.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
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