Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
5
2
2016
05
21
A fresh view on the interaction of growth rates and diffusion coefficients of cancer tumor models
1
23
FA
Khosro
Sayevand
Faculty member
ksayehvand@iust.ac.ir
Kazem
Pichaghchi
گروه ریاضی، دانشگاه ملایر
kazem.pichaghchi@malayeru.ac.ir
10.22055/jamm.2016.12026
In this paper, the growth of cancer tumor cells as a prototype problems in real life will be discussed. Several different cases of the net killing rate are taken into consideration. These patterns are including the cases where net killing rate of the cancer cells are dependent on the concentration of the cells. Our proposed approach which is introduced for these observation is based on a modification of fractional Laplace iterative transformations scheme. The fractional derivative is in the local fractional sense. The obtained results enables us to give some recommendations on the effects of modeling of the cancer tumor.
ِCancer Tumor,Mittag-Leffler function,Laplace transformation,Local fractional derivative,iterative method
https://jamm.scu.ac.ir/article_12026.html
https://jamm.scu.ac.ir/article_12026_2e8e34e0b11e81e2a2bcf661a4242947.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
5
2
2016
05
21
Computing the pareto frontier of a linear Multiobjective bi-level model
25
45
FA
Abbas
Mehrabani
گروه ریاضی، دانشگاه شهید چمران اهواز
abbasmehr795@gmail.com
Habibe
Sadeghi
گروه ریاضی، دانشگاه شهید چمران اهواز
habibe.sadeghi@scu.ac.ir
10.22055/jamm.2016.12027
Bilevel programming is the model for hierarchical optimization problems in which there are two decision makers that have different objective functions, variables and constraints. Alves et al in[1], proposed a method for computing the Pareto frontier of bilevel linear problem with biobjective at the upper level and a single objective function at the lower level. In this paper, we extend their method for the situation in which there exists more than two objective function at both levels, and then by using a suitable exchange variable, we proposed a new method for computing the Pareto frontier of bilevel linear problem with fractional multi-objective at the upper level. Finally we will show the efficiency of the propsed approaches by solving a few numerical examples and comparing the results with other methods.
Bilevel programming,Multi objective programming,Pareto frontier,mixed- integer programming,Fractional programming
https://jamm.scu.ac.ir/article_12027.html
https://jamm.scu.ac.ir/article_12027_d790b891c2f90d0b765ce4047a58f534.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
5
2
2016
05
21
A new formulation for extrapolation of seismic wave field response and its derivatives
47
58
FA
Farzad
Moradpouri
دانشگاه صنعتی شاهرود
f.moradpouri@gmail.com
Ali
Moradzadeh
استاد دانشکده مهندسی معدن، پردیس دانشکده های فنی، دانشگاه تهران،
(استاد همکار دانشکده مهندسی معدن، نفت و ژئوفیزیک، دانشگاه شاهرود)
a_moradzadeh@ut.ac.ir
Reynam Cruz
Pestana
دانشیار دانشکده فیزیک، گروه ژئوفیزیک و زمین شناسی، دانشگاه فدرال باهیا، برزیل
f.moradpouri@shahroodut.ac.ir
Mehrdad
Soleimani Monfared
استادیار دانشکده مهندسی معدن، نفت و ژئوفیزیک، دانشگاه صنعتی شاهرود
msoleimani@shahroodut.ac.ir
10.22055/jamm.2016.12028
The aim of this study is to present a new symplectic integrator for the case of spatially varying velocity based on Leapfrog (L) and Rapid Expansion Methods (REM). First of all, approximation of the wave field at each time step has been considered using rapid expansion method. Then the wave equation is rewrite as Hamiltonian system. It can provide an accurate solution for the acoustic wave equation to simulate the wave field response at each time. After that, for much more accurate and stable solution to extrapolate the wave field and its derivative, a new formulation based on leapfrog and rapid expansion methods has been presented. The obtained results of simple model indicate that this new formulation provides a very high level of accuracy and stability for estimation of wave field response and its derivatives.
Seismic wave field,finite deference method (FDM),Leapfrog method,Rapid Expansion Method,Integrated L-REM
https://jamm.scu.ac.ir/article_12028.html
https://jamm.scu.ac.ir/article_12028_a87f2cf8152e2f9933d1656d025b03c0.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
5
2
2016
05
21
Make Improvements and Optimal Allocation of Budget in Order to Increase safety of The Shiraz-Abadeh Road
59
72
FA
علیرضا
فخارزاده جهرمی
دانشگاه صنعتی شیراز
a_fakharzadeh@sutech.ac.ir
سمیه
محمودی
دانشگاه صنعتی شیراز
somayeh.mahmoodi62@yahoo.com
10.22055/jamm.2016.12029
Regarding the importance of difficulties that made by accidents in the transportation between the cities, this paper presents a way for optimal budget allocation to improve disaster points of the Shiraz-Abadeh road for increasing its traffic safety. For this aim, two possible kinds of improvements (continuous and discrete) are considered and the problem is modeled as a mixed integer programming with continues and binary variables in which its aim is to obtain the optimal allocation and maximizes the reducing rate of accidents. Regarding the difficulties caused by high dimensionality of the problem, we present a new solution method based on the bender decomposition technique to illustrate the optimal allocation. First, the original problem is split into two smaller problems. Then, in an iterative procedure, in each iteration a new constraint is introduced and added to the problem. Thus, in each step, the current solution comes nearer to the optimal one; based on the existed theorem, after a finite number of iterations, the algorithm converges to the optimal solution
Budget allocation,improvement,Mixed integer linear programming,Bender decomposition,Bender cut
https://jamm.scu.ac.ir/article_12029.html
https://jamm.scu.ac.ir/article_12029_0c0ceee3aa255fed3e58acf9e8f90e81.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
5
2
2016
05
21
Preliminary Test Estimation in Two-parameter Exponential Model
Under Progressively Type-II Censoring
73
89
FA
Akbar
Asgharzadeh
0000-0001-6714-4533
گروه آمار، دانشگاه مازندران
a.asgharzadeh@umz.ac.ir
Mohammad
Sharifi
گروه آمار، دانشگاه مازندران
m.sharify1988@gmail.com
10.22055/jamm.2016.12030
In this paper, the preliminary test estimators for the location and scale parameters of the two-parameter <br />exponential model are presented based on progressively Type II censored samples. The biases and mean squared <br />errors of the proposed estimators are given. It is shown that the proposed estimators dominate the corresponding <br />classical estimators in the neighborhood of null hypothesis. We also provide the range of the parameters for which <br />the proposed estimators dominate the corresponding classical estimators for different sample sizes and level of <br />significance. Finally, a numerical example is given to illustrate the results.
Two-Parameter Exponential Model,Preliminary Test ٍٍEstimation,Progressively
Type-II Censoring,Relative Efficiency
https://jamm.scu.ac.ir/article_12030.html
https://jamm.scu.ac.ir/article_12030_1fbf3feff4819ab8815f860decf11990.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
5
2
2016
05
21
Presenting a mathematical model and investigating effects of contaminated needle sharing on prevalence of HIV/AIDS disease
91
108
FA
Afshin
Babaei
گروه ریاضی، دانشگاه مازندران
babaei@umz.ac.ir
Hossein
Jafari
0000-0001-6807-6675
گروه ریاضی، دانشگاه مازندران
jafari@umz.ac.ir
Masumeh
Ahmadi
گروه ریاضی، دانشگاه مازندران
ma.ahmadi68@yahoo.com
10.22055/jamm.2016.12031
In this paper, a mathematical model for studying HIV/AIDS dynamics is presented. Based on this model, the effects of contaminated needle sharing in addicted population on spread of HIV/AIDS is investigated. For this purpose, first, the effective reproduction number is obtained by using the next generation operator method. Then, the reproduction number is examined in two cases, one with sharing needles and the other one with not sharing needles. The optimal control problem is formulated by applying some controls on the disease model including use of non-shared and sterile needles, use of prevention methods, screening of unaware infectives and treating patients. Necessary conditions for optimal control is determined by using Pontryagin’s minimum principle. Finally, numerical results is obtained by the Runge–Kutta fourth-order method. The results show a significant difference in control of prevalence of disease between the cases applying and not applying control on the disease.
HIV/AIDS disease,Mathematical model,Reproduction number,optimal control,Next generation matrix
https://jamm.scu.ac.ir/article_12031.html
https://jamm.scu.ac.ir/article_12031_41fb8de07e096423d04d8d441a018d4d.pdf