2017-09-19T23:25:14Z
http://jmmrc.uk.ac.ir/?_action=export&rf=summon&issue=254
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
5
2
GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT
ESMAIL
HESAMEDDINI
MAHIN
AZIZI
In this article, a mathematical model describing the growth orterminating myelogenous leukemia blood cancer's cells against naive T-celland eective T-cell population of body, presented by fractional dierentialequations. We use this model to analyze the stability of the dynamics, whichoccur in the local interaction of eector-immune cell and tumor cells. Wewill also investigate the optimal control of combined chemo-immunotherapy.We claim that our fractional dierential equations model is superior to itsordinary dierential equations counterpart in facilitating understanding of thenatural immune interactions to tumor and of the detrimental side eects whichchemotherapy may have on a patient's immune system.
Fractional dierential equations
Stability
Myelogenous leukemia
blood cancer
2017
02
01
51
57
http://jmmrc.uk.ac.ir/article_1567_8df675cb23ef6decdb2b1b7484bbe575.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
5
2
ENTROPY FOR DTMC SIS EPIDEMIC MODEL
TAYEBE
WAEZIZADEH
F.
FATEHI
In this paper at rst, a history of mathematical models is given.Next, some basic information about random variables, stochastic processesand Markov chains is introduced. As follows, the entropy for a discrete timeMarkov process is mentioned. After that, the entropy for SIS stochastic modelsis computed, and it is proved that an epidemic will be disappeared after a longtime.
Epidemic Model
Entropy
Markov chain
Stochastic process
2017
02
01
59
67
http://jmmrc.uk.ac.ir/article_1568_095bdd27f6a27dafcb901c3de52662d4.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
5
2
SOME ERGODIC PROPERTIES OF HYPER MV {ALGEBRA DYNAMICAL SYSTEMS
MOHAMMAD
EBRAHIMI
ADEL
MEHRPOOYA
This paper provides a review on major ergodic features of semi-independent hyper MV {algebra dynamical systems. Theorems are presentedto make contribution to calculate the entropy. Particularly, it is proved that thetotal entropy of those semi-independent hyper MV {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the partitions.
Hyper MV {algebra
Dynamical system
Uncertainty
2017
02
01
69
83
http://jmmrc.uk.ac.ir/article_1569_a72372f5409a92942d2aeb68ae1812e4.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
5
2
COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS
F.
AYATOLLAH ZADEH SHIRAZI
F.
EBRAHINIFAR
A.
GHARAGOZLOU
In the following text for arbitrary $X$ with at least two elements, nonempty countable set $Gamma$ we make a comparative study on the collection of generalized shift dynamical systems like $(X^Gamma,sigma_varphi)$ where $varphi:GammatoGamma$ is an arbitrary self-map. We pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding Devaney, exact Devaney, Li-Yorke, e-chaoticity and P-chaoticity.
Devaney chaos
Exact Devaney chaos
Distributional chaos
e-chaos
Generalized shift
Li-Yorke chaos
P-chaos
!
2017
02
01
85
97
http://jmmrc.uk.ac.ir/article_1570_e1812d75883dae424035a81a9c79d0f9.pdf