@Article{HESAMEDDINI2017,
author="HESAMEDDINI, ESMAIL
and AZIZI, MAHIN",
title="GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="5",
number="2",
pages="51-57",
abstract="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.",
issn="2251-7952",
doi="10.22103/jmmrc.2017.1567",
url="http://jmmrc.uk.ac.ir/article_1567.html"
}
@Article{WAEZIZADEH2017,
author="WAEZIZADEH, TAYEBE
and FATEHI, F.",
title="ENTROPY FOR DTMC SIS EPIDEMIC MODEL",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="5",
number="2",
pages="59-67",
abstract="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.",
issn="2251-7952",
doi="10.22103/jmmrc.2017.1568",
url="http://jmmrc.uk.ac.ir/article_1568.html"
}
@Article{EBRAHIMI2017,
author="EBRAHIMI, MOHAMMAD
and MEHRPOOYA, ADEL",
title="SOME ERGODIC PROPERTIES OF HYPER MV {ALGEBRA DYNAMICAL SYSTEMS",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="5",
number="2",
pages="69-83",
abstract="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.",
issn="2251-7952",
doi="10.22103/jmmrc.2017.1569",
url="http://jmmrc.uk.ac.ir/article_1569.html"
}
@Article{AYATOLLAHZADEHSHIRAZI2017,
author="AYATOLLAH ZADEH SHIRAZI, F.
and EBRAHINIFAR, F.
and GHARAGOZLOU, A.",
title="COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="5",
number="2",
pages="85-97",
abstract="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 $\varphi:\Gamma\to\Gamma$ 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.",
issn="2251-7952",
doi="10.22103/jmmrc.2017.1570",
url="http://jmmrc.uk.ac.ir/article_1570.html"
}