GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT
ESMAIL
HESAMEDDINI
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ UNIVERSITY OF
TECHNOLOGY, P. O. BOX 71555-313, SHIRAZ, IRAN
author
MAHIN
AZIZI
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ UNIVERSITY OF
TECHNOLOGY, P. O. BOX 71555-313, SHIRAZ, IRAN
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
5
v.
2
no.
2017
51
57
http://jmmrc.uk.ac.ir/article_1567_8df675cb23ef6decdb2b1b7484bbe575.pdf
dx.doi.org/10.22103/jmmrc.2017.1567
ENTROPY FOR DTMC SIS EPIDEMIC MODEL
TAYEBE
WAEZIZADEH
DEPARTMENT OF PURE MATHEMATICS, FACULTY OF MATHEMATICS
AND COMPUTER AND MAHANI MATHEMATICAL RESEARCH CENTER,
SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN
author
F.
FATEHI
DEPARTMENT OF MATHEMATICS, SCHOOL OF MATHEMATICAL AND
PHYSICAL SCIENCES, UNIVERSITY OF SUSSEX, BRIGHTON, UK
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
5
v.
2
no.
2017
59
67
http://jmmrc.uk.ac.ir/article_1568_095bdd27f6a27dafcb901c3de52662d4.pdf
dx.doi.org/10.22103/jmmrc.2017.1568
SOME ERGODIC PROPERTIES OF HYPER MV {ALGEBRA DYNAMICAL SYSTEMS
MOHAMMAD
EBRAHIMI
SHAHID BAHONAR UNIVERSITY OF KERMAN
author
ADEL
MEHRPOOYA
SHAHID BAHONAR UNIVERSITY OF KERMAN
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
5
v.
2
no.
2017
69
83
http://jmmrc.uk.ac.ir/article_1569_a72372f5409a92942d2aeb68ae1812e4.pdf
dx.doi.org/10.22103/jmmrc.2017.1569
COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS
F.
AYATOLLAH ZADEH SHIRAZI
UNIVERSITY OF TEHRAN
author
F.
EBRAHINIFAR
UNIVERSITY OF TEHRAN
author
A.
GHARAGOZLOU
K. N. TOOSI UNIVERSITY OF TECHNOLOGY
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
5
v.
2
no.
2017
85
97
http://jmmrc.uk.ac.ir/article_1570_e1812d75883dae424035a81a9c79d0f9.pdf
dx.doi.org/10.22103/jmmrc.2017.1570