2017
5
2
0
0
GRUNWALDLETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT
2
2
In this article, a mathematical model describing the growth orterminating myelogenous leukemia blood cancer's cells against naive Tcelland eective Tcell population of body, presented by fractional dierentialequations. We use this model to analyze the stability of the dynamics, whichoccur in the local interaction of eectorimmune cell and tumor cells. Wewill also investigate the optimal control of combined chemoimmunotherapy.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.
1

51
57


ESMAIL
HESAMEDDINI
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ UNIVERSITY OF
TECHNOLOGY, P. O. BOX 71555313, SHIRAZ, IRAN
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ
Iran
hesameddini@sutech.ac.ir


MAHIN
AZIZI
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ UNIVERSITY OF
TECHNOLOGY, P. O. BOX 71555313, SHIRAZ, IRAN
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ
Iran
reihane.azizi00@yahoo.com
Fractional dierential equations
Stability
Myelogenous leukemia blood cancer
ENTROPY FOR DTMC SIS EPIDEMIC MODEL
2
2
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.
1

59
67


TAYEBE
WAEZIZADEH
DEPARTMENT OF PURE MATHEMATICS, FACULTY OF MATHEMATICS
AND COMPUTER AND MAHANI MATHEMATICAL RESEARCH CENTER,
SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN
DEPARTMENT OF PURE MATHEMATICS, FACULTY OF
Iran
waezizadeh@uk.ac.ir


F.
FATEHI
DEPARTMENT OF MATHEMATICS, SCHOOL OF MATHEMATICAL AND
PHYSICAL SCIENCES, UNIVERSITY OF SUSSEX, BRIGHTON, UK
DEPARTMENT OF MATHEMATICS, SCHOOL OF MATHEMATICAL
Iran
f.fatehi@sussex.ac.uk
Epidemic Model
Entropy
Markov chain
Stochastic process
SOME ERGODIC PROPERTIES OF HYPER MV {ALGEBRA DYNAMICAL SYSTEMS
2
2
This paper provides a review on major ergodic features of semiindependent hyper MV {algebra dynamical systems. Theorems are presentedto make contribution to calculate the entropy. Particularly, it is proved that thetotal entropy of those semiindependent hyper MV {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the partitions.
1

69
83


MOHAMMAD
EBRAHIMI
SHAHID BAHONAR UNIVERSITY OF KERMAN
SHAHID BAHONAR UNIVERSITY OF KERMAN
Iran
mohamad ebrahimi@uk.ac.ir


ADEL
MEHRPOOYA
SHAHID BAHONAR UNIVERSITY OF KERMAN
SHAHID BAHONAR UNIVERSITY OF KERMAN
Iran
adelmehrpooya@gmail.com
Hyper MV {algebra
Dynamical system
Uncertainty
COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS
2
2
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 selfmap. We pay attention to subsystems and combinations of generalized shifts with counterexamples regarding Devaney, exact Devaney, LiYorke, echaoticity and Pchaoticity.
1

85
97


F.
AYATOLLAH ZADEH SHIRAZI
UNIVERSITY OF TEHRAN
UNIVERSITY OF TEHRAN
Iran
fatemah@khayam.ut.ac.ir


F.
EBRAHINIFAR
UNIVERSITY OF TEHRAN
UNIVERSITY OF TEHRAN
Iran
ebrahimifar64@ut.ac.ir


A.
GHARAGOZLOU
K. N. TOOSI UNIVERSITY OF TECHNOLOGY
K. N. TOOSI UNIVERSITY OF TECHNOLOGY
Iran
arshia.gharagozlou@gmail.com
Devaney chaos
Exact Devaney chaos
Distributional chaos
echaos
Generalized shift
LiYorke chaos
Pchaos
!