2016
5
1
0
0
ENTROPY OF GEODESIC FLOWS ON SUBSPACES OF HECKE SURFACE WITH ARITHMETIC CODE
2
2
There are dierent ways to code the geodesic flows on surfaces with negative curvature. Such code spaces give a useful tool to verify the dynamical properties of geodesic flows. Here we consider special subspaces of geodesic flows on Hecke surface whose arithmetic codings varies on a set with innite alphabet. Then we will compare the topological complexity of them by computing their topological entropies.
1

1
7


SANAZ
LAMEI
DEPARTMENT OF MATHEMATICAL SCIENCES, GUILAN UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES, GUILAN
Iran
lamei@guilan.ac.ir
topological entropy
arithmetic coding
Hecke surface
BIFURCATION ANALYSIS OF A DDE MODEL OF THE CORAL REEF
2
2
In this paper, first we discuss a local stability analysis of model was introduced by P. J. Mumby et. al. (2007), with $frac{gM^{2}}{M+T}$ as the functional response term. We conclude that the grazing intensity is the important parameter to control the existence or extinction of the coral reef. Next, we consider this model under the influence of the time delay as the bifurcation parameter. We show that for small time delay, the stability type of the equilibria will not change, however for large enough time delay, the interior equilibrium point become unstable in contrast to the ODE case. Also for some critical grazing intensity and the time delay, a Hopf bifurcation occur and a nontrivial periodic orbit will appear. Further we discuss its corresponding stability switching directions.
1

9
25


HANIYEH
FATTAHPOUR
DEPARTMENT OF MATHEMATICAL SCIENCES, ISFAHAN UNIVERSITY OF
TECHNOLOGY, ISFAHAN, IRAN, 8415683111
DEPARTMENT OF MATHEMATICAL SCIENCES, ISFAHAN
Iran
h.fattahpour@math.iut.ac.ir


HAMID
R. Z. ZANGENEH
DEPARTMENT OF MATHEMATICAL SCIENCES, ISFAHAN UNIVERSITY OF
TECHNOLOGY, ISFAHAN, IRAN, 8415683111
DEPARTMENT OF MATHEMATICAL SCIENCES, ISFAHAN
Iran
hamidz@cc.iut.ac.ir
Ordinary differential equation
Delay differential equation
Stability
Hopf bifurcation
periodic solution
PRECOMPACT TOPOLOGICAL GENERALIZED GROUPS
2
2
In this paper, we introduce and study the notion of precompacttopological generalized groups and some new results are given.
1

27
32


M. R.
AHMADI ZAND
DEPARTMENT OF MATHEMATICS, YAZD UNIVERSITY, YAZD, IRAN
DEPARTMENT OF MATHEMATICS, YAZD UNIVERSITY,
Iran
mahmadi@yazd.ac.ir


S.
ROSTAMI
DEPARTMENT OF MATHEMATICS, YAZD UNIVERSITY, YAZD, IRAN
DEPARTMENT OF MATHEMATICS, YAZD UNIVERSITY,
Iran
salimehrostami66@yahoo.com
Generalized group
precompact topological generalized group
paratopological generalized group
A THREE DIMENSIONAL HTLV1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS
2
2
In this paper, a three dimensional mathematical model for HTLV1infection with intracellular delay and immune activation delay is investigated.By applying the frequency domain approach, we show that time delays candestabilize the HAM/TSP equilibrium, leading to Hopf bifurcations and stable or unstable periodic oscillations. At the end, numerical simulations areillustrated.
1

33
50


ELHAM
SHAMSARA
DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF
MATHEMATICAL SCIENCES, FERDOWSI UNIVERSITY OF MASHHAD
(FUM), MASHHAD, IRAN.
DEPARTMENT OF APPLIED MATHEMATICS, FACULTY
Iran
elham.shamsara@mail.um.ac.ir


ZAHRA
AFSHARNEZHAD
DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF
MATHEMATICAL SCIENCES, FERDOWSI UNIVERSITY OF MASHHAD
(FUM), MASHHAD, IRAN.
DEPARTMENT OF APPLIED MATHEMATICS, FACULTY
Iran
afsharnezhad@math.um.ac.ir


JAMAL
SHAMSARA
PHARMACEUTICAL RESEARCH CENTER, SCHOOL OF PHARMACY,
MASHHAD UNIVERSITY OF MEDICAL SCIENCES, MASHHAD, IRAN.
PHARMACEUTICAL RESEARCH CENTER, SCHOOL OF
Iran
shamsaraj@mums.ac.ir
CTL response
Graphical Hopf bifurcation theorem
Fre quency domain
Delay dierential equation
HTLV1 infection