dc.contributor.author |
Senol Kartal |
|
dc.contributor.author |
Fuat Gurcan |
|
dc.date.accessioned |
2021-06-01T12:12:36Z |
|
dc.date.available |
2021-06-01T12:12:36Z |
|
dc.date.issued |
2014 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.11787/1960 |
|
dc.description.abstract |
The present study deals with the analysis of a Lotka-Volterra model describing competition between tumor
and immune cells. The model consists of differential equations with piecewise constant arguments and
based on metamodel constructed by Stepanova. Using the method of reduction to discrete equations, it is
obtained a system of difference equations from the system of differential equations. In order to get local
and global stability conditions of the positive equilibrium point of the system, we use Schur-Cohn criterion
and Lyapunov function that is constructed. Moreover, it is shown that periodic solutions occur as a
consequence of Neimark-Sacker bifurcation. |
tr_TR |
dc.language.iso |
eng |
tr_TR |
dc.rights |
info:eu-repo/semantics/openAccess |
tr_TR |
dc.subject |
Piecewise constant arguments |
tr_TR |
dc.subject |
Difference equation |
tr_TR |
dc.subject |
Stability |
tr_TR |
dc.subject |
Bifurcation |
tr_TR |
dc.title |
Discretization of a mathematical model for tumor-ımmune system ınteraction with piecewise constant arguments |
tr_TR |
dc.type |
article |
tr_TR |
dc.relation.journal |
Applied Mathematics and Sciences: An International Journal |
tr_TR |
dc.contributor.department |
Nevşehir Hacı Bektaş Veli Üniversitesi/eğitim fakültesi/matematik ve fen bilimleri eğitimi bölümü/matematik eğitimi anabilim dalı |
tr_TR |
dc.contributor.authorID |
48727 |
tr_TR |
dc.identifier.issue |
1 |
tr_TR |
dc.identifier.startpage |
57 |
tr_TR |
dc.identifier.endpage |
65 |
tr_TR |