MARC details
| 000 -LEADER |
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| fixed length control field |
03575nam a2200397 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
TR-AnTOB |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230908000941.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
ta |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
171111s2018 xxu e mmmm 00| 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
TR-AnTOB |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
TR-AnTOB |
| 041 0# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
Türkçe |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) |
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| Classification number |
TEZ TOBB FBE MAT YL’18 BAY |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Baydemir, Pınar |
| 9 (RLIN) |
123731 |
| 245 10 - TITLE STATEMENT |
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| Title |
Leslie tipi bir ayrık av-avcı popülasyon modelinin kararlılık ve neimark-sacker çatallanma analizi / |
| Statement of responsibility, etc. |
Pınar Aydemir. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Ankara : |
| Name of producer, publisher, distributor, manufacturer |
TOBB ETÜ Fen Bilimleri Enstitüsü, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2018. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xi, 72 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
29 cm |
| 336 ## - CONTENT TYPE |
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| Source |
rdacontent |
| Content type code |
txt |
| Content type term |
text |
| 337 ## - MEDIA TYPE |
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| Source |
rdamedia |
| Media type code |
n |
| Media type term |
unmediated |
| 338 ## - CARRIER TYPE |
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| Source |
rdacarrier |
| Carrier type code |
nc |
| Carrier type term |
volume |
| 502 ## - DISSERTATION NOTE |
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| Dissertation note |
Tez (Yüksek Lisans)--TOBB ETÜ Fen Bilimleri Enstitüsü Aralık 2018 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Bu tezde, Leslie tipi bir ayrık av-avcı popülasyon modelinin dinamik yapısı analiz<br/>edilmi¸stir. Bu model diferensiyel denklem sistemi ile tanımlanan av-avcı popülasyon<br/>modelinden Euler metodu kullanılarak elde edilmi¸stir. Analiz edilen model aynı<br/>çevreyi payla¸san ve birbirleriyle etkile¸sim içinde bulunan iki popülasyonu<br/>içermektedir. Lineer olmayan dinamik sistemler yakla¸sımıyla modellenen bu<br/>popülasyonların zamana göre de˘gi¸simi fark denklemleri ile ifade edilmi¸stir. ˙Ilk olarak<br/>ayrık av-avcı modelinin pozitif denge noktasının varlı˘gı ve tekli˘gi gösterilmi¸stir.<br/>Ardından bu pozitif denge noktasının kararlı olabilmesi ve bu denge noktasında Flip<br/>çatallanma ve Neimark-Sacker çatallanmanın görülebilmesi için gerekli ko¸sullar<br/>belirlenmi¸stir. Daha sonra Merkez Manifold Teoremi ve Çatallanma Teorisi<br/>kullanılarak bu ko¸sulların sa˘glandı˘gı teorik olarak ispatlanmı¸stır. Elde edilen bu<br/>analitik çalı¸smaları desteklemek amacıyla bazı parametre de˘gerleri belirlenmi¸stir. Son<br/>olarak, bu parametre de˘gerleri için sistemin faz portreleri ve çatallanma diyagramı<br/>elde edilmi¸stir. |
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| Summary, etc. |
In this thesis, the dynamical behaviour of a discrete-time predator-prey model of<br/>Leslie type is presented. This model is obtained from continuous-time predator-prey<br/>model by using Euler method. The model has two populations which are prey and<br/>predator living in the same environment and interacting with each other. In this model<br/>the change of populations, modeled by approximation of nonlinear dynamical<br/>systems, with respect to time is governed by difference equations. First, the existence<br/>of the positive equilibrium point of the discrete system is shown and the conditions<br/>for the stability are found. Then, the conditions of existence for Flip bifurcation and<br/>Neimark-Sacker bifurcation arising from this positive equilibrium point are<br/>determined. More specifically, these bifurcations are driven by using the center<br/>manifold theorem and the normal form theory by choosing the integral step size as a<br/>bifurcation parameter. Finally, some numerical simulations are presented to support<br/>and extend the theoretical results. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Tezler, Akademik |
| Source of heading or term |
etuturkob |
| 9 (RLIN) |
32546 |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Fark denklemleri |
|
|---|
| Uncontrolled term |
Kararlılık analizi |
|
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| Uncontrolled term |
Flip çatallanma |
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| Uncontrolled term |
Neimark- Sacker çatallanma |
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| Uncontrolled term |
Difference equation |
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| Uncontrolled term |
Stability analysis |
|
|---|
| Uncontrolled term |
Flip bifurcation |
|
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| Uncontrolled term |
Neimark-Sacker bifurcation |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
TOBB Ekonomi ve Teknoloji Üniversitesi. |
| Subordinate unit |
Fen Bilimleri Enstitüsü |
| 9 (RLIN) |
77078 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://tez.yok.gov.tr/">https://tez.yok.gov.tr/</a> |
| Materials specified |
Ulusal Tez Merkezi |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Thesis |
| Source of classification or shelving scheme |
Other/Generic Classification Scheme |
