Numerical Studies for TB Models / (Record no. 56640)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02922cam a2200349 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GiCUC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250223031514.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160525s2015 ua d f m 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | EG-GiCUC |
| Language of cataloging | eng |
| Transcribing agency | EG-GiCUC |
| 041 0# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | Deposite |
| 097 ## - Thesis Degree | |
| Thesis Level | M.Sc |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Cai01.12.17.M.Sc.2015.Se.N |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Seham Mahyoub Dabwan Khaled Almekhlafi |
| 245 10 - TITLE STATEMENT | |
| Title | Numerical Studies for TB Models / |
| Statement of responsibility, etc. | Seham Mahyoub Dabwan Khaled Almekhlafi ; Supervised L. F. Abdelal , N. H. Sweilam , I. A. Soliman |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | دراسات عددية لبعض نماذج مرض الدرن - السل |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cairo : |
| Name of publisher, distributor, etc. | Seham Mahyoub Dabwan Khaled Almekhlafi , |
| Date of publication, distribution, etc. | 2015 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 127 P. : |
| Other physical details | charts ; |
| Dimensions | 25cm |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | In this thesis, numerical studies for the multi-strain Tuberculosis (TB) model, that incor- porates three strains: i.e., drug{u2212}sensitive, emerging multi{u2212}drug resistant (MDR) and ex- tensively drug{u2212}resistant (XDR), which given in [5], are introduced. The adopted model is described by a system of nonlinear ordinary di erential equations(ODEs). Special class of numerical methods, known as nonstandard nite di erence method (NSFDM) is intro- duced. The obtained results of using NSFDM are compared with other known numerical methods such as implicit Euler method and fourth-order Runge-Kutta (RK4) method. Also, the fractional order multi-strain TB model (FOTBM) as a novel model is presented. The fractional derivative is de ned in the sense of Grünwald-Letinkov de nition. Two numerical methods are presented to study this model; the standard nite di erence method (SFDM) and NSFDM. The stability of equilibrium points is studied. As an extension of FOTBM, the variable-order fractional multi-strain TB model (VOFTBM) is presented. The variable-order fractional derivative is de ned in the sense of Grünwald-Letinkov de nition. Two numeri- cal methods are presented for this model, SFDM and NSFDM. The stability of equilibrium points is studied. At the end of thesis, the optimal control for multi-strain TB model is presented. The optimal control problem of TB model is formulated and studied theoretically using the Pontryagin maximum principle. Di erent optimal control strategies are proposed to minimize the cost of interventions. The resultant system of ODEs is numerically studied using foreword and backward Euler method |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Epidemic model |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Nonstandard finite difference |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Tuberculosis |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Iman Abdelraouf Soliman , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Laila Fahmy Abdelal , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nasser Hassan Sweilam , |
| Relator term | |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://172.23.153.220/th.pdf">http://172.23.153.220/th.pdf</a> |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Aml |
| Reviser | Cataloger |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Nazla |
| Reviser | Revisor |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Thesis |
| Source of classification or shelving scheme | Not for loan | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Koha item type | Copy number |
|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 11.02.2024 | Cai01.12.17.M.Sc.2015.Se.N | 01010110069066000 | 22.09.2023 | Thesis | ||
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.M.Sc.2015.Se.N | 01020110069066000 | 22.09.2023 | CD - Rom | 69066.CD |