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http://dspace.univ-mascara.dz:8080/jspui/handle/123456789/1196| Title: | COMPARTMENTAL MODELS ON TIME SCALES |
| Authors: | BELARBI, Zahra |
| Keywords: | Time Scales dynamic equations on time scales deterministic epidemic model model SIR ,... existence of solution SICA model for HIV transmission permanence almost periodic solution uniform asymptotic stability numerical simulations fractional order model existence of solution |
| Issue Date: | 26-Feb-2025 |
| Abstract: | This thesis focuses on studying linear and nonlinear dynamic systems on time scales or both. The aim of the study is, on one hand, to find the exact solution for the non-population conserving SIR model on time scales, and on the other hand, to investigate the uniform stability of the SICA model also on time scales. We introduce a fractional order SIR model and SICA model and we prove the existence and the positivity of solution. |
| URI: | http://dspace.univ-mascara.dz:8080/jspui/handle/123456789/1196 |
| Appears in Collections: | Thèse de Doctorat |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| thèse_ver15_merged.pdf | 1,24 MB | Adobe PDF | View/Open |
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