Threshold dynamics in mathematical models for mosquito- and rodent-borne diseases with seasonality
The Ph.D. thesis investigates the impact of the periodicity of weather on the spread of malaria, Zika fever, and Lassa fever by applying non-autonomous compartmental population models with time-dependent (periodic) parameters. The dynamics of the system is characterized by the basic reproduction num...
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| További közreműködők: | |
| Dokumentumtípus: | Disszertáció |
| Megjelent: |
2022-05-04
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| Tárgyszavak: | |
| doi: | 10.14232/phd.11020 |
| mtmt: | 32808235 |
| Online Access: | http://doktori.ek.szte.hu/11020 |
| LEADER | 02032nta a2200253 i 4500 | ||
|---|---|---|---|
| 001 | dokt11020 | ||
| 005 | 20221014132006.0 | ||
| 008 | 210913s2022 hu om 0|| eng d | ||
| 024 | 7 | |a 10.14232/phd.11020 |2 doi | |
| 024 | 7 | |a 32808235 |2 mtmt | |
| 040 | |a SZTE Doktori Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Ibrahim Mahmoud Abdalla Ali | |
| 245 | 1 | 0 | |a Threshold dynamics in mathematical models for mosquito- and rodent-borne diseases with seasonality |h [elektronikus dokumentum] / |c Ibrahim Mahmoud Abdalla Ali |
| 260 | |c 2022-05-04 | ||
| 502 | |a Disszertacio | ||
| 520 | 3 | |a The Ph.D. thesis investigates the impact of the periodicity of weather on the spread of malaria, Zika fever, and Lassa fever by applying non-autonomous compartmental population models with time-dependent (periodic) parameters. The dynamics of the system is characterized by the basic reproduction number ($\mathcal{R}_0$) of periodic compartmental models, defined as the spectral radius of an integral operator acting on the space of continuous periodic functions, and it has also been shown that the reproduction number is a threshold parameter with respect to disease extinction or persistence. Our aim is to show that the disease-free periodic solution of our newly established models is globally asymptotically stable if $\mathcal{R}_0 < 1$, while for $\mathcal{R}_0 > 1$, there exists at least one positive $\omega$-periodic solution. We provide numerical studies and give examples to describe what kind of parameter changes might trigger the periodic recurrence of the disease. | |
| 650 | 4 | |a matematika- és számítástudományok | |
| 650 | 4 | |a Differenciálegyenletek és dinamikai rendszerek | |
| 650 | 4 | |a Numerikus analízis | |
| 650 | 4 | |a Tudományos alkalmazott matematika | |
| 700 | 1 | |a Dénes Attila |e ths | |
| 856 | 4 | 0 | |u https://doktori.bibl.u-szeged.hu/id/eprint/11020/1/Thesis_Mahmoud%20Ibrahim.pdf |z Dokumentum-elérés |
| 856 | 4 | 0 | |u https://doktori.bibl.u-szeged.hu/id/eprint/11020/2/Booklet_Mahmoud%20Ibrahim.pdf |z Dokumentum-elérés |