- Pfad:
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Analysis of the drug resistance level of malaria disease: a fractional-order model
Dateien
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Zeitschrift
- Titel:
- Epidemiologic methods
- Erschienen:
-
Berlin Boston, Mass.: de Gruyter
- Fußnote:
- Gesehen am 05.08.14
- Fortsetzung der Druck-Ausgabe
- 355+C!URL-Ä.(06-02-12);12!z LF gelöscht(05-08-14)
- Umfang:
- Online-Ressource
- ISSN:
- 2161-962X
- ZDB-ID:
-
2629312-2
- VÖBB-Katalog:
- 35409782
- Schlagworte:
- Zeitschrift
- ZLB-Systematik:
- Wirtschaft
- Sammlung:
- Wirtschaft
- Copyright:
- Rechte vorbehalten
- Zugriffsberechtigung:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
Aufsatz
- Titel:
- Analysis of the drug resistance level of malaria disease: a fractional-order model
- Erschienen:
-
Berlin Boston, Mass.: de Gruyter, 2025
- Sprache:
- Englisch
- Zusammenfassung:
- Abstract: Despite modern medical developments, infectious diseases continue to impact millions worldwide. Malaria, for instance, is a significant cause of mortality and suffering in developed and developing countries. The most challenging hurdle for scientists to control this disease is the parasite’s propensity to develop resistance to novel medicines and treatment approaches. In response, this study develops a novel compartmental model of malaria transmission with memory between human-to-mosquito and mosquito-to-human that integrates drug resistance development and therapy as a preventative measure. The memory is incorporated using the Caputo fractional derivative. The existence and stability of the disease-free and endemic equilibrium have been investigated using the Routh-Hurwitz criterion. Numerical simulations have been performed to establish the role of different crucial parameters and variables in the proposed model. In addition, sensitivity analysis has been performed to demonstrate the variation of findings for the different parameters. The results demonstrate that decreasing the order of derivative reduces the basic reproduction number and that early detection of resistance levels can help minimize transmission. The research has broad implications for healthcare, including the need to achieve high rates of treatment and immunity development while minimizing the emergence of drug resistance due to treatment failure. In summary, this research sheds light on this terrible pandemic’s nature by assessing the impact of treatment rates and resistance levels.
- Umfang:
- Online-Ressource
- Fußnote:
- Kein Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Schlagworte:
- fractional differential equation ; mathematical modeling ; drug resistance ; malaria ; stability analysis ; 26A33 ; 00A71 ; 34A08 ; 93A30 ; 97M10 ; 97M60
- ZLB-Systematik:
- Wirtschaft
- Medizin
- Sammlung:
- Wirtschaft
- Medizin
- Copyright:
- Rechte vorbehalten
- Zugriffsberechtigung:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
