An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model
Abstract This work applies a novel geometric criterion for nonlinear autonomous differential equations developed by Lu and Lu (NARWA 36:20–43, 2017) to a nonlinear SEIVS epidemic model with temporary immunity and achieves its threshold dynamics. Specifically, global-stability problems for the SEIVS model of Cai and Li (AMM 33:2919–2926, 2009) are effectively solved. The corresponding optimal control system with vaccination, awareness campaigns and treatment is further established and four different control strategies are compared by numerical simulations to contain hepatitis B. It is concluded that joint implementation of these measures can minimize the numbers of exposed and infectious individuals in the shortest time, so it is the most efficient strategy to curb the hepatitis B epidemic. Moreover, vaccination for newborns plays the core role and maintains the high level of population immunity..
| Medienart: |
Artikel |
|---|
| Erscheinungsjahr: |
2021 |
|---|---|
| Erschienen: |
2021 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:67 |
|---|---|
| Enthalten in: |
Journal of applied mathematics & computing - 67(2021), 1-2 vom: 08. Feb., Seite 707-730 |
| Sprache: |
Englisch |
|---|
| Beteiligte Personen: |
Wang, Xingyu [VerfasserIn] |
|---|
| Links: |
Volltext [lizenzpflichtig] |
|---|
| BKL: | |
|---|---|
| Themen: |
Global threshold stability |
| Anmerkungen: |
© Korean Society for Informatics and Computational Applied Mathematics 2021 |
|---|
| doi: |
10.1007/s12190-020-01487-5 |
|---|
| funding: |
|
|---|---|
| Förderinstitution / Projekttitel: |
|
| PPN (Katalog-ID): |
OLC2127663535 |
|---|
| LEADER | 01000naa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2127663535 | ||
| 003 | DE-627 | ||
| 005 | 20230505132251.0 | ||
| 007 | tu | ||
| 008 | 230505s2021 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s12190-020-01487-5 |2 doi | |
| 035 | |a (DE-627)OLC2127663535 | ||
| 035 | |a (DE-He213)s12190-020-01487-5-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q VZ |
| 082 | 0 | 4 | |a 510 |q VZ |
| 084 | |a 31.80$jAngewandte Mathematik |2 bkl | ||
| 084 | |a 54.10$jTheoretische Informatik |2 bkl | ||
| 084 | |a 54.70$jComputermethodik: Allgemeines |2 bkl | ||
| 100 | 1 | |a Wang, Xingyu |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model |
| 264 | 1 | |c 2021 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © Korean Society for Informatics and Computational Applied Mathematics 2021 | ||
| 520 | |a Abstract This work applies a novel geometric criterion for nonlinear autonomous differential equations developed by Lu and Lu (NARWA 36:20–43, 2017) to a nonlinear SEIVS epidemic model with temporary immunity and achieves its threshold dynamics. Specifically, global-stability problems for the SEIVS model of Cai and Li (AMM 33:2919–2926, 2009) are effectively solved. The corresponding optimal control system with vaccination, awareness campaigns and treatment is further established and four different control strategies are compared by numerical simulations to contain hepatitis B. It is concluded that joint implementation of these measures can minimize the numbers of exposed and infectious individuals in the shortest time, so it is the most efficient strategy to curb the hepatitis B epidemic. Moreover, vaccination for newborns plays the core role and maintains the high level of population immunity. | ||
| 650 | 4 | |a SEIVS model | |
| 650 | 4 | |a Nonlinear incidence rate | |
| 650 | 4 | |a Global threshold stability | |
| 650 | 4 | |a Temporary immunity | |
| 650 | 4 | |a Li-Muldowney geometric approach | |
| 650 | 4 | |a Optimal control | |
| 700 | 1 | |a Liu, Zhijun |4 aut | |
| 700 | 1 | |a Wang, Lianwen |0 (orcid)0000-0002-9914-9627 |4 aut | |
| 700 | 1 | |a Guo, Caihong |4 aut | |
| 700 | 1 | |a Xiang, Huili |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of applied mathematics & computing |d Springer Berlin Heidelberg, 2002 |g 67(2021), 1-2 vom: 08. Feb., Seite 707-730 |w (DE-627)354687131 |w (DE-600)2090032-6 |w (DE-576)286022788 |x 1598-5865 |7 nnns |
| 773 | 1 | 8 | |g volume:67 |g year:2021 |g number:1-2 |g day:08 |g month:02 |g pages:707-730 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s12190-020-01487-5 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a GBV_ILN_267 | ||
| 912 | |a GBV_ILN_2018 | ||
| 936 | b | k | |a 31.80$jAngewandte Mathematik |q VZ |0 106419005 |0 (DE-625)106419005 |
| 936 | b | k | |a 54.10$jTheoretische Informatik |q VZ |0 106418815 |0 (DE-625)106418815 |
| 936 | b | k | |a 54.70$jComputermethodik: Allgemeines |q VZ |0 106410598 |0 (DE-625)106410598 |
| 951 | |a AR | ||
| 952 | |d 67 |j 2021 |e 1-2 |b 08 |c 02 |h 707-730 | ||