Global stability of an SVIR model with age of vaccination
Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination class...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Duan, Xichao [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014transfer abstract |
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| Systematik: |
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| Umfang: |
13 |
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| Übergeordnetes Werk: |
Enthalten in: Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation - Moreira, Zeus S. ELSEVIER, 2021, New York, NY |
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| Übergeordnetes Werk: |
volume:226 ; year:2014 ; day:1 ; month:01 ; pages:528-540 ; extent:13 |
| Links: |
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| DOI / URN: |
10.1016/j.amc.2013.10.073 |
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ELV017227542 |
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| 245 | 1 | 0 | |a Global stability of an SVIR model with age of vaccination |
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| 520 | |a Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. | ||
| 520 | |a Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. | ||
| 650 | 7 | |a Lyapunov functional |2 Elsevier | |
| 650 | 7 | |a Global stability |2 Elsevier | |
| 650 | 7 | |a Age of vaccination |2 Elsevier | |
| 650 | 7 | |a SIVR model |2 Elsevier | |
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| 700 | 1 | |a Yuan, Sanling |4 oth | |
| 700 | 1 | |a Li, Xuezhi |4 oth | |
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10.1016/j.amc.2013.10.073 doi GBVA2014002000005.pica (DE-627)ELV017227542 (ELSEVIER)S0096-3003(13)01130-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Duan, Xichao verfasserin aut Global stability of an SVIR model with age of vaccination 2014transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Lyapunov functional Elsevier Global stability Elsevier Age of vaccination Elsevier SIVR model Elsevier LaSalle’s invariance principle Elsevier Yuan, Sanling oth Li, Xuezhi oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:226 year:2014 day:1 month:01 pages:528-540 extent:13 https://doi.org/10.1016/j.amc.2013.10.073 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 226 2014 1 0101 528-540 13 045F 510 |
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10.1016/j.amc.2013.10.073 doi GBVA2014002000005.pica (DE-627)ELV017227542 (ELSEVIER)S0096-3003(13)01130-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Duan, Xichao verfasserin aut Global stability of an SVIR model with age of vaccination 2014transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Lyapunov functional Elsevier Global stability Elsevier Age of vaccination Elsevier SIVR model Elsevier LaSalle’s invariance principle Elsevier Yuan, Sanling oth Li, Xuezhi oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:226 year:2014 day:1 month:01 pages:528-540 extent:13 https://doi.org/10.1016/j.amc.2013.10.073 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 226 2014 1 0101 528-540 13 045F 510 |
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10.1016/j.amc.2013.10.073 doi GBVA2014002000005.pica (DE-627)ELV017227542 (ELSEVIER)S0096-3003(13)01130-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Duan, Xichao verfasserin aut Global stability of an SVIR model with age of vaccination 2014transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Lyapunov functional Elsevier Global stability Elsevier Age of vaccination Elsevier SIVR model Elsevier LaSalle’s invariance principle Elsevier Yuan, Sanling oth Li, Xuezhi oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:226 year:2014 day:1 month:01 pages:528-540 extent:13 https://doi.org/10.1016/j.amc.2013.10.073 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 226 2014 1 0101 528-540 13 045F 510 |
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10.1016/j.amc.2013.10.073 doi GBVA2014002000005.pica (DE-627)ELV017227542 (ELSEVIER)S0096-3003(13)01130-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Duan, Xichao verfasserin aut Global stability of an SVIR model with age of vaccination 2014transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Lyapunov functional Elsevier Global stability Elsevier Age of vaccination Elsevier SIVR model Elsevier LaSalle’s invariance principle Elsevier Yuan, Sanling oth Li, Xuezhi oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:226 year:2014 day:1 month:01 pages:528-540 extent:13 https://doi.org/10.1016/j.amc.2013.10.073 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 226 2014 1 0101 528-540 13 045F 510 |
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10.1016/j.amc.2013.10.073 doi GBVA2014002000005.pica (DE-627)ELV017227542 (ELSEVIER)S0096-3003(13)01130-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Duan, Xichao verfasserin aut Global stability of an SVIR model with age of vaccination 2014transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. Lyapunov functional Elsevier Global stability Elsevier Age of vaccination Elsevier SIVR model Elsevier LaSalle’s invariance principle Elsevier Yuan, Sanling oth Li, Xuezhi oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:226 year:2014 day:1 month:01 pages:528-540 extent:13 https://doi.org/10.1016/j.amc.2013.10.073 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 226 2014 1 0101 528-540 13 045F 510 |
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Enthalten in Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation New York, NY volume:226 year:2014 day:1 month:01 pages:528-540 extent:13 |
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Enthalten in Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation New York, NY volume:226 year:2014 day:1 month:01 pages:528-540 extent:13 |
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Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |
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Global stability of an SVIR model with age of vaccination |
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Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. |
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Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. |
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Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle’s invariance principle and constructing suitable Lyapunov function(al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R 0 ( ψ ) . Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of the disease are displayed. |
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