Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza
In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zheng, Tingting [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Lecithin decorated thin film composite (TFC) nanofiltration membranes for enhanced sieving performance - Cheng, Lilantian ELSEVIER, 2023, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:67 ; year:2022 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.nonrwa.2022.103567 |
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| 520 | |a In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . | ||
| 520 | |a In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . | ||
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10.1016/j.nonrwa.2022.103567 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001804.pica (DE-627)ELV058102582 (ELSEVIER)S1468-1218(22)00034-7 DE-627 ger DE-627 rakwb eng 570 VZ 58.11 bkl Zheng, Tingting verfasserin aut Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . 92D30 Elsevier 37N25 Elsevier 35K57 Elsevier Nie, Linfei oth Zhu, Huaiping oth Luo, Yantao oth Teng, Zhidong oth Enthalten in Elsevier Science Cheng, Lilantian ELSEVIER Lecithin decorated thin film composite (TFC) nanofiltration membranes for enhanced sieving performance 2023 Amsterdam [u.a.] (DE-627)ELV009570969 volume:67 year:2022 pages:0 https://doi.org/10.1016/j.nonrwa.2022.103567 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 58.11 Mechanische Verfahrenstechnik VZ AR 67 2022 0 |
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10.1016/j.nonrwa.2022.103567 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001804.pica (DE-627)ELV058102582 (ELSEVIER)S1468-1218(22)00034-7 DE-627 ger DE-627 rakwb eng 570 VZ 58.11 bkl Zheng, Tingting verfasserin aut Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . 92D30 Elsevier 37N25 Elsevier 35K57 Elsevier Nie, Linfei oth Zhu, Huaiping oth Luo, Yantao oth Teng, Zhidong oth Enthalten in Elsevier Science Cheng, Lilantian ELSEVIER Lecithin decorated thin film composite (TFC) nanofiltration membranes for enhanced sieving performance 2023 Amsterdam [u.a.] (DE-627)ELV009570969 volume:67 year:2022 pages:0 https://doi.org/10.1016/j.nonrwa.2022.103567 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 58.11 Mechanische Verfahrenstechnik VZ AR 67 2022 0 |
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10.1016/j.nonrwa.2022.103567 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001804.pica (DE-627)ELV058102582 (ELSEVIER)S1468-1218(22)00034-7 DE-627 ger DE-627 rakwb eng 570 VZ 58.11 bkl Zheng, Tingting verfasserin aut Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . 92D30 Elsevier 37N25 Elsevier 35K57 Elsevier Nie, Linfei oth Zhu, Huaiping oth Luo, Yantao oth Teng, Zhidong oth Enthalten in Elsevier Science Cheng, Lilantian ELSEVIER Lecithin decorated thin film composite (TFC) nanofiltration membranes for enhanced sieving performance 2023 Amsterdam [u.a.] (DE-627)ELV009570969 volume:67 year:2022 pages:0 https://doi.org/10.1016/j.nonrwa.2022.103567 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 58.11 Mechanische Verfahrenstechnik VZ AR 67 2022 0 |
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10.1016/j.nonrwa.2022.103567 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001804.pica (DE-627)ELV058102582 (ELSEVIER)S1468-1218(22)00034-7 DE-627 ger DE-627 rakwb eng 570 VZ 58.11 bkl Zheng, Tingting verfasserin aut Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . 92D30 Elsevier 37N25 Elsevier 35K57 Elsevier Nie, Linfei oth Zhu, Huaiping oth Luo, Yantao oth Teng, Zhidong oth Enthalten in Elsevier Science Cheng, Lilantian ELSEVIER Lecithin decorated thin film composite (TFC) nanofiltration membranes for enhanced sieving performance 2023 Amsterdam [u.a.] (DE-627)ELV009570969 volume:67 year:2022 pages:0 https://doi.org/10.1016/j.nonrwa.2022.103567 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 58.11 Mechanische Verfahrenstechnik VZ AR 67 2022 0 |
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10.1016/j.nonrwa.2022.103567 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001804.pica (DE-627)ELV058102582 (ELSEVIER)S1468-1218(22)00034-7 DE-627 ger DE-627 rakwb eng 570 VZ 58.11 bkl Zheng, Tingting verfasserin aut Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . 92D30 Elsevier 37N25 Elsevier 35K57 Elsevier Nie, Linfei oth Zhu, Huaiping oth Luo, Yantao oth Teng, Zhidong oth Enthalten in Elsevier Science Cheng, Lilantian ELSEVIER Lecithin decorated thin film composite (TFC) nanofiltration membranes for enhanced sieving performance 2023 Amsterdam [u.a.] (DE-627)ELV009570969 volume:67 year:2022 pages:0 https://doi.org/10.1016/j.nonrwa.2022.103567 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 58.11 Mechanische Verfahrenstechnik VZ AR 67 2022 0 |
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role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza |
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Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza |
| abstract |
In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . |
| abstractGer |
In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . |
| abstract_unstemmed |
In this paper, we propose a time-periodic reaction–diffusion model with environment transmission and spatial heterogeneity to describe the transmission of avian influenza virus between birds, poultry and human population. Firstly, we study the well-posedness of solutions, including the existence and boundedness of global solutions and the existence of the global attractor of solution semiflow. Then, the basic reproduction number R 0 of the model is defined, and we prove R 0 is a threshold determining the global dynamics of the model. Furthermore, we analyze the dynamic behavior of the autonomous reaction–diffusion model, and obtain the existence and global attractivity of endemic equilibrium. Finally, we give some numerical examples and simulations to illustrate the main theoretical results and investigate the impacts of some model parameters on R 0 . |
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Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza |
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https://doi.org/10.1016/j.nonrwa.2022.103567 |
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Nie, Linfei Zhu, Huaiping Luo, Yantao Teng, Zhidong |
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