The threshold infection level for <ce:italic>Wolbachia</ce:italic> invasion in random environments
Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for te...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hu, Linchao [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019transfer abstract |
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| Schlagwörter: |
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| Umfang: |
17 |
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| Übergeordnetes Werk: |
Enthalten in: Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon - Kim, Jihyun R. ELSEVIER, 2015, Orlando, Fla |
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| Übergeordnetes Werk: |
volume:266 ; year:2019 ; number:7 ; day:15 ; month:03 ; pages:4377-4393 ; extent:17 |
| Links: |
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| DOI / URN: |
10.1016/j.jde.2018.09.035 |
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ELV045518513 |
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| 520 | |a Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. | ||
| 520 | |a Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. | ||
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10.1016/j.jde.2018.09.035 doi GBV00000000000497.pica (DE-627)ELV045518513 (ELSEVIER)S0022-0396(18)30578-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Hu, Linchao verfasserin aut The threshold infection level for <ce:italic>Wolbachia</ce:italic> invasion in random environments 2019transfer abstract 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. 34D23 Elsevier 92D25 Elsevier 37N25 Elsevier 93E03 Elsevier Tang, Moxun oth Wu, Zhongdao oth Xi, Zhiyong oth Yu, Jianshe oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:7 day:15 month:03 pages:4377-4393 extent:17 https://doi.org/10.1016/j.jde.2018.09.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 7 15 0315 4377-4393 17 |
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10.1016/j.jde.2018.09.035 doi GBV00000000000497.pica (DE-627)ELV045518513 (ELSEVIER)S0022-0396(18)30578-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Hu, Linchao verfasserin aut The threshold infection level for <ce:italic>Wolbachia</ce:italic> invasion in random environments 2019transfer abstract 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. 34D23 Elsevier 92D25 Elsevier 37N25 Elsevier 93E03 Elsevier Tang, Moxun oth Wu, Zhongdao oth Xi, Zhiyong oth Yu, Jianshe oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:7 day:15 month:03 pages:4377-4393 extent:17 https://doi.org/10.1016/j.jde.2018.09.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 7 15 0315 4377-4393 17 |
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10.1016/j.jde.2018.09.035 doi GBV00000000000497.pica (DE-627)ELV045518513 (ELSEVIER)S0022-0396(18)30578-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Hu, Linchao verfasserin aut The threshold infection level for <ce:italic>Wolbachia</ce:italic> invasion in random environments 2019transfer abstract 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. 34D23 Elsevier 92D25 Elsevier 37N25 Elsevier 93E03 Elsevier Tang, Moxun oth Wu, Zhongdao oth Xi, Zhiyong oth Yu, Jianshe oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:7 day:15 month:03 pages:4377-4393 extent:17 https://doi.org/10.1016/j.jde.2018.09.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 7 15 0315 4377-4393 17 |
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10.1016/j.jde.2018.09.035 doi GBV00000000000497.pica (DE-627)ELV045518513 (ELSEVIER)S0022-0396(18)30578-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Hu, Linchao verfasserin aut The threshold infection level for <ce:italic>Wolbachia</ce:italic> invasion in random environments 2019transfer abstract 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. 34D23 Elsevier 92D25 Elsevier 37N25 Elsevier 93E03 Elsevier Tang, Moxun oth Wu, Zhongdao oth Xi, Zhiyong oth Yu, Jianshe oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:7 day:15 month:03 pages:4377-4393 extent:17 https://doi.org/10.1016/j.jde.2018.09.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 7 15 0315 4377-4393 17 |
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10.1016/j.jde.2018.09.035 doi GBV00000000000497.pica (DE-627)ELV045518513 (ELSEVIER)S0022-0396(18)30578-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Hu, Linchao verfasserin aut The threshold infection level for <ce:italic>Wolbachia</ce:italic> invasion in random environments 2019transfer abstract 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. 34D23 Elsevier 92D25 Elsevier 37N25 Elsevier 93E03 Elsevier Tang, Moxun oth Wu, Zhongdao oth Xi, Zhiyong oth Yu, Jianshe oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:7 day:15 month:03 pages:4377-4393 extent:17 https://doi.org/10.1016/j.jde.2018.09.035 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 7 15 0315 4377-4393 17 |
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Enthalten in Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon Orlando, Fla volume:266 year:2019 number:7 day:15 month:03 pages:4377-4393 extent:17 |
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Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon |
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Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. |
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Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. |
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Dengue fever and Zika are mosquito-borne diseases threatening human health. A novel strategy for mosquito-borne disease control uses the bacterium Wolbachia to block virus transmission. It requires releasing Wolbachia infected mosquitoes to exceed a threshold level. Since an accurate forecast for temperature and rainfall, the major environmental conditions regulating the mosquito dynamics, is often not available over a long time period, it is important to explore how the threshold releasing level changes in random environments. In this work, we estimate the threshold level in a stochastic system of differential equations where the reproduction rates of mosquitoes change randomly. We prove that the threshold level is, surprisingly, defined by a deterministic curve that does not fluctuate with environmental conditions. The major difficulty in the proof is to construct various auxiliary curves to limit the dynamic behaviors of the whole family of innumerable solutions satisfying a given initial condition. |
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