Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model
In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yu, Jianshe [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
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| Schlagwörter: |
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| Umfang: |
21 |
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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:269 ; year:2020 ; number:12 ; day:5 ; month:12 ; pages:10395-10415 ; extent:21 |
| Links: |
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| DOI / URN: |
10.1016/j.jde.2020.07.019 |
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ELV051674394 |
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| 245 | 1 | 0 | |a Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model |
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| 520 | |a In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. | ||
| 520 | |a In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. | ||
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10.1016/j.jde.2020.07.019 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001167.pica (DE-627)ELV051674394 (ELSEVIER)S0022-0396(20)30413-7 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Yu, Jianshe verfasserin aut Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model 2020transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. 34C25 Elsevier 92D30 Elsevier 34D23 Elsevier 92D25 Elsevier 92D40 Elsevier 34D05 Elsevier 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:269 year:2020 number:12 day:5 month:12 pages:10395-10415 extent:21 https://doi.org/10.1016/j.jde.2020.07.019 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 269 2020 12 5 1205 10395-10415 21 |
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10.1016/j.jde.2020.07.019 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001167.pica (DE-627)ELV051674394 (ELSEVIER)S0022-0396(20)30413-7 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Yu, Jianshe verfasserin aut Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model 2020transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. 34C25 Elsevier 92D30 Elsevier 34D23 Elsevier 92D25 Elsevier 92D40 Elsevier 34D05 Elsevier 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:269 year:2020 number:12 day:5 month:12 pages:10395-10415 extent:21 https://doi.org/10.1016/j.jde.2020.07.019 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 269 2020 12 5 1205 10395-10415 21 |
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10.1016/j.jde.2020.07.019 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001167.pica (DE-627)ELV051674394 (ELSEVIER)S0022-0396(20)30413-7 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Yu, Jianshe verfasserin aut Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model 2020transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. 34C25 Elsevier 92D30 Elsevier 34D23 Elsevier 92D25 Elsevier 92D40 Elsevier 34D05 Elsevier 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:269 year:2020 number:12 day:5 month:12 pages:10395-10415 extent:21 https://doi.org/10.1016/j.jde.2020.07.019 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 269 2020 12 5 1205 10395-10415 21 |
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10.1016/j.jde.2020.07.019 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001167.pica (DE-627)ELV051674394 (ELSEVIER)S0022-0396(20)30413-7 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Yu, Jianshe verfasserin aut Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model 2020transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. 34C25 Elsevier 92D30 Elsevier 34D23 Elsevier 92D25 Elsevier 92D40 Elsevier 34D05 Elsevier 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:269 year:2020 number:12 day:5 month:12 pages:10395-10415 extent:21 https://doi.org/10.1016/j.jde.2020.07.019 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 269 2020 12 5 1205 10395-10415 21 |
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10.1016/j.jde.2020.07.019 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001167.pica (DE-627)ELV051674394 (ELSEVIER)S0022-0396(20)30413-7 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Yu, Jianshe verfasserin aut Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model 2020transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. 34C25 Elsevier 92D30 Elsevier 34D23 Elsevier 92D25 Elsevier 92D40 Elsevier 34D05 Elsevier 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:269 year:2020 number:12 day:5 month:12 pages:10395-10415 extent:21 https://doi.org/10.1016/j.jde.2020.07.019 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 269 2020 12 5 1205 10395-10415 21 |
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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:269 year:2020 number:12 day:5 month:12 pages:10395-10415 extent:21 |
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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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Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon |
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Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model |
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Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model |
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Yu, Jianshe |
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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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Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon |
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existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model |
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Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model |
| abstract |
In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. |
| abstractGer |
In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. |
| abstract_unstemmed |
In this paper, we study the existence and stability of a unique and exact two periodic orbits of an ordinary differential equation model for the interaction of wild and the released sterile mosquitoes, which consists of two sub-equations constantly switching each other. We first show that the model has at most two periodic solutions for all of the parameters and then surprisingly find that the model has a unique periodic solution if and only if the origin is unstable, and has exact two periodic solutions if and only if the origin is asymptotically stable provided the release amount does not exceed the release amount threshold value, respectively. We also give sufficient conditions for the existence of exact two periodic solutions and analyze the stability of each periodic solution. |
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Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model |
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