Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat
We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dong, Fang-Di [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021transfer abstract |
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| Schlagwörter: |
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| Umfang: |
27 |
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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:276 ; year:2021 ; day:5 ; month:03 ; pages:433-459 ; extent:27 |
| Links: |
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| DOI / URN: |
10.1016/j.jde.2020.12.022 |
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ELV052677893 |
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| 520 | |a We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. | ||
| 520 | |a We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. | ||
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10.1016/j.jde.2020.12.022 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001259.pica (DE-627)ELV052677893 (ELSEVIER)S0022-0396(20)30679-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Dong, Fang-Di verfasserin aut Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat 2021transfer abstract 27 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. 92D25 Elsevier 92D40 Elsevier Li, Bingtuan oth Li, Wan-Tong 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:276 year:2021 day:5 month:03 pages:433-459 extent:27 https://doi.org/10.1016/j.jde.2020.12.022 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 276 2021 5 0305 433-459 27 |
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10.1016/j.jde.2020.12.022 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001259.pica (DE-627)ELV052677893 (ELSEVIER)S0022-0396(20)30679-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Dong, Fang-Di verfasserin aut Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat 2021transfer abstract 27 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. 92D25 Elsevier 92D40 Elsevier Li, Bingtuan oth Li, Wan-Tong 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:276 year:2021 day:5 month:03 pages:433-459 extent:27 https://doi.org/10.1016/j.jde.2020.12.022 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 276 2021 5 0305 433-459 27 |
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10.1016/j.jde.2020.12.022 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001259.pica (DE-627)ELV052677893 (ELSEVIER)S0022-0396(20)30679-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Dong, Fang-Di verfasserin aut Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat 2021transfer abstract 27 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. 92D25 Elsevier 92D40 Elsevier Li, Bingtuan oth Li, Wan-Tong 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:276 year:2021 day:5 month:03 pages:433-459 extent:27 https://doi.org/10.1016/j.jde.2020.12.022 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 276 2021 5 0305 433-459 27 |
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10.1016/j.jde.2020.12.022 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001259.pica (DE-627)ELV052677893 (ELSEVIER)S0022-0396(20)30679-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Dong, Fang-Di verfasserin aut Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat 2021transfer abstract 27 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. 92D25 Elsevier 92D40 Elsevier Li, Bingtuan oth Li, Wan-Tong 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:276 year:2021 day:5 month:03 pages:433-459 extent:27 https://doi.org/10.1016/j.jde.2020.12.022 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 276 2021 5 0305 433-459 27 |
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10.1016/j.jde.2020.12.022 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001259.pica (DE-627)ELV052677893 (ELSEVIER)S0022-0396(20)30679-3 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Dong, Fang-Di verfasserin aut Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat 2021transfer abstract 27 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. 92D25 Elsevier 92D40 Elsevier Li, Bingtuan oth Li, Wan-Tong 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:276 year:2021 day:5 month:03 pages:433-459 extent:27 https://doi.org/10.1016/j.jde.2020.12.022 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 276 2021 5 0305 433-459 27 |
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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:276 year:2021 day:5 month:03 pages:433-459 extent:27 |
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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:276 year:2021 day:5 month:03 pages:433-459 extent:27 |
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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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Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon |
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Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat |
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Dong, Fang-Di |
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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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forced waves in a lotka-volterra competition-diffusion model with a shifting habitat |
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Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat |
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We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. |
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We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. |
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We establish the existence of traveling waves for a Lotka-Volterra competition-diffusion model with a shifting habitat. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near ∞ and negative near −∞, and shifting rightward at a speed c. We show that under appropriate conditions, for the case that one species is competitively stronger near ∞ and the case that both species coexist near ∞, there exists a critical number c ¯ ( ∞ ) such that for any c > c ¯ ( ∞ ) there exists a forced traveling wave with speed c connecting the origin and a semi-trivial steady state and for c 0 , there is a forced traveling wave with speed c connecting the origin and the coexistence steady state. |
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Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat |
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https://doi.org/10.1016/j.jde.2020.12.022 |
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