Traveling curved fronts of bistable Lotka–Volterra competition–diffusion systems in R 3
This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka–Volterra competition–diffusion systems in R 3 . It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asympt...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Cao, Meiling [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Umfang: |
17 |
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| Übergeordnetes Werk: |
Enthalten in: Growth and welfare implications of sector-specific innovations - Güner, İlhan ELSEVIER, 2022, an international journal, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:71 ; year:2016 ; number:6 ; pages:1270-1286 ; extent:17 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.camwa.2016.02.003 |
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| 520 | |a This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka–Volterra competition–diffusion systems in R 3 . It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given g ∈ C ∞ ( S 1 ) with min 0 ≤ θ ≤ 2 π g ( θ ) = 0 . | ||
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10.1016/j.camwa.2016.02.003 doi GBVA2016014000003.pica (DE-627)ELV040106462 (ELSEVIER)S0898-1221(16)30045-1 DE-627 ger DE-627 rakwb eng 510 004 510 DE-600 004 DE-600 330 VZ 83.03 bkl 83.10 bkl Cao, Meiling verfasserin aut Traveling curved fronts of bistable Lotka–Volterra competition–diffusion systems in R 3 2016 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka–Volterra competition–diffusion systems in R 3 . It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given g ∈ C ∞ ( S 1 ) with min 0 ≤ θ ≤ 2 π g ( θ ) = 0 . Lotka–Volterra competition–diffusion systems Elsevier Bistable Elsevier Traveling curved fronts Elsevier Sheng, Weijie oth Enthalten in Elsevier Science Güner, İlhan ELSEVIER Growth and welfare implications of sector-specific innovations 2022 an international journal Amsterdam [u.a.] (DE-627)ELV008987521 volume:71 year:2016 number:6 pages:1270-1286 extent:17 https://doi.org/10.1016/j.camwa.2016.02.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 83.03 Methoden und Techniken der Volkswirtschaft VZ 83.10 Wirtschaftstheorie: Allgemeines VZ AR 71 2016 6 1270-1286 17 045F 510 |
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10.1016/j.camwa.2016.02.003 doi GBVA2016014000003.pica (DE-627)ELV040106462 (ELSEVIER)S0898-1221(16)30045-1 DE-627 ger DE-627 rakwb eng 510 004 510 DE-600 004 DE-600 330 VZ 83.03 bkl 83.10 bkl Cao, Meiling verfasserin aut Traveling curved fronts of bistable Lotka–Volterra competition–diffusion systems in R 3 2016 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka–Volterra competition–diffusion systems in R 3 . It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given g ∈ C ∞ ( S 1 ) with min 0 ≤ θ ≤ 2 π g ( θ ) = 0 . Lotka–Volterra competition–diffusion systems Elsevier Bistable Elsevier Traveling curved fronts Elsevier Sheng, Weijie oth Enthalten in Elsevier Science Güner, İlhan ELSEVIER Growth and welfare implications of sector-specific innovations 2022 an international journal Amsterdam [u.a.] (DE-627)ELV008987521 volume:71 year:2016 number:6 pages:1270-1286 extent:17 https://doi.org/10.1016/j.camwa.2016.02.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 83.03 Methoden und Techniken der Volkswirtschaft VZ 83.10 Wirtschaftstheorie: Allgemeines VZ AR 71 2016 6 1270-1286 17 045F 510 |
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This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka–Volterra competition–diffusion systems in R 3 . It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given g ∈ C ∞ ( S 1 ) with min 0 ≤ θ ≤ 2 π g ( θ ) = 0 . |
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This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka–Volterra competition–diffusion systems in R 3 . It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given g ∈ C ∞ ( S 1 ) with min 0 ≤ θ ≤ 2 π g ( θ ) = 0 . |
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This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka–Volterra competition–diffusion systems in R 3 . It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given g ∈ C ∞ ( S 1 ) with min 0 ≤ θ ≤ 2 π g ( θ ) = 0 . |
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