Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary
We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Mingxin [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
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| Umfang: |
21 |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:441 ; year:2016 ; number:1 ; day:1 ; month:09 ; pages:309-329 ; extent:21 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.jmaa.2016.04.007 |
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ELV035608307 |
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| 245 | 1 | 0 | |a Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary |
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| 520 | |a We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. | ||
| 520 | |a We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. | ||
| 650 | 7 | |a Diffusive prey–predator model |2 Elsevier | |
| 650 | 7 | |a Variable intrinsic growth rate |2 Elsevier | |
| 650 | 7 | |a Free boundary |2 Elsevier | |
| 650 | 7 | |a Spreading and vanishing |2 Elsevier | |
| 650 | 7 | |a Long time behavior |2 Elsevier | |
| 700 | 1 | |a Sheng, Weijie |4 oth | |
| 700 | 1 | |a Zhang, Yang |4 oth | |
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10.1016/j.jmaa.2016.04.007 doi GBVA2016022000019.pica (DE-627)ELV035608307 (ELSEVIER)S0022-247X(16)30036-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Wang, Mingxin verfasserin aut Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary 2016transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. Diffusive prey–predator model Elsevier Variable intrinsic growth rate Elsevier Free boundary Elsevier Spreading and vanishing Elsevier Long time behavior Elsevier Sheng, Weijie oth Zhang, Yang oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:441 year:2016 number:1 day:1 month:09 pages:309-329 extent:21 https://doi.org/10.1016/j.jmaa.2016.04.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 441 2016 1 1 0901 309-329 21 045F 510 |
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10.1016/j.jmaa.2016.04.007 doi GBVA2016022000019.pica (DE-627)ELV035608307 (ELSEVIER)S0022-247X(16)30036-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Wang, Mingxin verfasserin aut Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary 2016transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. Diffusive prey–predator model Elsevier Variable intrinsic growth rate Elsevier Free boundary Elsevier Spreading and vanishing Elsevier Long time behavior Elsevier Sheng, Weijie oth Zhang, Yang oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:441 year:2016 number:1 day:1 month:09 pages:309-329 extent:21 https://doi.org/10.1016/j.jmaa.2016.04.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 441 2016 1 1 0901 309-329 21 045F 510 |
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10.1016/j.jmaa.2016.04.007 doi GBVA2016022000019.pica (DE-627)ELV035608307 (ELSEVIER)S0022-247X(16)30036-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Wang, Mingxin verfasserin aut Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary 2016transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. Diffusive prey–predator model Elsevier Variable intrinsic growth rate Elsevier Free boundary Elsevier Spreading and vanishing Elsevier Long time behavior Elsevier Sheng, Weijie oth Zhang, Yang oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:441 year:2016 number:1 day:1 month:09 pages:309-329 extent:21 https://doi.org/10.1016/j.jmaa.2016.04.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 441 2016 1 1 0901 309-329 21 045F 510 |
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10.1016/j.jmaa.2016.04.007 doi GBVA2016022000019.pica (DE-627)ELV035608307 (ELSEVIER)S0022-247X(16)30036-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Wang, Mingxin verfasserin aut Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary 2016transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. Diffusive prey–predator model Elsevier Variable intrinsic growth rate Elsevier Free boundary Elsevier Spreading and vanishing Elsevier Long time behavior Elsevier Sheng, Weijie oth Zhang, Yang oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:441 year:2016 number:1 day:1 month:09 pages:309-329 extent:21 https://doi.org/10.1016/j.jmaa.2016.04.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 441 2016 1 1 0901 309-329 21 045F 510 |
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10.1016/j.jmaa.2016.04.007 doi GBVA2016022000019.pica (DE-627)ELV035608307 (ELSEVIER)S0022-247X(16)30036-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Wang, Mingxin verfasserin aut Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary 2016transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. Diffusive prey–predator model Elsevier Variable intrinsic growth rate Elsevier Free boundary Elsevier Spreading and vanishing Elsevier Long time behavior Elsevier Sheng, Weijie oth Zhang, Yang oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:441 year:2016 number:1 day:1 month:09 pages:309-329 extent:21 https://doi.org/10.1016/j.jmaa.2016.04.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 441 2016 1 1 0901 309-329 21 045F 510 |
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| author |
Wang, Mingxin |
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In silico drug repurposing in COVID-19: A network-based analysis |
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spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary |
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Spreading and vanishing in a diffusive prey–predator model with variable intrinsic growth rate and free boundary |
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We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. |
| abstractGer |
We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. |
| abstract_unstemmed |
We study the spreading and vanishing phenomena in a diffusive prey–predator system with variable intrinsic growth rate and free boundary. In this model, the free boundary represents the spreading front and is caused only by the prey, and the variable intrinsic growth rate is allowed to tend to zero and decay “very fast” as t → ∞ or x → ∞ . Our main attention is on the effect of variable intrinsic growth rate on the solution and attempt to find some new techniques to deal with the variable intrinsic growth rate. We first study the long time behavior of ( u , v ) for the vanishing case ( h ∞ < ∞ ). Then we find the criteria for spreading and vanishing. At last, the long time behavior of ( u , v ) for the spreading case ( h ∞ = ∞ ) is discussed. together establish a spreading–vanishing dichotomy. |
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