On the invading speeds for a diffusive three-species competition system

In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien specie...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Guo, Karen [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Competition system Traveling wave Wave speed Invading speed

Übergeordnetes Werk:	Enthalten in: Journal of mathematical analysis and applications - Amsterdam [u.a.] : Elsevier, 1960, 526
Übergeordnetes Werk:	volume:526

DOI / URN:	10.1016/j.jmaa.2023.127229

Katalog-ID:	ELV063261340

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245	1	0	\|a On the invading speeds for a diffusive three-species competition system
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520			\|a In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together.
650		4	\|a Competition system
650		4	\|a Traveling wave
650		4	\|a Wave speed
650		4	\|a Invading speed
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912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
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912			\|a GBV_ILN_2005
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allfields	10.1016/j.jmaa.2023.127229 doi (DE-627)ELV063261340 (ELSEVIER)S0022-247X(23)00232-9 DE-627 ger DE-627 rda eng 510 VZ 31.00 bkl Guo, Karen verfasserin aut On the invading speeds for a diffusive three-species competition system 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together. Competition system Traveling wave Wave speed Invading speed Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 526 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:526 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines VZ AR 526
spelling	10.1016/j.jmaa.2023.127229 doi (DE-627)ELV063261340 (ELSEVIER)S0022-247X(23)00232-9 DE-627 ger DE-627 rda eng 510 VZ 31.00 bkl Guo, Karen verfasserin aut On the invading speeds for a diffusive three-species competition system 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together. Competition system Traveling wave Wave speed Invading speed Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 526 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:526 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines VZ AR 526
allfields_unstemmed	10.1016/j.jmaa.2023.127229 doi (DE-627)ELV063261340 (ELSEVIER)S0022-247X(23)00232-9 DE-627 ger DE-627 rda eng 510 VZ 31.00 bkl Guo, Karen verfasserin aut On the invading speeds for a diffusive three-species competition system 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together. Competition system Traveling wave Wave speed Invading speed Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 526 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:526 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines VZ AR 526
allfieldsGer	10.1016/j.jmaa.2023.127229 doi (DE-627)ELV063261340 (ELSEVIER)S0022-247X(23)00232-9 DE-627 ger DE-627 rda eng 510 VZ 31.00 bkl Guo, Karen verfasserin aut On the invading speeds for a diffusive three-species competition system 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together. Competition system Traveling wave Wave speed Invading speed Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 526 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:526 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines VZ AR 526
allfieldsSound	10.1016/j.jmaa.2023.127229 doi (DE-627)ELV063261340 (ELSEVIER)S0022-247X(23)00232-9 DE-627 ger DE-627 rda eng 510 VZ 31.00 bkl Guo, Karen verfasserin aut On the invading speeds for a diffusive three-species competition system 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together. Competition system Traveling wave Wave speed Invading speed Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 526 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:526 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines VZ AR 526
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author	Guo, Karen
spellingShingle	Guo, Karen ddc 510 bkl 31.00 misc Competition system misc Traveling wave misc Wave speed misc Invading speed On the invading speeds for a diffusive three-species competition system
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topic_title	510 VZ 31.00 bkl On the invading speeds for a diffusive three-species competition system Competition system Traveling wave Wave speed Invading speed
topic	ddc 510 bkl 31.00 misc Competition system misc Traveling wave misc Wave speed misc Invading speed
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title	On the invading speeds for a diffusive three-species competition system
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title_full	On the invading speeds for a diffusive three-species competition system
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title_sort	on the invading speeds for a diffusive three-species competition system
title_auth	On the invading speeds for a diffusive three-species competition system
abstract	In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together.
abstractGer	In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together.
abstract_unstemmed	In this paper, we investigate the invading speeds for a three-species competition system. By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. Moreover, depending on different conditions on the parameters of this competition system, we show that either a strong alien competing species can wipe out the other two species; or three weak competing species can live together.
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title_short	On the invading speeds for a diffusive three-species competition system
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up_date	2024-07-06T19:32:17.511Z
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By deriving the existence and non-existence of a class of traveling waves connecting two different constant equilibria of this competition system, we characterize the minimal invading speeds of two alien species in the case of one single weak aboriginal species and of a single alien species in the case of two weak aboriginal species, respectively. 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On the invading speeds for a diffusive three-species competition system

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