Noise-induced transitions in an avian influenza model with the Allee effect

Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic...
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Autor*in:	Guo, Xiaoxia [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Stochastic avian influenza model Allee effect Noise-induced transition Stochastic sensitivity

Anmerkung:	© The Author(s) 2023

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2023(2023), 1 vom: 17. Nov.
Übergeordnetes Werk:	volume:2023 ; year:2023 ; number:1 ; day:17 ; month:11

Links:	Volltext

DOI / URN:	10.1186/s13660-023-03063-4

Katalog-ID:	SPR05377938X

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allfields	10.1186/s13660-023-03063-4 doi (DE-627)SPR05377938X (SPR)s13660-023-03063-4-e DE-627 ger DE-627 rakwb eng Guo, Xiaoxia verfasserin aut Noise-induced transitions in an avian influenza model with the Allee effect 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. Stochastic avian influenza model (dpeaa)DE-He213 Allee effect (dpeaa)DE-He213 Noise-induced transition (dpeaa)DE-He213 Stochastic sensitivity (dpeaa)DE-He213 Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2023(2023), 1 vom: 17. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2023 year:2023 number:1 day:17 month:11 https://dx.doi.org/10.1186/s13660-023-03063-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 17 11
spelling	10.1186/s13660-023-03063-4 doi (DE-627)SPR05377938X (SPR)s13660-023-03063-4-e DE-627 ger DE-627 rakwb eng Guo, Xiaoxia verfasserin aut Noise-induced transitions in an avian influenza model with the Allee effect 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. Stochastic avian influenza model (dpeaa)DE-He213 Allee effect (dpeaa)DE-He213 Noise-induced transition (dpeaa)DE-He213 Stochastic sensitivity (dpeaa)DE-He213 Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2023(2023), 1 vom: 17. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2023 year:2023 number:1 day:17 month:11 https://dx.doi.org/10.1186/s13660-023-03063-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 17 11
allfields_unstemmed	10.1186/s13660-023-03063-4 doi (DE-627)SPR05377938X (SPR)s13660-023-03063-4-e DE-627 ger DE-627 rakwb eng Guo, Xiaoxia verfasserin aut Noise-induced transitions in an avian influenza model with the Allee effect 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. Stochastic avian influenza model (dpeaa)DE-He213 Allee effect (dpeaa)DE-He213 Noise-induced transition (dpeaa)DE-He213 Stochastic sensitivity (dpeaa)DE-He213 Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2023(2023), 1 vom: 17. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2023 year:2023 number:1 day:17 month:11 https://dx.doi.org/10.1186/s13660-023-03063-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 17 11
allfieldsGer	10.1186/s13660-023-03063-4 doi (DE-627)SPR05377938X (SPR)s13660-023-03063-4-e DE-627 ger DE-627 rakwb eng Guo, Xiaoxia verfasserin aut Noise-induced transitions in an avian influenza model with the Allee effect 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. Stochastic avian influenza model (dpeaa)DE-He213 Allee effect (dpeaa)DE-He213 Noise-induced transition (dpeaa)DE-He213 Stochastic sensitivity (dpeaa)DE-He213 Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2023(2023), 1 vom: 17. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2023 year:2023 number:1 day:17 month:11 https://dx.doi.org/10.1186/s13660-023-03063-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 17 11
allfieldsSound	10.1186/s13660-023-03063-4 doi (DE-627)SPR05377938X (SPR)s13660-023-03063-4-e DE-627 ger DE-627 rakwb eng Guo, Xiaoxia verfasserin aut Noise-induced transitions in an avian influenza model with the Allee effect 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. Stochastic avian influenza model (dpeaa)DE-He213 Allee effect (dpeaa)DE-He213 Noise-induced transition (dpeaa)DE-He213 Stochastic sensitivity (dpeaa)DE-He213 Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2023(2023), 1 vom: 17. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2023 year:2023 number:1 day:17 month:11 https://dx.doi.org/10.1186/s13660-023-03063-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 17 11
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source	Enthalten in Journal of inequalities and applications 2023(2023), 1 vom: 17. Nov. volume:2023 year:2023 number:1 day:17 month:11
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author	Guo, Xiaoxia
spellingShingle	Guo, Xiaoxia misc Stochastic avian influenza model misc Allee effect misc Noise-induced transition misc Stochastic sensitivity Noise-induced transitions in an avian influenza model with the Allee effect
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topic_title	Noise-induced transitions in an avian influenza model with the Allee effect Stochastic avian influenza model (dpeaa)DE-He213 Allee effect (dpeaa)DE-He213 Noise-induced transition (dpeaa)DE-He213 Stochastic sensitivity (dpeaa)DE-He213
topic	misc Stochastic avian influenza model misc Allee effect misc Noise-induced transition misc Stochastic sensitivity
topic_unstemmed	misc Stochastic avian influenza model misc Allee effect misc Noise-induced transition misc Stochastic sensitivity
topic_browse	misc Stochastic avian influenza model misc Allee effect misc Noise-induced transition misc Stochastic sensitivity
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title	Noise-induced transitions in an avian influenza model with the Allee effect
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title_full	Noise-induced transitions in an avian influenza model with the Allee effect
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title_sort	noise-induced transitions in an avian influenza model with the allee effect
title_auth	Noise-induced transitions in an avian influenza model with the Allee effect
abstract	Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. © The Author(s) 2023
abstractGer	Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. © The Author(s) 2023
abstract_unstemmed	Abstract This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$. In the stochastic case, a new dynamic phenomenon of noise-induced transition can be observed, that is, the stochastic trajectory can exit from the neighborhood of the epidemic equilibrium and pass into the vicinity of the trivial equilibrium. More precisely, in this paper, based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the noise intensity leading to extinction. We also propose useful control strategies to prevent the noise-induced extinction. © The Author(s) 2023
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title_short	Noise-induced transitions in an avian influenza model with the Allee effect
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