Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control

In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stabili...
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Autor*in:	Kottakkaran Sooppy Nisar [verfasserIn] Kumararaju Logeswari [verfasserIn] Veliappan Vijayaraj [verfasserIn] Haci Mehmet Baskonus [verfasserIn] Chokkalingam Ravichandran [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	fractional calculus stability analysis Atangana–Baleanu fractional derivative optimal control mathematical models yellow virus

Übergeordnetes Werk:	In: Fractal and Fractional - MDPI AG, 2018, 6(2022), 2, p 61
Übergeordnetes Werk:	volume:6 ; year:2022 ; number:2, p 61

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/fractalfract6020061

Katalog-ID:	DOAJ017511100

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650		4	\|a fractional calculus
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allfields	10.3390/fractalfract6020061 doi (DE-627)DOAJ017511100 (DE-599)DOAJ6e97eb7d8b4d4e4583a25d8e4057d4dc DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Kottakkaran Sooppy Nisar verfasserin aut Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants. fractional calculus stability analysis Atangana–Baleanu fractional derivative optimal control mathematical models yellow virus Thermodynamics Mathematics Analysis Kumararaju Logeswari verfasserin aut Veliappan Vijayaraj verfasserin aut Haci Mehmet Baskonus verfasserin aut Chokkalingam Ravichandran verfasserin aut In Fractal and Fractional MDPI AG, 2018 6(2022), 2, p 61 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:6 year:2022 number:2, p 61 https://doi.org/10.3390/fractalfract6020061 kostenfrei https://doaj.org/article/6e97eb7d8b4d4e4583a25d8e4057d4dc kostenfrei https://www.mdpi.com/2504-3110/6/2/61 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 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 6 2022 2, p 61
spelling	10.3390/fractalfract6020061 doi (DE-627)DOAJ017511100 (DE-599)DOAJ6e97eb7d8b4d4e4583a25d8e4057d4dc DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Kottakkaran Sooppy Nisar verfasserin aut Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants. fractional calculus stability analysis Atangana–Baleanu fractional derivative optimal control mathematical models yellow virus Thermodynamics Mathematics Analysis Kumararaju Logeswari verfasserin aut Veliappan Vijayaraj verfasserin aut Haci Mehmet Baskonus verfasserin aut Chokkalingam Ravichandran verfasserin aut In Fractal and Fractional MDPI AG, 2018 6(2022), 2, p 61 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:6 year:2022 number:2, p 61 https://doi.org/10.3390/fractalfract6020061 kostenfrei https://doaj.org/article/6e97eb7d8b4d4e4583a25d8e4057d4dc kostenfrei https://www.mdpi.com/2504-3110/6/2/61 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 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 6 2022 2, p 61
allfields_unstemmed	10.3390/fractalfract6020061 doi (DE-627)DOAJ017511100 (DE-599)DOAJ6e97eb7d8b4d4e4583a25d8e4057d4dc DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Kottakkaran Sooppy Nisar verfasserin aut Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants. fractional calculus stability analysis Atangana–Baleanu fractional derivative optimal control mathematical models yellow virus Thermodynamics Mathematics Analysis Kumararaju Logeswari verfasserin aut Veliappan Vijayaraj verfasserin aut Haci Mehmet Baskonus verfasserin aut Chokkalingam Ravichandran verfasserin aut In Fractal and Fractional MDPI AG, 2018 6(2022), 2, p 61 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:6 year:2022 number:2, p 61 https://doi.org/10.3390/fractalfract6020061 kostenfrei https://doaj.org/article/6e97eb7d8b4d4e4583a25d8e4057d4dc kostenfrei https://www.mdpi.com/2504-3110/6/2/61 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 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 6 2022 2, p 61
allfieldsGer	10.3390/fractalfract6020061 doi (DE-627)DOAJ017511100 (DE-599)DOAJ6e97eb7d8b4d4e4583a25d8e4057d4dc DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Kottakkaran Sooppy Nisar verfasserin aut Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants. fractional calculus stability analysis Atangana–Baleanu fractional derivative optimal control mathematical models yellow virus Thermodynamics Mathematics Analysis Kumararaju Logeswari verfasserin aut Veliappan Vijayaraj verfasserin aut Haci Mehmet Baskonus verfasserin aut Chokkalingam Ravichandran verfasserin aut In Fractal and Fractional MDPI AG, 2018 6(2022), 2, p 61 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:6 year:2022 number:2, p 61 https://doi.org/10.3390/fractalfract6020061 kostenfrei https://doaj.org/article/6e97eb7d8b4d4e4583a25d8e4057d4dc kostenfrei https://www.mdpi.com/2504-3110/6/2/61 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 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 6 2022 2, p 61
allfieldsSound	10.3390/fractalfract6020061 doi (DE-627)DOAJ017511100 (DE-599)DOAJ6e97eb7d8b4d4e4583a25d8e4057d4dc DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Kottakkaran Sooppy Nisar verfasserin aut Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants. fractional calculus stability analysis Atangana–Baleanu fractional derivative optimal control mathematical models yellow virus Thermodynamics Mathematics Analysis Kumararaju Logeswari verfasserin aut Veliappan Vijayaraj verfasserin aut Haci Mehmet Baskonus verfasserin aut Chokkalingam Ravichandran verfasserin aut In Fractal and Fractional MDPI AG, 2018 6(2022), 2, p 61 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:6 year:2022 number:2, p 61 https://doi.org/10.3390/fractalfract6020061 kostenfrei https://doaj.org/article/6e97eb7d8b4d4e4583a25d8e4057d4dc kostenfrei https://www.mdpi.com/2504-3110/6/2/61 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 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 6 2022 2, p 61
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callnumber-first	Q - Science
author	Kottakkaran Sooppy Nisar
spellingShingle	Kottakkaran Sooppy Nisar misc QC310.15-319 misc QA1-939 misc QA299.6-433 misc fractional calculus misc stability analysis misc Atangana–Baleanu fractional derivative misc optimal control misc mathematical models misc yellow virus misc Thermodynamics misc Mathematics misc Analysis Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control
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topic_title	QC310.15-319 QA1-939 QA299.6-433 Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control fractional calculus stability analysis Atangana–Baleanu fractional derivative optimal control mathematical models yellow virus
topic	misc QC310.15-319 misc QA1-939 misc QA299.6-433 misc fractional calculus misc stability analysis misc Atangana–Baleanu fractional derivative misc optimal control misc mathematical models misc yellow virus misc Thermodynamics misc Mathematics misc Analysis
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title	Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control
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title_full	Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control
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title_sort	fractional order modeling the gemini virus in <i<capsicum annuum</i< with optimal control
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title_auth	Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control
abstract	In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants.
abstractGer	In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants.
abstract_unstemmed	In this article, a fractional model of the <i<Capsicum annuum</i< (<i<C. annuum</i<) affected by the yellow virus through whiteflies (<i<Bemisia tabaci</i<) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious <i<B. tabaci</i< and <i<C. annuum</i< by applying the <i<Verticillium lecanii</i< (<i<V. lecanii</i<) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using <i<V. lecanni</i<. The results show that using 60% of <i<V. lecanni</i< will control the spread of the yellow virus in infected <i<B. tabaci</i< and <i<C. annuum</i< in 10 days, which helps farmers to afford the costs of cultivating chili plants.
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title_short	Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control
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Fractional Order Modeling the Gemini Virus in <i<Capsicum annuum</i< with Optimal Control

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