Stochastic dynamical analysis for the complex infectious disease model driven by multisource noises
This paper mainly studies the dynamical behavior of the infectious disease model affected by white noise and Lévy noise. First, a stochastic model of infectious disease with secondary vaccination affected by noises is established. Besides, the existence and uniqueness of the global positive solution...
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| Veröffentlicht in: | PloS one 2024-01, Vol.19 (1), p.e0296183-e0296183 |
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| description | This paper mainly studies the dynamical behavior of the infectious disease model affected by white noise and Lévy noise. First, a stochastic model of infectious disease with secondary vaccination affected by noises is established. Besides, the existence and uniqueness of the global positive solution for the stochastic model are proved based on stochastic differential equations and Lyapunov function, then the asymptotic behavior of the disease-free equilibrium point is studied. Moreover, the sufficient conditions for the extinction of the disease are obtained and the analysis showed that different noise intensity could affect the extinction of infectious disease on different degree. Finally, the theoretical results are verified by numerical simulation and some suggestions have been put forward on how to prevent the spread of diseases are presented. |
| doi_str_mv | 10.1371/journal.pone.0296183 |
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First, a stochastic model of infectious disease with secondary vaccination affected by noises is established. Besides, the existence and uniqueness of the global positive solution for the stochastic model are proved based on stochastic differential equations and Lyapunov function, then the asymptotic behavior of the disease-free equilibrium point is studied. Moreover, the sufficient conditions for the extinction of the disease are obtained and the analysis showed that different noise intensity could affect the extinction of infectious disease on different degree. Finally, the theoretical results are verified by numerical simulation and some suggestions have been put forward on how to prevent the spread of diseases are presented.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0296183</identifier><identifier>PMID: 38175851</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Analysis ; Asymptomatic ; Asymptotic properties ; Biology and Life Sciences ; Cholera ; Communicable diseases ; COVID-19 vaccines ; Development and progression ; Differential equations ; Disease transmission ; Engineering and Technology ; Epidemics ; Equilibrium ; Extinction ; Infections ; Infectious diseases ; Influence ; Liapunov functions ; Mathematical models ; Medical research ; Medicine and Health Sciences ; Medicine, Experimental ; Methods ; Mortality ; Noise ; Noise intensity ; Numerical analysis ; Numerical simulations ; Parameter estimation ; Simulation methods ; Stochastic models ; Stochasticity ; Vaccination ; White noise</subject><ispartof>PloS one, 2024-01, Vol.19 (1), p.e0296183-e0296183</ispartof><rights>Copyright: © 2024 Jian et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</rights><rights>COPYRIGHT 2024 Public Library of Science</rights><rights>2024 Jian et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2024 Jian et al 2024 Jian et al</rights><rights>2024 Jian et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. 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First, a stochastic model of infectious disease with secondary vaccination affected by noises is established. Besides, the existence and uniqueness of the global positive solution for the stochastic model are proved based on stochastic differential equations and Lyapunov function, then the asymptotic behavior of the disease-free equilibrium point is studied. Moreover, the sufficient conditions for the extinction of the disease are obtained and the analysis showed that different noise intensity could affect the extinction of infectious disease on different degree. Finally, the theoretical results are verified by numerical simulation and some suggestions have been put forward on how to prevent the spread of diseases are presented.</description><subject>Analysis</subject><subject>Asymptomatic</subject><subject>Asymptotic properties</subject><subject>Biology and Life Sciences</subject><subject>Cholera</subject><subject>Communicable diseases</subject><subject>COVID-19 vaccines</subject><subject>Development and progression</subject><subject>Differential equations</subject><subject>Disease transmission</subject><subject>Engineering and Technology</subject><subject>Epidemics</subject><subject>Equilibrium</subject><subject>Extinction</subject><subject>Infections</subject><subject>Infectious diseases</subject><subject>Influence</subject><subject>Liapunov functions</subject><subject>Mathematical models</subject><subject>Medical research</subject><subject>Medicine and Health Sciences</subject><subject>Medicine, 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affected by white noise and Lévy noise. First, a stochastic model of infectious disease with secondary vaccination affected by noises is established. Besides, the existence and uniqueness of the global positive solution for the stochastic model are proved based on stochastic differential equations and Lyapunov function, then the asymptotic behavior of the disease-free equilibrium point is studied. Moreover, the sufficient conditions for the extinction of the disease are obtained and the analysis showed that different noise intensity could affect the extinction of infectious disease on different degree. Finally, the theoretical results are verified by numerical simulation and some suggestions have been put forward on how to prevent the spread of diseases are presented.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>38175851</pmid><doi>10.1371/journal.pone.0296183</doi><tpages>e0296183</tpages><orcidid>https://orcid.org/0000-0003-2810-586X</orcidid><orcidid>https://orcid.org/0009-0000-2444-8916</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Analysis Asymptomatic Asymptotic properties Biology and Life Sciences Cholera Communicable diseases COVID-19 vaccines Development and progression Differential equations Disease transmission Engineering and Technology Epidemics Equilibrium Extinction Infections Infectious diseases Influence Liapunov functions Mathematical models Medical research Medicine and Health Sciences Medicine, Experimental Methods Mortality Noise Noise intensity Numerical analysis Numerical simulations Parameter estimation Simulation methods Stochastic models Stochasticity Vaccination White noise |
| title | Stochastic dynamical analysis for the complex infectious disease model driven by multisource noises |
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