Dynamic analysis and optimal control of a class of SISP respiratory diseases

References

• C.J. Browne, X. Pan, H. Shu, and X.S. Wang, Resonance of periodic combination antiviral therapy and intracellular delays in virus model, Bullet. Math. Biol. 82(2) (2020), pp. 1–29.
   Web of Science ®Google Scholar
• S. Cai, Q. Ma, and S. Wang, Impact of air pollution control policies on future PM2.5 concentrations and their source contributions in China, J. Environ. Manag. 227 (2018), pp. 124–133.
   PubMed Web of Science ®Google Scholar
• Y. Cai, S. Zhao, Y. Niu, Z. Peng, K. Wang, D. He, and W. Wang, Modelling the effects of the contaminated environments on tuberculosis in Jiangsu, China, J. Theor. Biol. 508 (2020), pp. 110453.
   Google Scholar
• D. Chen, Y. Xiao, and S. Tang, Air quality index induced nonsmooth system for respiratory infection, J. Theoret. Biol. 460 (2018), pp. 160–169.
   PubMed Web of Science ®Google Scholar
• P.H. Chowdhury, H. Okano, A. Honda, H. Kudou, G. Kitamura, S. Ito, K. Ueda, and H. Takano, Aqueous and organic extract of PM2.5 collected in different seasons and cities of Japan differently affect respiratory and immune systems, Environmental Pollution 235 (2017), pp. 223–234.
   Web of Science ®Google Scholar
• C.T. Codeco, Endemic and epidemic dynamics of cholera: The role of the aquatic reservoir, BMC Infectious Diseases 1(1) (2001), pp. 1.
   PubMedGoogle Scholar
• M. Cohen, A.J. Brauer, R. Burnett, H.R. Anderson, J. Frostad, K. Estep, K. Balakrishnan, B. Brunekreef, L. Dandona, R. Dandona, and V. Feigin, Estimates and 25-year trends of the global burden of disease attributable to ambient air pollution: An analysis of data from the global burden of diseases study 2015, Lancet. 389(10082) (2018), pp. 1907–1918.
   Web of Science ®Google Scholar
• C. Ding, Z. Qiu, and H. Zhu, Multi-host transmission dynamics of schistosomiasis and its optimal control, Math. Biosci. Eng. 12(5) (2015), pp. 983–1006.
   PubMed Web of Science ®Google Scholar
• J. Dong, Y. Wang, J. Wang, and H. Bao, Association between atmospheric PM2.5 and daily outpatient visits for children's respiratory diseases in Lanzhou, Int. J. Biometeorol. 2021(3) (2021), pp. 1–11.
   Google Scholar
• G.B. Hamra, N. Guha, A. Cohen, F. Laden, O. Raaschou-Nielsen,, J.M. Samet,, P. Vineis, F. Forastiere, P. Saldiva, T. Yorifuji, and D. Loomis, Outdoor particulate matter exposure and lung cancer: A systematic review and meta-analysis, Environmental Health Perspectives 122(9) (2014), pp. 906–911.
   PubMed Web of Science ®Google Scholar
• S. He, S. Tang, Y. Xiao, and R.A. Cheke, Stochastic modelling of air pollution impacts on respiratory infection risk, Bullet. Math. Biol. 80 (2018), pp. 3127–3153.
   PubMed Web of Science ®Google Scholar
• P.K. Hopke, D. Croft, W. Zhang, S. Lin, M. Masiol, S. Squizzato, S.W. Thurston, E. van Wijngaarden, M.J. Utell, and D.Q. Rich, Changes in the acute response of respiratory diseases to PM2.5 in New York state from 2005 to 2016, Science of The Total Environment 677 (2019), pp. 328–339.
   PubMed Web of Science ®Google Scholar
• H.F. Huo, R. Chen, and X.Y. Wang, Modelling and stability of HIV/AIDS epidemic model with treatment, Appl. Math. Model. 40(13–14) (2016), pp. 6550–6559.
   Web of Science ®Google Scholar
• Institute for Health Metrics and Evaluation(IHME), GBD 2017, ambient particulate matter pollution, both sexes, all ages, 2017, deaths/DALYs [EB/OL], (2020-02-07) [2020-03016], Available at https://vizhub.healthdata.org/gbd-compare/.
   Google Scholar
• R. Jan and Y. Xiao, Effect of partial immunity on transmission dynamics of dengue disease with optimal control, Math. Meth. Appl. Sci. 42 (2019), pp. 1967–1983.
   Web of Science ®Google Scholar
• S. Jing, H. Huo, and H. Xiang, Modeling the effects of meteorological factors and unreported cases on seasonal influenza outbreaks in Gansu Province, China, Bullet. Math. Biol. 82(6) (2020), pp. 73.
   PubMed Web of Science ®Google Scholar
• R.I. Joh, W. Hao, H. Weiss, and J.S. Weitz, Dynamics of indirectly transmitted infectious diseases with immunological threshold, Bullet. Math. Biol. 71(4) (2008), pp. 845–862.
   PubMed Web of Science ®Google Scholar
• A. Kumar, P.K. Srivastava, and R.P. Gupta, Nonlinear dynamics of infectious diseases via information-induced vaccination and saturated treatment – Science Direct, Math. Comput. Simul. 157 (2019), pp. 77–99.
   Web of Science ®Google Scholar
• J.D. Kong, W. Davis, and W. Hao, Dynamics of a cholera transmission model with immunological threshold and natural phage control in reservoir, Bullet. Math. Biol. 76(8) (2014), pp. 2025–2051.
   PubMed Web of Science ®Google Scholar
• J.D. Kong, W. Davis, X. Li, and H. Wang, Stability and sensitivity analysis of the iSIR model for indirectly transmitted infectious diseases with immunological threshold, SIAM J. Appl. Math. 74(5) (2014), pp. 1418–1441.
   Web of Science ®Google Scholar
• J. Li, Z. Teng, G. Wang, L. Zhang, and C. Hu, Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment, Chaos, Solitons and Fractals: Appl. Sci. Eng.: An Interdisciplinary J. Nonlinear Sci. 99 (2017), pp. 63–71.
   Google Scholar
• Y. Liao, J. Sun, Z. Qian, S. Mei, Y. Li, Y. Lu, S.E. McMillin, H. Lin, and L. Lang, Modification by seasonal influenza and season on the association between ambient air pollution and child respiratory diseases in Shenzhen, China, Atmospheric Environment 234 (2020), pp. 117621.
   Web of Science ®Google Scholar
• S Lim, T Vos, and A Flaxman, A comparative risk assessment of burden of disease and injury attributable to 67 risk factors and risk factor clusters in 21 regions, 1990-2010: A systematic analysis for the global burden of disease study 2010, Lancet 380(9859) (2012), pp. 2224–2260.
   PubMed Web of Science ®Google Scholar
• Y. Liu and C.K. Ao, Effect of air pollution on health care expenditure: Evidence from respiratory diseases, Health Economics 30(4) (2021), pp. 858–875.
   PubMed Web of Science ®Google Scholar
• M. Lu, J. Huang, S. Ruan, and P. Yu, Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized non-monotone incidence rate, J. Dyn. Differ. Equ. 3 (2020), pp. 1–37.
   Google Scholar
• S. Marino, I.B. Hogue, C.J. Ray, and D.E. Kirschner, A methodology for performing global uncertainty and sensitivity analysis in systems biology, J. Theor. Biol. 254(1) (2009), pp. 178–196.
   Web of Science ®Google Scholar
• Ministry of Environmental Protection, Air quality and quantity of heavy point area and 74 cities in 20 and 13 years[EB, OL] (2014-03-25) [2016-05-26], Available at http://www.zhb.gov.cn/gkml/hbb//t20140325269648.htm.
   Google Scholar
• M. Pascual, M.J. Bouma, and A.P. Dobson, Cholera and climate: Revisiting the quantitative evidence, Microbes and Infection 4(2) (2002), pp. 237–245.
   PubMed Web of Science ®Google Scholar
• D.Y.H. Pui, S.C. Chen, and Z. Zuo, PM 2.5 in China: measurements, sources, visibility and health effects, and mitigation, Particuology 13(1) (2014), pp. 1–26.
   Google Scholar
• L. Qi, M. Xue, J. Cui, Q. Wang, and T. Wang, Schistosomiasis transmission model and its control in Anhui province, Bullet. Math. Biol. 80 (2018), pp. 2435–2451.
   PubMed Web of Science ®Google Scholar
• D.E. Schraufnagel, Global alliance against chronic respiratory diseases symposium on air pollution: Overview and highlights, Chinese Med. J. 133(13) (2020), pp. 1–6.
   PubMed Web of Science ®Google Scholar
• H.A. Shahriyari, Y Nikmanesh, S Jalali, N. Tahery, A. Zhiani Fard, N. Hatamzadeh, K. Zarea, M. Cheraghi,, and M.J. Mohammadi, Air pollution and human health risks: Mechanisms and clinical manifestations of cardiovascular and respiratory diseases, Toxin Reviews 2021(12) (2021), pp. 1–12.
   Google Scholar
• L. Shi, X. Feng, L. Qi, Y. Xu, and S. Zhai, Modeling and predicting the influence of PM on children's respiratory diseases, Int. J. Bifurc. Chaos. 30(15) (2020), pp. 2050235.
   Google Scholar
• P. Song and Y. Xiao, Analysis of an epidemic system with two response delays in media impact function, Bullet. Math. Biol. 81 (2019), pp. 1582–1612.
   PubMed Web of Science ®Google Scholar
• S. Tang, Y. Xiao, L. Yuan, R.A. Cheke, and J. Wu, Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China, J. Theor. Biol. 295(295) (2012), pp. 47–58.
   PubMedGoogle Scholar
• S. Tang, Q. Yan, W. Shi, X. Wang, X. Sun,, P. Yu,, J. Wu, and Y. Xiao, Measuring the impact of air pollution on respiratory infection risk in China, Environmental Pollution 232(2018) (2018), pp. 477–486.
   PubMedGoogle Scholar
• X. Wang, H. Peng, B. Shi, D. Jiang, S. Zhang, and B. Chen, Optimal vaccination strategy of a constrained time-varying SEIR epidemic model-Science direct, Commun. Nonlinear Sci. Numer. Simul. 67 (2019), pp. 37–48.
   Web of Science ®Google Scholar
• X. Wang, S. Tang, J. Wu, Y. Xiao, and R.A. Cheke, A combination of climatic conditions determines major within-season dengue outbreaks in Guangdong Province, China, Parasites and Vectors 12(1) (2019), pp. 1–10.
   PubMedGoogle Scholar
• J. Wang, Y. Xiao, and R.A. Cheke, Modelling the effects of contaminated environments on HFMD infections in mainland China, Biosystems 140 (2016), pp. 1–7.
   PubMed Web of Science ®Google Scholar
• World Health Organization. Country estimates for PM2.5 (2016), (2020, December 9), Available at https://www.who.int/publications/m/item/country-estimates-for-pm-2.5-(2016).
   Google Scholar
• W. Wu, M. Zhang, and Y. Ding, Exploring the effect of economic and environment factors on PM2.5 concentration: A case study of the Beijing-Tianjin-Hebei region, J. Environ. Manag. 268 (2020), pp. 110703.
   Google Scholar
• S. Xia, D. Huang, H. Jia, Y. Zhao, N. Li, M.Q. Mao, H. Lin, Y.X. Li,, W. He,, and L. Zhao, Relationship between atmospheric pollutants and risk of death caused by cardiovascular and respiratory diseases and malignant tumors in Shenyang, China, from 2013 to 2016: an ecological research, Chinese Med. J. 132(19) (2019), pp. 2269–2277.
   PubMed Web of Science ®Google Scholar
• Y. Xiao, S. Tang, and J. Wu, Media impact switching surface during an infectious disease outbreak, Sci. Rep. 5(4) (2015), pp. 7838.
   PubMedGoogle Scholar
• Y. Xue, J. Chu, Y. Li, and X. Kong, The influence of air pollution on respiratory microbiome: A link to respiratory disease, Toxicology Letters 334 (2020), pp. 14–20.
   PubMed Web of Science ®Google Scholar
• Q. Yan, S. Tang, S. Gabriele, and J. Wu, Media coverage and hospital notifications: Correlation analysis and optimal media impact duration to manage a pandemic, J. Theor. Biol. 390 (2016), pp. 1–13.
   PubMed Web of Science ®Google Scholar
• Q. Yan, S. Tang, and Y. Xiao, Impact of individual behavior change on the spread of emerging infectious diseases, Stat. Med. 37(6) (2018), pp. 948.
   PubMed Web of Science ®Google Scholar
• L. Yang, S. Cheng, X. Wang, W. Nie, P. Xu, X. Gao, C. Yuan, and W. Wang, Source identification and health impact of PM2.5 in a heavily polluted urban atmosphere in China, Atmospheric Environment 75 (2013), pp. 265–269.
   Web of Science ®Google Scholar
• Y. Yang, S. Tang, X. Ren, H. Zhao, and C. Guo, Global stability and optimal control for a tuberculosis model with vaccination and treatment, Discrete Continuous Dyn. Syst.-Ser. B (DCDS-B) 21(3) (2017), pp. 1009–1022.
   Web of Science ®Google Scholar
• Y. Zhang, C. Shuai, J. Bian, X. Chen, Y. Wu,, and L. Shen, Socioeconomic factors of PM2.5 concentrations in 152 Chinese cities: Decomposition analysis using LMDI, J. Clean. Prod. 218(1) (2019), pp. 96–107.
   Google Scholar
• W. Zhang, J. Zhang, Y. Wu, and L. Li, Dynamical analysis of the SEIB model for brucellosis transmission to the dairy cows with immunological threshold, Complexity 4 (2019), pp. 1–13.
   Google Scholar
• Y. Zhao, M. Li, and S. Yuan, Analysis of transmission and control of tuberculosis in mainland China, 2005-2016, based on the age-structure mathematical model, Int. J. Environ. Res. Public Health 14(10) (2017), pp. 1192.
   PubMed Web of Science ®Google Scholar
• X. Zhou, X. Shi, and J. Cui, Dynamic behavior of a delay cholera model with constant infectious period, J. Appl. Anal. Comput. 10(2) (2020), pp. 598–623.
   Google Scholar
• H. Zhu, Y. Wu, X. Kuang, H. Liu, Z. Guo, J. Qian, D. Wang, M. Wang, H. Chu, W. Gong, and Z.Zhang, Effect of PM2.5 exposure on circulating fibrinogen and IL-6 levels: A systematic review and meta-analysis, Chemosphere 271 (3), (2021), pp. 129565.
   Google Scholar
• M.A. Zoran, R.S. Savastru, D.M. Savastru, and M.N Tautan, Assessing the relationship between surface levels of PM2.5 and PM10 particulate matter impact on COVID-19 in Milan, Italy, Sci. Total Environ. 738 (2020), pp. 139825.
   PubMed Web of Science ®Google Scholar