Dynamical analysis of effects of human behavior on cholera in context to specific strata’s
Chetan SwarupDepartment of Basic Science College of Science and Theoretical Studies Riyadh-Male Campus Saudi Electronic University Riyadh 13316 Saudi ArabiaView full profile → , *Sudipa ChauhanCorresponding authorsudipachauhan@gmail.comAmity Institute of Applied Science Amity University Noida 201301 Uttar Pradesh IndiaView full profile → , Amulya ChaudharyAmity Institute of Applied Science Amity University Noida 201301 Uttar Pradesh IndiaView full profile → , Mamta BarikAmity Institute of Applied Science Amity University Noida 201301 Uttar Pradesh IndiaView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 31 Jan 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1650
- Pages:
- 95–119
Abstract
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References
[1] Aaron, M, Harris, A, M, M, Bhuiyan, S, Chowdhury, F, Khan, A, I, Hossain, A, Kendall, E, A, Rahman, A, LaRocque, R, C, Wrammert, J, Ryan, E, T, Qadri, F, Calderwood, S, B, Harris, J, B, Antigen-speci c memory B-cell responses to Vibrio cholerae O1 infection in Bangladesh, Infection and Immunity 77, 3850–3856 (2009).
[2] Ahmad, H, Bangladesh coastal zone management status and future trends, Journal Coastal Zone Manag. 22, 1–7 (2019).
[3] Al-Arydah, M, Mwasa, A, Tchuenche, J, M, Smith, R, J, Modeling cholera disease with education and chlorination, J. Bio. Sys. 21, 1–20 (2013).
[4] Ali, M, Nelson, A, R, Lopez, A, L, Sack, D,A, Updated Global Burden of Cholera in Endemic Countries, PLoS Neglected Tropical Disease. 9, 1–13 (2015).
[5] Barik, M, Chauhan, S, Bhatia, S, K, Misra, O, P, Understanding role of CTL cells and antibodies on a delayed HIV mathematical model: A dynamical analysis, Math. in Eng. Sc. and Aeros. 12, 109–123 (2021).
[6] Basir, F, Al, Ray, Venturino, E, Role of media coverage and delay in controlling infectious diseases: A mathematical model, App. Math. and Compu. 337, 372–385 (2018).
[7] Chauhan, S, Bhatia, S, K, Chaudhary, S, Dynamical Behaviour of Dengue: An SIR Epidemic Model, Recent Trends in Math. Mod. and High Performance Comput. Trends in Mathematics 73–94 (2021).
[8] Chen, Y, Q, Mean square exponential stability of uncertain singular stochastic systems with discrete and distributed delays, J. Interdisciplinary Maths. 20, 13–26 (2017).
[9] Chowell, G, Simonsen, L, Viboud, C, Kuang, Y, Is West Africa approaching a catastrophic phase or is the 2014 Ebola epidemic slowing down? Different models yield different answers for Liberia, PLoS Curr. 20 (2014).
[10] Collinson, S, Heffernan, J, M, Modelling the effects of media during an influenza epidemic, BMC Public Health. 376, 1–10 (2014).
[11] Cui, J, Tao, X, Zhu, H, A SIS infection model incorporating media coverage, Rocky Mountain J. Math. 38, 1323–1334 (2008).
[12] Dave, D, D, Jha, B, K, 3D mathematical modeling of calcium signaling in Alzheimer’s disease. Netw Model Anal Health Inform Bioinforma. 1 (2020).
[13] Funk, S, Salathé, M, Jansen, V, A, A, Modelling the influence of human behaviour on the spread of infectious diseases: a review, J. The Royal Soci. Int. 7, 1247–1256 (2010).
[14] Gao, D, Ruan, S, An SIS patch model with variable transmission coefficients, Math. Biosc. 232, 110–115 (2011).
[15] Gumel, A, B, McCluskey, C, C, Watmough, J, An sveir model for assessing potential impact of an imperfect anti-SARS vaccine, Math. Biosc. and Eng. 3, 485–512 (2006).
[16] Joshi, H, Jha, B, K, Fractional-order mathematical model for calcium distribution in nerve cells. Comp. Appl. Math. 56 (2020).
[17] LaSalle, J, P, The Stability of Dynamical Systems, Regional Con. Series in App. Math. SIAM Philadelphia. 21, 418–420 (1976).
[18] Li, M, Y, Muldowney, J, S, A geometric approach to global stability problems, SIAM J. on Math. Ana. 27, 1070–1083 (1996).
[19] Li, M, Y, Muldowney, J, S, On R. A. Smith’s autonomous convergence theorem, The Rocky Mountain J. Math. 25, 365–378 (1995).
[20] Liu, R, Wu, J, Zhu, H, Media/psychological impact on multiple outbreaks of emerging infectious diseases, Compu. and Math. Methods in Med. 8, 153–164 (2007).
[21] MacDonald, N, Time Lags in Biological Models”, Lecture Notes in Biomathematics 27, The Quarterly Review of Bio. 54 (1978).
[22] Martin, Jr, R, H, Logarithmic norms and projections applied to linear differential systems, J. Math. Ana. and App. 45, 432–454 (1974).
[23] McCluskey, C, C, A strategy for constructing Lyapunov functions for non-autonomous linear differential equations, Linear Algebra and its App., 409, 100–110 (2005).
[24] Misra, A, K, Sharma, A, Shukla, J, B, Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases, Math. and Comp. Model. 53, 1221–1228 (2011).
[25] Mishra, A, K, Mishra, S, N, Pathak, A, L, Misra, P, Modeling the effect of time delay in controlling the carrier dependent infectious disease – Cholera, App. Math. and Compu. 218, 11547–11557 (2012).
[26] Movahedi, F, Controlling infectious disease outbreak in a community using a new technique, J. Interdisciplinary Maths, 25, 351–372 (2022).
[27] Mummert, A, Weiss, H, Get the news out loudly and quickly: The influence of the media on limiting emerging infectious disease outbreaks, PLoS One. 8, 1–10 (2013).
[28] Mukandavire, Z, Liao, S, Wang, J, Gaff, H, Smith, D, L, Morris, J, G, Estimating the reproductive numbers for the 2008-2009 cholera outbreaks in Zimbabwe, Proc. National Academy of Sc. of the U.S.A. 108, 8767–8772 (2011).
[29] Simorangkir, G, Aldila, D, Rizka, A, Tasman, H, Nugraha, E, S, Mathematical model of tuberculosis considering observed treatment and vaccination interventions, J. Interdisciplinary Math. 24, 1717–1737 (2021).
[30] Extending the type reproduction number to infectious disease control targeting contacts between types, J. Math. Bio. 67, 1067–1082 (2013).
[31] Shuai, Z, Heesterbeek, J, A, P, van, den, Driessche, P, Extending the type reproduction number to infectious disease control targeting contacts between types, J. Math. Bio. 67, 1067–1082 (2013).
[32] Sisodiya, O, S, Misra, O, P, Dhar, J, Modeling effects of impulsive control strategies on the spread of mosquito borne disease: role of latent period. J. Appl. Math. Comput. (2021).
[33] Smith, R, A, Some applications of Hausdorff dimension inequalities for ordinary differential equations, Proc. the Royal Soci. of Edinburgh Section A. 104, 235–259 (1986).
[34] Wang, X, Gao, D, Wang, J, Influence of human behavior on cholera dynamics, Math. Biosc., 267, 41–52 (2015).
[35] Wang, Y, Wei, J, Global dynamics of a cholera model with time delay, Int. J. Biomath. 6, pp. 1250070 (2013).
[36] Wu, C, Wong, J, Y, Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number, J. Bio. Dyn. 13, 1–25 (2019).
[37] Zhao, W, Zhang, T, Chang, Z, Meng, X, Liu, Y, Dynamical Analysis of SIR Epidemic Models with Distributed Delay, J. App. Math. 2013, 1–15 (2013).
[38] Zuo, L, Liu, M, Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay, Abstract and App. Ana. 2014, 1–8 (2014).
