×

Modelling and analysis of an alcoholism model with treatment and effect of Twitter. (English) Zbl 1497.92155


MSC:

92C60 Medical epidemiology
91D30 Social networks; opinion dynamics

References:

[1] World Health Organization, Global status report on alcohol and health, 2014. Avail- able from: https://www.who.int/substance_abuse/publications/global_alcohol_report/msb_gsr_2014_1.pdf.
[2] Shanghai Institute of Environmental Economics Disaster Prevention Laboratory, China, 2018. Available from: http://www.saes.sh.cn/cn/index.asp.
[3] R. Bani, R. Hameed and S. Szymanowski, Influence of environmental factors on college alcohol drinking patterns, <i>Math. Biosci. Eng.,</i> 10(2013), 1281-1300. · Zbl 1273.92043
[4] G. Mulone and B. Straughan, Modeling binge drinking, Int. J. Biomath. 5(2012), 57-70. · Zbl 1297.92079
[5] S. Mushayabasa and C. P. Bhunu, Modelling the effects of heavy alcohol consumption on the transmission dynamics of gonorrhea, <i>Nonlinear Dynamics,</i> 66(2011), 695-706. · Zbl 1242.92041
[6] S. Lee, E. Jung and C. Castillo-Chavez, Optimal control intervention strategies in low- and high- risk problem drinking populations, <i>Socio-economic Plan. Sci.,</i> 44(2010), 258-265.
[7] A. Mubayi, P. Greenwood and C. Castillo-Chavez, The impact of relative residence times on the distribution of heavy drinkers in highly distinct environments, <i>Socio-economic Plan. Sci.,</i> 44(2010), 45-56.
[8] H. F. Huo, Y. L. Chen and H. Xiang, Stability of a binge drinking model with delay, <i>J. Biol. Dynam.,</i> 11(2017), 210-225. · Zbl 1447.92430
[9] H. Xiang, Y. P. Liu and H. F. Huo, Stability of an sairs alcoholism model on scale-free networks, <i>Physica A Statist. Mechan.,</i> 473(2017), 276-292. · Zbl 1400.92292
[10] J. Cui, Y. Sun and H. Zhu, The impact of media on the control of infectious diseases, <i>J. Dynam. Differ. Equat.,</i> 20(2008), 31-53. · Zbl 1160.34045
[11] K. A. Pawelek, A. Oeldorf-Hirsch and L. Rong, Modeling the impact of twitter on influenza epi- demics,<i> Math. Biosci. Eng.</i> 11(2014), 1337-1356. · Zbl 1333.92063
[12] H. F. Huo and X. M. Zhang, Modeling the Influence of Twitter in Reducing and Increasing the Spread of Influenza Epidemics, <i>SpringerPlus,</i> 5(2016), 88.
[13] H. F. Huo and X. M. Zhang, Complex dynamics in an alcoholism model with the impact of twitter, <i>Math. Biosci.,</i> 281(2016), 24-35. · Zbl 1348.92080
[14] H. F. Huo, P. Yang and H. Xiang, Stability and bifurcation for an seis epidemic model with the impact of media, <i>Physica A Statist. Mechan. Appl.,</i> 490(2018), 702-720. · Zbl 1514.92130
[15] X. Y. Meng and J. G. Wang, Analysis of a delayed diffusive model with Beddington-DeAngelis functional response, <i>Int. J. Biomath.,</i> doi:10.1142/S1793524519500475.
[16] H. Xiang, M. X. Zou and H. F. Huo, Modeling the Effects of Health Education and Early Ther- apy on Tuberculosis Transmission Dynamics, <i>International Journal of Nonlinear Sciences and Numerical Simulation,</i> DOI:https://doi.org/10.1515/ijnsns-2016-0084.
[17] H. Xiang, Y. Y. Wang and H. F. Huo, Analysis of the binge drinking models with demographics and nonlinear infectivity on networks, <i>J. Appl. Anal. Comput.</i> 8(2018), 1535-1554. · Zbl 1457.92183
[18] Y. L. Cai, J. J. Jiao and Z. J. Gui, Environmental variability in a stochastic epidemic model, <i>Appl. Math. Comput.,</i> 329(2018), 210-226. · Zbl 1427.34073
[19] Z. Du and Z. Feng, Existence and asymptotic behaviors of traveling waves of a modified vector- disease model, <i>Commu. Pure Appl. Anal.,</i> 17(2018), 1899-1920. · Zbl 1397.35314
[20] X. B. Zhang, Q. H. Shi and S. H. Ma, Dynamic behavior of a stochastic SIQS epidemic model with levy jumps, <i>Nonlinear Dynam.,</i> 93(2018), 1481-1493. · Zbl 1398.37096
[21] W. M. Wang, Y. l. Cai and Z. Q. Ding, A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process, <i>Physica A Statist. Mechan. Appl.,</i> 509(2018), 921- 936. · Zbl 1514.92167
[22] X. Y. Meng and Y. Q. Wu, Bifurcation and control in a singular phytoplankton-zooplankton-fish model with nonlinear fish harvesting and taxation, I<i>nt. J. Bifurc. Chaos,</i> 28(2018), 1850042. · Zbl 1388.34075
[23] National Institute on Alcohol Abuse and Alcoholism, United States of America, 2018. Available from: https://www.niaaa.nih.gov/.
[24] H. F. Huo, F. F. Cui and H. Xiang, Dynamics of an saits alcoholism model on unweighted and weighted network, <i>Physica A Statist. Mechan.,</i> 496(2018), 321-335. · Zbl 1514.92043
[25] H. F. Huo, R. Chen and X. Y. Wang, Modelling and stability of HIV/AIDS epidemic model with treatment, <i>Appl. Math. Modell.,</i> 40(2016), 6550-6559. · Zbl 1465.92119
[26] H. F. Huo and M. X. Zou, Modelling effects of treatment at home on tuberculosis transmission dynamics, <i>Appl. Math. Modell.,</i> 40(2016), 9474-9484. · Zbl 1464.92145
[27] P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equi- libria for compartmental models of disease transmission, <i>Math. Biosci.,</i> 180(2002), 29-48. · Zbl 1015.92036
[28] L. Salle and P. Joseph, The stability of dynamical systems, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1976. · Zbl 0364.93002
[29] C. Castillo-Chavez and B. Song, Dynamical models of tuberculosis and their applications, <i>Math. Biosci. Eng.,</i> 1(2004), 361-401. · Zbl 1060.92041
[30] A. D. Lê, D. Funk, S. Lo, et al., Operant self-administration of alcohol and nicotine in a preclinical model of co-abuse, <i>Psychopharmacology,</i> 231(2014), 4019-4029.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.