Smoking epidemic eradication in a eco-epidemiological dynamical model

Anderson, 1979, Population biology of infectious diseases. Part I, Nature, 280, 361, 10.1038/280361a0 Anderson, 1986, The invasion, persistence and spread of infectious diseases within animal and plant communities., Philosophical Transactions of the Royal Society of London, Series B-Biological Sciences, 314, 533 Barendregt, 1997, The health care costs of smoking., The New England Journal of Medicine, 337, 1052, 10.1056/NEJM199710093371506 Bate, 2013, Predator–prey oscillations can shift when diseases become endemic, Journal of Theoretical Neurobiology, 316, 1 Van Bodegom, 2010 Bazykin, 1998 Bhunu, 2011, A theoretical assessment of the effects of smoking on the transmission dynamics of tuberculosis, Bulletin of Mathematical Biology, 73, 1333, 10.1007/s11538-010-9568-6 Castillo-Garsow, C., Jordán-Salivia, G., Rodriguez-Herrera, A., 1997. Mathematical models for the dynamics of tobacco use, recovery and relapse. Technical Report Series, BU-1505-M. Department of Biometrics, Cornell University. Retrieved via http://mtbi.asu.edu/files/Mathematical_Models_for_Dynamics_of_Tobacco_Use_Recovery_Relapse.pdf. Caswell, 2001 StatLine, the electronic database of the CBS (Central Bureau for Statistics in the Netherlands), Heerlen, Den Haag. Retrieved via http://www.cbs.nl/en-GB. Diekmann, 2000 Doedel, 2009 Doll, 2004, Mortality in relation to smoking: 50 years’ observations on male British doctors, British Medical Journal, 10.1136/bmj.38142.554479.AE Feenstra, 2001, The impact of aging and smoking on the future burden of chronic obstructive pulmonary disease., American Journal of Respiratory and Critical Care Medicine, 164, 590, 10.1164/ajrccm.164.4.2003167 Feenstra, 2005, Cost-effectiveness of face-to-face smoking cessation interventions: a dynamic modeling study, Value in Health, 8, 178, 10.1111/j.1524-4733.2005.04008.x Greenhalgh, 2006, A predator–prey model with disease in the prey species only, Mathematical Methods in the Applied Sciences, 30, 911, 10.1002/mma.815 Guckenheimer, 1985 Hethcote, 2004, A predator–prey model with infected prey, Theoretical Population Biology, 66, 259, 10.1016/j.tpb.2004.06.010 Hilker, 2006, Strange periodic attractors in prey–predator system with infected prey, Mathematical Population Studies, 13, 119, 10.1080/08898480600788568 Hilker, 2008, Disease-induced stabilization of predator–prey oscillations, Journal of Theoretical Biology, 255, 299, 10.1016/j.jtbi.2008.08.018 Jha, 1999 De Jong, 1995, 84 Kermack, 1927, A contribution to the mathematical theory of epidemics, Proceedings of the Royal Society of London. Series B: Biological Sciences, 115, 700 Kooi, 1998, On the use of the logistic equation in food chains, Bulletin of Mathematical Biology, 60, 31, 10.1006/bulm.1997.0016 Kooi, 1999, Resistance of a food chain to invasion by a top predator, Mathematical Biosciences, 157, 217, 10.1016/S0025-5564(98)10083-4 Kooi, 2003, Numerical bifurcation analysis of ecosystems in a spatially homogeneous environment, Acta Biotheoretica, 51, 189, 10.1023/A:1025146207201 Kooi, 2011, Stabilization and complex dynamics in a predator–prey model with predator suffering from an infectious disease, Ecological Complexity, 8, 113, 10.1016/j.ecocom.2010.11.002 Kuznetsov, 2004 Levy, 2000, Increasing taxes as a strategy to reduce cigarette use and deaths: results of a simulation model, Preventive Medicine, 31, 279, 10.1006/pmed.2000.0696 Levy, 2005, The Healthy People 2010 smoking prevalence and tobacco control objectives: results from the SimSmoke tobacco control policy simulation model (United States), Cancer Causes and Control, 16, 359, 10.1007/s10552-004-7841-4 Li, 2011, The failure of R0, Computational and Mathematical Methods in Medicine, 17, 527610 Maplesoft, Waterloo, Ontario, Canada. http://www.maplesoft.com/. The MathWorks, Inc. http://www.mathworks.com/. May, 1987, Transmission dynamics of HIV infection, Nature, 326, 137, 10.1038/326137a0 McCallum, 2001, How should pathogen transmission be modelled?, TREE, 16, 295 Nagelhout, 2012, The effect of tobacco control policies on smoking prevalence and smoking-attributable deaths. Findings from the Netherlands SimSmoke tobacco control policy simulation model, Addiction, 107, 407, 10.1111/j.1360-0443.2011.03642.x Oliveira, 2010, Modelling disease introduction as biological control of invasive predators to preserve endangered prey3, Bulletin of Mathematical Biology, 72, 444, 10.1007/s11538-009-9454-2 Saputra, 2010, The saddle-node-transcritical bifurcation in a population model with constant rate harvesting, Dynamics of Continuous Discrete and Impulsive Systems-Series B-Mathematical Analysis, 14, 233, 10.3934/dcdsb.2010.14.233 Seydel, 2010 Sharomi, 2008, Curtailing smoking dynamics: a mathematical modeling approach, Applied Mathematics and Computation, 195, 475, 10.1016/j.amc.2007.05.012 Thieme, 2003, Mathematics in population biology Van den Driessche, 2002, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180, 29, 10.1016/S0025-5564(02)00108-6 Venturino, 2002, Epidemics in predator–prey model: disease in the predators, IMA Journal of Mathematics Applied in Medicine and Biology, 19, 185, 10.1093/imammb/19.3.185 World Health Organisation, 2008. WHO report on the global tabacco epidemic, 2008: the MPOWER package. Wiggins, 1990