Schinaia, Giuseppe (2018): Epidemics and Local Demographic Dynamics.
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Abstract
The investigation of the interactions between the demographic dynamics of a healthy population and the perturbations induced in it by the progession of an epidemics is the object of this study. A SIR epidemic model is progressively enriched with demographic features, such as birth-death imbalance, disease-induced deaths, vertical transmission and infectious immigration and its equilibria are investigated. A statistical setting is then established in order to test the relevance of the demographic features of the various modelling hypotheses.
Item Type: | MPRA Paper |
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Original Title: | Epidemics and Local Demographic Dynamics |
Language: | English |
Keywords: | demographic dynamics; SIR epidemic model; basic reproduction number; immigration; vertical transmission; disease-free equilibrium; estimation; hypothesis testing |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium I - Health, Education, and Welfare > I1 - Health |
Item ID: | 113062 |
Depositing User: | prof Giuseppe Schinaia |
Date Deposited: | 13 May 2022 08:12 |
Last Modified: | 13 May 2022 08:12 |
References: | G Bijwaard (2008) Modeling Migration Dynamics of Immigrants Tinbergen Institute Discussion Paper TI 2008-070/4 M Coffee, MN Lurie, GP Garnett, 2007 Modelling the impact of migration on the HIV epidemic in South Africa AIDS 21 (3) S Cui, M Bai, 2014 Mathematical analysis of population migration and its effects to spread of epidemics arXiv preprint arXiv:1403.5351 KD Deane, JO Parkhurst et al., 2010 Linking migration, mobility and HIV Tropical Medicine and International Health 15 (12) J Demongeot, J Gaudart, J Mintsa et al., 2012 Demography in epidemics modelling Communications on Pure and Applied Analysis 11 (1) O Diekmann, JAP Heesterbeek, 2000 Mathematical Epidemiology of Infectious Diseases. Wiley, New York. EP Fenichel, C Castillo-Chavez, 2011 Adaptive human behavior in epidemiological models Proceedings of the National Academy of Sciences 108 (15) J Gaudart, M Ghassani, J Mintsa, M Rachdi, J Waku et al., 2010 Demography and diffusion in epidemics: malaria and black death spread Acta Biotheoretica 58 H Guo, M Yi Li, 2012 Impacts of migration and immigration on disease transmission dynamics in heterogeneous populations Discrete and Continuous Dynamical Systems - Series B 17 (7) JM Hyman, 2005 Differential susceptibility epidemic models Journal of mathematical biology 50 LS Liebovitch, IB Schwartz 2004 Migration induced epidemics: dynamics of flux-based multipatch models Physics Letters A 332 (3–4) F Milner, R Zhao, 2008 S-I-R Model with Directed Spatial Diffusion Mathematical Population Studies 15 (3) GQ Sun, QX Liu, Z Jin, A Chakraborty, BL Li, 2010. Influence of infection rate and migration on extinction of disease in spatial epidemics Journal of Theoretical Biology 264 (1) D Tian, C Liu, Z Sheng, M Chen, Y Wang, 2017 Analytical model of spread of epidemics in open finite regions IEEE Access 5 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/113062 |