Analysis of an asymmetric two-strain dengue model.
暂无分享,去创建一个
[1] Willy Govaerts,et al. MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs , 2003, TOMS.
[2] N. Ferguson,et al. The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens. , 1999, Proceedings of the National Academy of Sciences of the United States of America.
[3] Bob W. Kooi,et al. Epidemiology of Dengue Fever: A Model with Temporary Cross-Immunity and Possible Secondary Infection Shows Bifurcations and Chaotic Behaviour in Wide Parameter Regions , 2008 .
[4] Richard G Jarman,et al. Analysis of repeat hospital admissions for dengue to estimate the frequency of third or fourth dengue infections resulting in admissions and dengue hemorrhagic fever, and serotype sequences. , 2007, The American journal of tropical medicine and hygiene.
[5] S Ballesteros,et al. Dynamic noise, chaos and parameter estimation in population biology , 2012, Interface Focus.
[6] Katia Koelle,et al. Decreases in dengue transmission may act to increase the incidence of dengue hemorrhagic fever , 2008, Proceedings of the National Academy of Sciences.
[7] Michael A. Johansson,et al. Models of the impact of dengue vaccines: a review of current research and potential approaches. , 2011, Vaccine.
[8] 0 51 00 05 v 2 1 2 O ct 2 00 5 Chaotic desynchronization of multi-strain diseases , 2005 .
[9] Ira B Schwartz,et al. Dynamic effects of antibody-dependent enhancement on the fitness of viruses. , 2005, Proceedings of the National Academy of Sciences of the United States of America.
[10] Jessika Eichel. Practical Bifurcation And Stability Analysis From Equilibrium To Chaos , 2016 .
[11] Ira B Schwartz,et al. Epidemics with multistrain interactions: the interplay between cross immunity and antibody-dependent enhancement. , 2008, Chaos.
[12] Niel Hens,et al. A simple periodic-forced model for dengue fitted to incidence data in Singapore. , 2013, Mathematical biosciences.
[13] Ira B Schwartz,et al. Chaotic desynchronization of multistrain diseases. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[14] Nico Stollenwerk,et al. The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections: complex dynamics and its implications for data analysis. , 2011, Journal of theoretical biology.
[15] Bob W. Kooi,et al. Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics , 2012 .
[16] Akira Sasaki,et al. Antigenic distance and cross-immunity, invasibility and coexistence of pathogen strains in an epidemiological model with discrete antigenic space. , 2009, Theoretical population biology.
[17] Akira Sasaki,et al. Why are dengue virus serotypes so distantly related? Enhancement and limiting serotype similarity between dengue virus strains , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[18] Xavier Deparis,et al. Discrimination between Primary and Secondary Dengue Virus Infection by an Immunoglobulin G Avidity Test Using a Single Acute-Phase Serum Sample , 2005, Journal of Clinical Microbiology.
[19] E. C. Holmes,et al. Cross-protective immunity can account for the alternating epidemic pattern of dengue virus serotypes circulating in Bangkok , 2006, Proceedings of the National Academy of Sciences.
[20] Pejman Rohani,et al. Ecological and immunological determinants of dengue epidemics. , 2006, Proceedings of the National Academy of Sciences of the United States of America.
[21] Ira B Schwartz,et al. Instabilities in multiserotype disease models with antibody-dependent enhancement. , 2007, Journal of theoretical biology.
[22] D. Cummings,et al. Breaking the symmetry: immune enhancement increases persistence of dengue viruses in the presence of asymmetric transmission rates. , 2013, Journal of theoretical biology.
[23] R. Seydel. From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis , 1988 .
[24] D. Gubler. Epidemic dengue/dengue hemorrhagic fever as a public health, social and economic problem in the 21st century. , 2002, Trends in microbiology.
[25] Bob W. Kooi,et al. Torus bifurcations, isolas and chaotic attractors in a simple dengue fever model with ADE and temporary cross immunity , 2008, Int. J. Comput. Math..
[26] S. Wiggins. Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .
[27] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[28] Y. Kuznetsov. Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.
[29] Bob W. Kooi,et al. Bifurcation analysis of a family of multi-strain epidemiology models , 2013, J. Comput. Appl. Math..
[30] S Edlund,et al. The effect of antibody-dependent enhancement, cross immunity, and vector population on the dynamics of dengue fever. , 2013, Journal of theoretical biology.
[31] Thomas F. Fairgrieve,et al. AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont) , 1997 .