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Journal of Biological Dynamics Volume 6, 2012 - Issue 2
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Original Articles

Fatal disease and demographic Allee effect: population persistence and extinction

Avner Friedman Mathematical Bioscience Institute, The Ohio State University, Columbus, OH, 43210, USA; Department of Mathematics, The Ohio State University, Columbus, OH, 43210, USA
&
Abdul-Aziz Yakubu Department of Mathematics, Howard University, Washington, DC, 20059, USACorrespondence[email protected]
Pages 495-508 | Received 26 Apr 2011, Accepted 04 Oct 2011, Published online: 02 Nov 2011

Citations (21)

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Read on this site (3)

A.J. Ekanayake & D.B. Ekanayake. (2015) A seasonal SIR metapopulation model with an Allee effect with application to controlling plague in prairie dog colonies. Journal of Biological Dynamics 9:sup1, pages 262-290.
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Yun Kang & Carlos Castillo-Chavez. (2012) Multiscale analysis of compartment models with dispersal. Journal of Biological Dynamics 6:sup2, pages 50-79.
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GarrenR.J. Gaut, Katja Goldring, Francesca Grogan, Cymra Haskell & Robert J. Sacker. (2012) Difference equations with the Allee effect and the periodic Sigmoid Beverton–Holt equation revisited. Journal of Biological Dynamics 6:2, pages 1019-1033.
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Articles from other publishers (18)

Jing Geng, Yao Wang, Yu Liu, Ling Yang & Jie Yan. (2022) Analysis of an avian influenza model with Allee effect and stochasticity. International Journal of Biomathematics 16:06.
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Zhanshan (Sam) Ma & Liexun Yang. (2023) CDC (Cindy and David’s Conversations) game: Advising President to survive pandemic. iScience 26:7, pages 107079.
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Xiaofen Lin, Hua Liu, Xiaotao Han & Yumei Wei. (2022) Stability and Hopf bifurcation of an SIR epidemic model with density-dependent transmission and Allee effect. Mathematical Biosciences and Engineering 20:2, pages 2750-2775.
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Yu Liu, Shigui Ruan & Ling Yang. (2020) Stability transition of persistence and extinction in an avian influenza model with Allee effect and stochasticity. Communications in Nonlinear Science and Numerical Simulation 91, pages 105416.
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Kwadwo Antwi-Fordjour, Rana D. Parshad & Matthew A. Beauregard. (2020) Dynamics of a predator–prey model with generalized Holling type functional response and mutual interference. Mathematical Biosciences 326, pages 108407.
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Chayu Yang & Jin Wang. (2018) On the intrinsic dynamics of bacteria in waterborne infections. Mathematical Biosciences 296, pages 71-81.
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Zeyan Wu, Jianjuan Li, Jing Li, Shuying Liu, Liuting Zhou & Yang Luo. (2017) Pattern formations of an epidemic model with Allee effect and time delay. Chaos, Solitons & Fractals 104, pages 599-606.
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Luděk Berec, Eva Janoušková & Michal Theuer. (2017) Sexually transmitted infections and mate-finding Allee effects. Theoretical Population Biology 114, pages 59-69.
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Salisu Usaini, Alun L. Lloyd, Roumen Anguelov & Salisu M. Garba. (2017) Dynamical behavior of an epidemiological model with a demographic Allee effect. Mathematics and Computers in Simulation 133, pages 311-325.
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Sanhong Liu, Shigui Ruan & Xinan Zhang. (2017) Nonlinear dynamics of avian influenza epidemic models. Mathematical Biosciences 283, pages 118-135.
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Jian Fang, Yijun Lou & Jianhong Wu. (2016) Can Pathogen Spread Keep Pace with its Host Invasion?. SIAM Journal on Applied Mathematics 76:4, pages 1633-1657.
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Salisu Usaini, Roumen Anguelov & Salisu M. Garba. (2015) Dynamics of SI epidemic with a demographic Allee effect. Theoretical Population Biology 106, pages 1-13.
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Claire Elizabeth Sanderson, Sarah Elizabeth Jobbins & Kathleen Ann Alexander. (2013) With Allee effects, life for the social carnivore is complicated. Population Ecology 56:2, pages 417-425.
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Yun Kang & Carlos Castillo-Chávez. (2014) A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness. Discrete & Continuous Dynamical Systems - B 19:1, pages 89-130.
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Yi Yang & Robert J. Sacker. (2014) Periodic unimodal Allee maps, the semigroup property and the $\lambda$-Ricker map with Allee effect. Discrete & Continuous Dynamical Systems - B 19:2, pages 589-606.
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Linlin Cai, Guoting Chen & Dongmei Xiao. (2012) Multiparametric bifurcations of an epidemiological model with strong Allee effect. Journal of Mathematical Biology 67:2, pages 185-215.
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Avner Friedman & Abdul-Aziz Yakubu. (2013) Anthrax epizootic and migration: Persistence or extinction. Mathematical Biosciences 241:1, pages 137-144.
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Avner Friedman & Abdul-Aziz Yakubu. (2012) Host Demographic Allee Effect, Fatal Disease, and Migration: Persistence or Extinction. SIAM Journal on Applied Mathematics 72:5, pages 1644-1666.
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