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Original Articles

Species decline and extinction: synergy of infectious disease and Allee effect?

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Pages 305-323 | Received 18 Feb 2008, Published online: 04 Dec 2010

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Read on this site (12)

Yun Kang. (2016) Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects. Journal of Difference Equations and Applications 22:5, pages 687-723.
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Laila Assas, Saber Elaydi, Eddy Kwessi, George Livadiotis & David Ribble. (2015) Hierarchical competition models with Allee effects. Journal of Biological Dynamics 9:sup1, pages 32-44.
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G. Livadiotis, L. Assas, B. Dennis, S. Elaydi & E. Kwessi. (2015) A discrete-time host–parasitoid model with an Allee effect. Journal of Biological Dynamics 9:1, pages 34-51.
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Yunshyong Chow & Sophia R.-J. Jang. (2014) Allee effects in a Ricker-type predator–prey system. Journal of Difference Equations and Applications 20:9, pages 1350-1371.
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Yunshyong Chow & Sophia R.-J. Jang. (2014) Multiple attractors in a Leslie–Gower competition system with Allee effects. Journal of Difference Equations and Applications 20:2, pages 169-187.
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Sophia R.-J. Jang. (2013) Competitive exclusion and coexistence in a Leslie–Gower competition model with Allee effects. Applicable Analysis 92:7, pages 1527-1540.
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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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Avner Friedman & Abdul-Aziz Yakubu. (2012) Fatal disease and demographic Allee effect: population persistence and extinction. Journal of Biological Dynamics 6:2, pages 495-508.
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Sophia R.-J. Jang. (2011) Discrete-time host–parasitoid models with Allee effects: Density dependence versus parasitism. Journal of Difference Equations and Applications 17:4, pages 525-539.
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SophiaR.-J. Jang. (2010) Dynamics of an age-structured population with Allee effects and harvesting. Journal of Biological Dynamics 4:4, pages 409-427.
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Frank M. Hilker. (2010) Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. Journal of Biological Dynamics 4:1, pages 86-101.
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Paul Leonard Salceanu & Hal L. Smith. (2009) Persistence in a discrete-time stage-structured fungal disease model. Journal of Biological Dynamics 3:2-3, pages 271-285.
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Articles from other publishers (33)

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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E. Bešo, S. Kalabušić, E. Pilav & A. Bilgin. (2023) Dynamics of a Plant-Herbivore Model Subject to Allee Effects with Logistic Growth of Plant Biomass. International Journal of Bifurcation and Chaos 33:10.
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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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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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Sourav Kumar Sasmal. (2018) Population dynamics with multiple Allee effects induced by fear factors – A mathematical study on prey-predator interactions. Applied Mathematical Modelling 64, pages 1-14.
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Alex P. Farrell, James P. Collins, Amy L. Greer & Horst R. Thieme. (2018) Do fatal infectious diseases eradicate host species?. Journal of Mathematical Biology 77:6-7, pages 2103-2164.
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Kakali Ghosh, Santanu Biswas, Sudip Samanta, Pankaj Kumar Tiwari, Ali Saleh Alshomrani & Joydev Chattopadhyay. (2017) Effect of Multiple Delays in an Eco-Epidemiological Model with Strong Allee Effect. International Journal of Bifurcation and Chaos 27:11, pages 1750167.
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Frank M. Hilker, Marta Paliga & Ezio Venturino. (2017) Diseased Social Predators. Bulletin of Mathematical Biology 79:10, pages 2175-2196.
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Md Saifuddin, Sudip Samanta, Santanu Biswas & Joydev Chattopadhyay. (2017) An Eco-Epidemiological Model with Different Competition Coefficients and Strong-Allee in the Prey. International Journal of Bifurcation and Chaos 27:08, pages 1730027.
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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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Md. Saifuddin, Santanu Biswas, Sudip Samanta, Susmita Sarkar & Joydev Chattopadhyay. (2016) Complex dynamics of an eco-epidemiological model with different competition coefficients and weak Allee in the predator. Chaos, Solitons & Fractals 91, pages 270-285.
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Yun Kang, Krystal Blanco, Talia Davis, Ying Wang & Gloria DeGrandi-Hoffman. (2016) Disease dynamics of honeybees with Varroa destructor as parasite and virus vector. Mathematical Biosciences 275, pages 71-92.
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Santanu Biswas, Md. Saifuddin, Sourav Kumar Sasmal, Sudip Samanta, Nikhil Pal, Faisal Ababneh & Joydev Chattopadhyay. (2016) A delayed prey–predator system with prey subject to the strong Allee effect and disease. Nonlinear Dynamics 84:3, pages 1569-1594.
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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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Sourav Kumar Sasmal, Yun Kang & Joydev Chattopadhyay. (2015) Intra-specific competition in predator can promote the coexistence of an eco-epidemiological model with strong Allee effects in prey. Biosystems 137, pages 34-44.
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Mihiri De Silva & Sophia Jang. (2015) Competitive Exclusion and Coexistence in a Lotka–Volterra Competition Model with Allee Effects and Stocking. Letters in Biomathematics 2:1.
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Eugenio Aulisa & Sophia R.-J. Jang. (2014) Continuous-time predator–prey systems with Allee effects in the prey. Mathematics and Computers in Simulation 105, pages 1-16.
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Yun Kang & Oyita Udiani. (2014) Dynamics of a single species evolutionary model with Allee effects. Journal of Mathematical Analysis and Applications 418:1, pages 492-515.
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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-Chavez. (2014) Dynamics of SI models with both horizontal and vertical transmissions as well as Allee effects. Mathematical Biosciences 248, pages 97-116.
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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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Muhammad Dur-e-Ahmad, Mudassar Imran & Adnan Khan. (2014) Analysis of a Mathematical Model of Emerging Infectious Disease Leading to Amphibian Decline. Abstract and Applied Analysis 2014, pages 1-13.
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Yongli Cai, Wenbin Liu, Youbin Wang & Weiming Wang. (2013) Complex dynamics of a diffusive epidemic model with strong Allee effect. Nonlinear Analysis: Real World Applications 14:4, pages 1907-1920.
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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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Sophia R.-J. Jang. (2013) On the Lotka–Volterra competition system with Allee effects. Computational and Applied Mathematics 32:1, pages 179-189.
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J. Leonel Rocha, Danièle Fournier-Prunaret & Abdel-Kaddous Taha. (2013) Strong and weak Allee effects and chaotic dynamics in Richards' growths. Discrete & Continuous Dynamical Systems - B 18:9, pages 2397-2425.
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Yujing Gao & Bingtuan Li. (2013) Dynamics of a ratio-dependent predator-prey system with a strong Allee effect. Discrete & Continuous Dynamical Systems - B 18:9, pages 2283-2313.
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Yun Kang. (2013) Scramble competitions can rescue endangered species subject to strong Allee effects. Mathematical Biosciences 241:1, pages 75-87.
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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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Yun Kang & Abdul-Aziz Yakubu. (2011) Weak Allee effects and species coexistence. Nonlinear Analysis: Real World Applications.
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Jinfeng Wang, Junping Shi & Junjie Wei. (2010) Predator–prey system with strong Allee effect in prey. Journal of Mathematical Biology 62:3, pages 291-331.
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