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Original Articles

Population collapse to extinction: the catastrophic combination of parasitism and Allee effect

Pages 86-101 | Received 06 Nov 2008, Published online: 17 Jun 2009

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (4)

Daniel Maxin, Fabio Augusto Milner & Laurentiu Sega. (2016) Reduced fertility and asymptotics of the logistic model. Mathematical Population Studies 23:1, pages 37-49.
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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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Articles from other publishers (33)

Alberto Viscardi, Sandro Bertolino & Ezio Venturino. (2023) A model for voles interference in cultivated orchards. Mathematical Biosciences 366, pages 109107.
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Bapin Mondal, Abhijit Sarkar, Nazmul Sk, Shyam Sundar Santra & Taseer Muhammad. (2023) Exploring resilience, chaos, and bifurcations in a discrete food web model incorporating the mate finding Allee effect. The European Physical Journal Plus 138:11.
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Liang Li, Zhibo Hou & Yiqiu Mao. (2023) Dynamical transition and bifurcation of a diffusive predator–prey model with an Allee effect on prey. Communications in Nonlinear Science and Numerical Simulation 126, pages 107433.
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Gaurav Baruah. (2023) Transitions and its indicators in mutualistic meta-networks: effects of network topology, size of metacommunities and species dispersal. Evolutionary Ecology 37:4, pages 691-708.
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Abdul‐Aziz Yakubu & Najat Ziyadi. (2022) Strong Allee effect and basins of attraction in a discrete‐time zoonotic infectious disease model. Natural Resource Modeling 35:1.
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Gaurav Baruah. (2021) The impact of individual variation on abrupt collapses in mutualistic networks. Ecology Letters 25:1, pages 26-37.
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Deeptajyoti Sen, Saktipada Ghorai, Malay Banerjee & Andrew Morozov. (2021) Bifurcation analysis of the predator–prey model with the Allee effect in the predator. Journal of Mathematical Biology 84:1-2.
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Romaan Hayat Khat, Zhensheng Liu, Liwei Teng & Nathan James Robe. (2020) Determining Optimal Stock Density of Punjab Urial (Ovis vignei punjabiensis) in Captivity for Breeding, Population Growth and Reintroduction Potential. Pakistan Journal of Biological Sciences 23:9, pages 1227-1230.
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Partha Sarathi Mandal, Udai Kumar, Koushik Garain & Rakhi Sharma. (2020) Allee effect can simplify the dynamics of a prey-predator model. Journal of Applied Mathematics and Computing 63:1-2, pages 739-770.
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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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Michal Theuer & Luděk Berec. (2018) Impacts of infection avoidance for populations affected by sexually transmitted infections. Journal of Theoretical Biology 455, pages 64-74.
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Eva Janoušková & Luděk Berec. (2018) Host-pathogen dynamics under sterilizing pathogens and fecundity-longevity trade-off in hosts. Journal of Theoretical Biology 450, pages 76-85.
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Partha Sarathi Mandal. (2018) Noise-induced extinction for a ratio-dependent predator–prey model with strong Allee effect in prey. Physica A: Statistical Mechanics and its Applications 496, pages 40-52.
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Eduardo Liz. (2017) A Global Picture of the Gamma-Ricker Map: A Flexible Discrete-Time Model with Factors of Positive and Negative Density Dependence. Bulletin of Mathematical Biology 80:2, pages 417-434.
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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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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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Jennifer L. Stenglein & Timothy R. Van Deelen. (2016) Demographic and Component Allee Effects in Southern Lake Superior Gray Wolves. PLOS ONE 11:3, pages e0150535.
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E. Venturino. (2015) Ecoepidemiology: a More Comprehensive View of Population Interactions. Mathematical Modelling of Natural Phenomena 11:1, pages 49-90.
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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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Joydev Chattopadhyay, Amiya Ranjan Bhowmick, Sourav Kumar Sasmal & Yun Kang. (2014) Dynamics of a predator-prey system with prey subject to Allee effects and disease. Mathematical Biosciences and Engineering 11:4, pages 877-918.
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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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Loreto A. Godoy, Lisa A. Tell & Holly B. Ernest. (2013) Hummingbird health: pathogens and disease conditions in the family Trochilidae. Journal of Ornithology 155:1, pages 1-12.
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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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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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Luděk Berec & Daniel Maxin. (2013) Fatal or Harmless: Extreme Bistability Induced by Sterilizing, Sexually Transmitted Pathogens. Bulletin of Mathematical Biology 75:2, pages 258-273.
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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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Andrew M. Bate & Frank M. Hilker. (2013) Predator–prey oscillations can shift when diseases become endemic. Journal of Theoretical Biology 316, pages 1-8.
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Thomas A. White & Sarah E. Perkins. (2012) The ecoimmunology of invasive species. Functional Ecology 26:6, pages 1313-1323.
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Moitri Sen, Malay Banerjee & Andrew Morozov. (2012) Bifurcation analysis of a ratio-dependent prey–predator model with the Allee effect. Ecological Complexity 11, pages 12-27.
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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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