Evolutionary dynamics of single species model with allee effect

DOI10.1016/j.physa.2019.04.010OpenAlexW2937631964MaRDI QIDQ2160043

Xia Liu, Guihong Fan, Tonghua Zhang

Publication date: 2 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.04.010

zbMATH Keywords

ergodicitysurvival analysisallee effectevolutionarily stable strategy equilibria

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) General biology and biomathematics (92B05) Applications of continuous-time Markov processes on discrete state spaces (60J28) Statistical mechanics, structure of matter (82-XX)

Related Items (5)

The influence of density in population dynamics with strong and weak allee effect ⋮ Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics ⋮ Stability and Turing patterns of a predator-prey model with Holling type II functional response and Allee effect in predator ⋮ Evolutionary dynamics of single species model with Allee effects and aposematism ⋮ Stability and bifurcation analysis of an amensalism model with weak allee effect

Cites Work

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• Weak Allee effects and species coexistence
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• Chaos and bifurcations of a Leslie-Gower food chain with strong Allee effect
• Spatio-temporal dynamics near the steady state of a planktonic system
• Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
• Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching
• The basins of attraction in a modified May-Holling-Tanner predator-prey model with Allee affect
• Dynamical analysis of a two species amensalism model with Beddington-DeAngelis functional response and Allee effect on the second species
• Dynamics of a predator-prey system with prey subject to Allee effects and disease
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Global Analysis of a System of Predator–Prey Equations
• Speeds of invasion in a model with strong or weak Allee effects

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