An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect
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Publication:1412725
DOI10.1016/S0025-5564(03)00098-1zbMath1027.92026WikidataQ52411316 ScholiaQ52411316MaRDI QIDQ1412725
Bai-Lian Li, Sergei V. Petrovskii
Publication date: 25 November 2003
Published in: Mathematical Biosciences (Search for Journal in Brave)
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)
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Cites Work
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- How predation can slow, stop or reverse a prey invasion
- Explicit solutions of Fisher's equation for a special wave speed
- Wave solutions of semilinear parabolic equations
- Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
- Allee dynamics and the spread of invading organisms
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- A symmetry approach to exactly solvable evolution equations
- C-integrable nonlinear partial differentiation equations. I
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- The partial differential equation ut + uux = μxx
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
- Speeds of invasion in a model with strong or weak Allee effects
- Some exact solutions of a generalized Fisher equation related to the problem of biological invasion
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