Some exact solutions of a generalized Fisher equation related to the problem of biological invasion

DOI10.1016/S0025-5564(01)00068-2zbMath0983.92031WikidataQ43674248 ScholiaQ43674248MaRDI QIDQ5949094

Nanako Shigesada, Sergej Petrovskij

Publication date: 9 April 2002

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

exact solutionextinctionbiological invasionFisher equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Cites Work

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• Traveling periodic waves in heterogeneous environments
• Multidimensional nonlinear diffusion arising in population genetics
• Travelling wave solutions of diffusive Lotka-Volterra equations
• Allee dynamics and the spread of invading organisms
• Response of predator-prey systems to nutrient enrichment and proportional harvesting
• Ecological chaos in the wake of invasion.
• INTERMEDIATE ASYMPTOTICS IN MATHEMATICAL PHYSICS
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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