Spatial spread of a population
Part of the
book series (UNITEXT, volume 79)
After age structure, considered in Sect. 2.5 of Chap. 2, another source of heterogeneity in a population is the fact that individuals are located at different positions in the geographical region occupied by the population. Thus the description of the spatial structure of the population may become important if the habitat is not spatially homogeneous. From the viewpoint of the mechanisms regulating the growth of a population in a spatially structured habitat, we need to model the vital rates as depending on the location and, more essentially, the mechanism regulating the movement of individuals.
KeywordsDiffusion Constant Global Attractor Dirichlet Condition Neumann Condition Fisher Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Britton, N.F.: Reaction-diffusion Equations and their Application in Biology, Academic Press (1986)Google Scholar
Cantrell, R.S., Cosner C: Spatial Ecology Via Reaction-Diffusion Equations, John Wiley & Sons (2003)zbMATHGoogle Scholar
Fife, P.C., McLeod, J.B.: The Approach to solutions of nonlinear diffusion equations to travelling front solutions, Arch. Ration. Mech.Anal. 65
, 335–361 (1977)CrossRefzbMATHMathSciNetGoogle Scholar
Fisher, R.A.: The wave of advance of advantageous genes, Ann. Eugenics 7
, 355–369 (1937)CrossRefGoogle Scholar
Skellam, J.G.: Random dispersal in theoretical populations, Biometrika 38
, 196–218 (1951)CrossRefzbMATHMathSciNetGoogle Scholar
Weinberger, H.F.: A First Course in Partial Differential Equations. John Wiley & Sons (1965)zbMATHGoogle Scholar
© Springer International Publishing Switzerland 2014