Titlebook: Integrodifference Equations in Spatial Ecology; Frithjof Lutscher Textbook 2019 Springer Nature Switzerland AG 2019 Spatial Ecology.Integr

Outspoken

Textbook 2019ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equ

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Positive Steady Statesitive steady state even if the trivial state is locally stable. How does spatial dispersal affect the ability of a population to persist in that case? In this chapter, we present some analytical methods and numerical results that explore these questions. The effects are inherently nonlinear and therefore much harder to study completely.

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The Speed of Spatial Spreadbegin this chapter with two different scenarios for spatial spread and explicit calculations for the linear growth function. We denote these as the . and the .. Then we define the . and present the results for the nonlinear theory. Throughout the chapter, we assume that there is no Allee effect; we will devote Chap. . to it.

GENRE

Temporal Variation even the formulation of the problem requires substantially different tools from the theory of stochastic processes. We focus again on the two fundamental questions of population persistence and spread.

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Computational Aspectsher cases, an explicit quadrature rule can be used. Eigenvalue problems for IDEs can be approximated by matrix eigenvalue problems and solved with existing routines. Explicit analytical results help calibrate numerical schemes.