Biological Invasion into Periodically Fragmented Environments: A Diffusion-Reaction Model

Nanako Shigesada (), Noriko Kinezaki, Kohkichi Kawasaki and Fugo Takasu
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Nanako Shigesada: Nara Women’s University, Department of Information and Computer Sciences
Noriko Kinezaki: Nara Women’s University, Department of Information and Computer Sciences
Kohkichi Kawasaki: Doshisha University, Department of Knowledge Engineering and Computer Sciences
Fugo Takasu: Nara Women’s University, Department of Information and Computer Sciences

Chapter 18 in Morphogenesis and Pattern Formation in Biological Systems, 2003, pp 215-222 from Springer

Abstract: Abstract Range expansions of invading species in homogeneous environments have been extensively studied since the pioneering work of Fisher 1937 and Skellam 1951 [1, 4, 5, 7, 8, 10]. Here we focus on range expansion of a species in a two-dimensional heterogeneous environment that is generated by segmenting an original favorable habitat into a regularly striped or criss-cross pattern as shown in Fig. 18.1: (a) Striped fragmentation — an environment is segmented into belts in such a way that favorable and unfavorable habitats with widths l 1 and l 2 respectively, are arranged alternately [6]. (b) Criss-cross fragmentation — an environment is segmented in both horizontal and vertical axes in such a way that square-shaped favorable habitats with a side l 1 are regularly distributed to leave the criss-cross unfavorable belt with width l 2 in the background.

Keywords: Unit Structure; Biological Invasion; Range Expansion; Intrinsic Growth Rate; Favorable Habitat (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-4-431-65958-7_18

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