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

In: Morphogenesis and Pattern Formation in Biological Systems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Nanako Shigesada & Noriko Kinezaki & Kohkichi Kawasaki & Fugo Takasu, 2003. "Biological Invasion into Periodically Fragmented Environments: A Diffusion-Reaction Model," Springer Books, in: Toshio Sekimura & Sumihare Noji & Naoto Ueno & Philip K. Maini (ed.), Morphogenesis and Pattern Formation in Biological Systems, chapter 18, pages 215-222, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-65958-7_18
    DOI: 10.1007/978-4-431-65958-7_18
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