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Identification of Diffusion Coefficient in Nonhomogeneous Landscapes

  • Min A
  • John D. Reeve
  • Mingqing Xiao
  • Dashun Xu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7664)

Abstract

Diffusion models have been found in various applications in the study of spatial population dynamics for modeling the species dispersal process in natural environments. Diffusion coefficient is a critical parameter in diffusion equations. In this paper, a new method for estimating the diffusion coefficient of insects is presented in terms of occupancy time and the method can produce any desired accuracy.

The study of modeling biological organism movement behaviors in a nonhomogeneous landscape is critical in investigating the interplay between environmental heterogeneity and organism movements. By constructing a set of eigenvalues, we can characterize the insect biased movement when insect crosses the intersection of two different type of landscape elements. Some numerical examples are provided to illustrate the theoretical outcomes obtained in the paper.

Keywords

Diffusion Equation Probability Density Edge Behavior Nonhomogeneous Landscape 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Min A
    • 1
  • John D. Reeve
    • 2
  • Mingqing Xiao
    • 2
  • Dashun Xu
    • 2
  1. 1.Coppin State UniversityBaltimoreUSA
  2. 2.Southern Illinois UniversityCarbondaleUSA

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