Analysis of spatial patterns in the problem of biological invasion

Zhang, Wenxin (2021). Analysis of spatial patterns in the problem of biological invasion. University of Birmingham. Ph.D.

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Abstract

Biological invasion of alien species usually has an adverse impact on ecology as alien species are often regarded as harmful species to the local ecosystems. A comprehensive understanding of spatial patterns of species spread during biological invasion is needed for efficient monitoring and control of harmful alien pests. Various growth-dispersal-type models of population dynamics predict that invasive species spread can follow two qualitatively different scenarios: propagation of a continuous population front and 'no-front' patchy invasion. Distinguishing between those two types of spatial pattern is important as patchy invasion may require a different approach to monitoring and control. However, a mathematical theory of patchy invasion is still missing and it remains unclear which parameter values in the underlying model result in the formation of patchy spatial patterns and how much this dynamical regime is different from the continuous front propagation. In this thesis we address the problem of spatial patterns recognition in biological invasion in terms of two biologically meaningful mathematical models. We employ several topological
characteristics of spatial pattern to investigate various spatial density distributions. The topology of continuous front and patchy spatial structures will be carefully compared and conclusions about sensitivity and 'topological stability' of those spatial patterns will be derived.

Type of Work:

Thesis (Doctorates > Ph.D.)

Award Type:

Doctorates > Ph.D.

Supervisor(s):