| Abstract: |
| Understanding invasion processes is important in invasion ecology.
Several mathematical models have been proposed to estimate the spreading speed
of species.
Therein, the spreading front is usually determined by unspecified level sets of the solution.
In this talk, we use the singular limit analysis to study the formation of the spreading front
and propose the three-component reaction-diffusion equations
to describe the interaction between three species.
By singular limit analysis, the models are reduced to Stefan-type problems,
which have been used to describe the spreading of species in the literature.
We obtain an explicit form of the evolution of spreading front and
may provide some biological interpretation and modeling meaning. |
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