Original scientific paper

Numerical analysis of the Caughley model from ecology

Sergey Shindin ; School of Mathematical Sciences, University of KwaZulu-Natal, Durban, South Africa
Nabendra Parumasur ; School of Mathematical Sciences, University of KwaZulu-Natal, Durban, South Africa

Abstract

This paper deals with numerical analysis of a reaction diffusion
model from mathematical ecology posed in an unbounded spatial domain.
For numerical simulations we replace the original system with an
equivalent one posed in a bounded domain. This is done by means of an algebraic map in conjunction with a spectral method.
For the semidiscretization in time we use an exponential time
differencing scheme, the resulting scheme is explicit both in space
and time. Improved error estimates are derived and the
computational efficiency of the algorithm is considered.
Finally, we present several numerical simulations which are useful for
making pertinent biological deductions.

Keywords

spectral approximation; error estimate; ecological modelling

Hrčak ID:

61873

URI

https://hrcak.srce.hr/61873

Publication date:

8.12.2010.

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