Steady-state solutions of a diffusive prey-predator model with finitely many protection zones

Kazuhiro Oeda

研究成果: Article査読

抄録

This paper is concerned with a diffusive Lotka-Volterra prey-predator model with finitely many protection zones for the prey species. We discuss the stability of trivial and semi-trivial steady-state solutions, and we also study the existence and non-existence of positive steady-state solutions. It is proved that there exists a certain critical growth rate of the prey for survival. Moreover, it is shown that when cross-diffusion is present, under certain conditions, the critical value decreases as the number of protection zones increases. On the other hand, it is also shown that when cross-diffusion is absent, the critical value does not always decrease even if the number of protection zones increases.

本文言語English
ページ(範囲)19-38
ページ数20
ジャーナルSUT Journal of Mathematics
53
1
出版ステータスPublished - 2017 1 1

ASJC Scopus subject areas

  • Mathematics(all)

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