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 |
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ページ(範囲) | 19-38 |
ページ数 | 20 |
ジャーナル | SUT Journal of Mathematics |
巻 | 53 |
号 | 1 |
出版ステータス | Published - 2017 1月 1 |
ASJC Scopus subject areas
- 数学 (全般)