Du, Yihong; Hsu, Sze-Bi

Author(s)

Du, Yihong

Hsu, Sze-Bi

Publication Date

2004

Abstract

In this paper, we demonstrate some special behavior of steady-state solutions to a predator-prey model due to the introduction of spatial heterogeneity. We show that positive steady-state solutions with certain prescribed spatial patterns can be obtained when the spatial environment is designed suitably. Moreover, we observe some essential differences of the behavior of our model from that of the classical Lotka-Volterra model that seem to arise only in the heterogeneous case.

Citation

Journal of Differential Equations, 203(2), p. 331-364

ISSN

1090-2732

0022-0396

Link

https://hdl.handle.net/1959.11/3648

Publisher

Academic Press

Title

A diffusive predator-prey model in heterogeneous environment

Type of document

Journal Article

Entity Type

Publication

Author(s)	Du, Yihong Hsu, Sze-Bi
Publication Date	2004
Abstract	In this paper, we demonstrate some special behavior of steady-state solutions to a predator-prey model due to the introduction of spatial heterogeneity. We show that positive steady-state solutions with certain prescribed spatial patterns can be obtained when the spatial environment is designed suitably. Moreover, we observe some essential differences of the behavior of our model from that of the classical Lotka-Volterra model that seem to arise only in the heterogeneous case.
Citation	Journal of Differential Equations, 203(2), p. 331-364
ISSN	1090-2732 0022-0396
Link	https://hdl.handle.net/1959.11/3648
Publisher	Academic Press
Title	A diffusive predator-prey model in heterogeneous environment
Type of document	Journal Article
Entity Type	Publication

A diffusive predator-prey model in heterogeneous environment

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