Spatial Patterns of a Predator-Prey System of Leslie Type with Time Delay.
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ABSTRACT:
SUBMITTER: Wang C
PROVIDER: S-EPMC4773104 | biostudies-literature | 2016
REPOSITORIES: biostudies-literature
Publications
Spatial Patterns of a Predator-Prey System of Leslie Type with Time Delay.
Wang Caiyun C Chang Lili L Liu Huifeng H
PloS one 20160301 3
Time delay due to maturation time, capturing time or other reasons widely exists in biological systems. In this paper, a predator-prey system of Leslie type with diffusion and time delay is studied based on mathematical analysis and numerical simulations. Conditions for both delay induced and diffusion induced Turing instability are obtained by using bifurcation theory. Furthermore, a series of numerical simulations are performed to illustrate the spatial patterns, which reveal the information o ...[more]
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