Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 74, Issue 10, Pages 2221-2230Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2017.06.048
Keywords
Traveling wave solutions; Connecting orbits; Diffusive predator-prey systems; Nonlinear density dependence; Minimum wave speed
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Funding
- National Natural Science Foundation of China [61271398]
- China Scholarship Foundation [201208330224]
- Natural Science Foundation of Zhejiang Province - Ningbo University [LY14A010004]
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Traveling wave solution for a class of diffusive predator-prey system with nonlinear density dependence is considered. Using methods of topological shooting, we show the existence of a non-negative traveling wave solution connecting a boundary equilibrium to the co-existence steady state with the help of a Wazewski-like set together with Lyapunov function constructed elaborately. This means that the traveling wave solution established by Huang (2012) can be preserved in the presence of the nonlinear density dependence for the predator and the results of Huang (2012) are generalized. (C) 2017 The Author(s). Published by Elsevier Ltd.
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