Shuxia Pan
Abstract:
This article concerns the minimal wave speed of delayed predator-prey
systems with nonlocal dispersal and stage structure.
By the method of upper and lower solutions, we prove the existence of positive
traveling wave solutions. With the help of a contracting rectangle,
we establish the limit behavior of traveling wave solutions.
The nonexistence of traveling wave solutions is obtained using the theory
of asymptotic spreading, and therefore, the minimal wave speed is obtained.
Submitted January 27, 2016. Published May 13, 2016.
Math Subject Classifications: 47G20, 35J50, 35B65.
Key Words: Contracting rectangle; upper and lower solutions;
asymptotic spreading.
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Shuxia Pan Department of Applied Mathematics Lanzhou University of Technology Lanzhou, Gansu 730050, China email: shxpan@yeah.net |
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