Electron. J. Diff. Equ., Vol. 2016 (2016), No. 121, pp. 1-16.

Minimal wave speeds of delayed dispersal predator-prey systems with stage structure

Shuxia Pan

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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