INVASION ENTIRE SOLUTIONS IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL

By Wan-Tong Li, Li Zhang, Guo‐Bao Zhang. 2014

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This paper is concerned with invasion entire solutions of a Lotka-Volterra competition system with nonlocal dispersal, which formulate a new invasion way of the stronger species to the weaker one. We first give the asymptotic behavior of traveling wave solutions at infinity. Then by the comparison principle and sub-super solutions method, we establish the existence of invasion entire solutions which behave as two monotone waves with different speeds and coming from both sides of $x$-axis.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/7c2ef459430771b02dbc2518438ea74ec70fe931