# American Institute of Mathematical Sciences

October  2017, 22(8): 3221-3234. doi: 10.3934/dcdsb.2017171

## Monotone traveling waves in a general discrete model for populations

 1 Department of Mathematics, Vietnam National University, 334 Nguyen Trai, Hanoi, Viet Nam 2 Department of Mathematics and Statistics, University of Arkansas at Little Rock, 2801 S. University Ave, Little Rock, AR 72204, USA

Received  July 2016 Revised  September 2016 Published  June 2017

Fund Project: We thank the anonymous referee for carefully reading the manuscript and suggestions that help us improve the justifications of some conditions

In this paper we consider the existence of monotone traveling waves for a class of general integral difference model for populations that allows the dispersal probability to have no continuous density functions but the fecundity functions to generate a monotone dynamical systems. In this setting we deal with the non-compactness of the evolution operator by using the monotone iteration method.

Citation: Thuc Manh Le, Nguyen Van Minh. Monotone traveling waves in a general discrete model for populations. Discrete & Continuous Dynamical Systems - B, 2017, 22 (8) : 3221-3234. doi: 10.3934/dcdsb.2017171
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