New methods for the existence and uniqueness of traveling waves of non-monotone integro-difference equations with applications

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Pan, Yingli¹ 

[1] Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China

关键词: Traveling wave;    Uniqueness;    Non-monotonicity;    Integro-difference equation;   

DOI  :  10.1016/j.jde.2019.11.030

来源: Elsevier

【 摘 要 】

A class of non-monotone integro-difference equations are investigated. It is shown that the spreading speed coincides with the minimal wave speed, as well as the uniqueness of traveling waves up to translations. Our methods are different from those in [7,12] and rely on the priori estimate of the decay speed of wave profile and allow (i) to deal with the iterative map without compactness; (ii) to incorporate the critical case which corresponds to the slowest wavefronts into consideration; (iii) to weaken or to remove various restrictions on kernels and nonlinearities. Finally, these results are applied to some population models. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free