移动环境中捕食-食饵格微分系统的强迫波

doi:10.6040/j.issn.1671-9352.0.2024.297

《山东大学学报(理学版)》 ›› 2026, Vol. 61 ›› Issue (7): 82-92.doi: 10.6040/j.issn.1671-9352.0.2024.297

• 生物数学 • 上一篇

移动环境中捕食-食饵格微分系统的强迫波

佟茂森,周蓉

西安电子科技大学数学与统计学院, 陕西西安 710071

发布日期:2026-07-01
作者简介:佟茂森(1998— ),男,硕士研究生,研究方向为微分方程、动力系统及其在生物中的应用. E-mail:375747727@qq.com

Forced waves in a predator-prey lattice differential system in a shifting environment

TONG Maosen, ZHOU Rong

School of Mathematics and Statistics, Xidian University, Xian 710071, Shaanxi, China

Published:2026-07-01

摘要/Abstract

摘要： 研究一类移动环境中捕食-食饵格微分模型强迫波的存在性和不存在性。首先, 通过构造合适的上下解以及应用 Schauder 不动点定理证明该模型强迫波的存在性; 其次,利用反证法证明强迫波的不存在性。

关键词: 捕食-食饵模型, 格微分系统, 移动环境, 强迫波

Abstract: In this paper, we study the existence and nonexistence of forced waves in a class of predator-prey lattice differential models in a shifting environment. Firstly, we prove the existence of forced waves for this model by constructing suitable upper and lower solutions and applying Schauder fixed point theorem. Then, we prove the nonexistence of forced wave by using the method of proof by contradiction.

Key words: predator-prey model, Lattice differential system, shifting environment, forced wave

中图分类号:

O175

佟茂森,周蓉. 移动环境中捕食-食饵格微分系统的强迫波[J]. 《山东大学学报(理学版)》, 2026, 61(7): 82-92.

TONG Maosen, ZHOU Rong. Forced waves in a predator-prey lattice differential system in a shifting environment[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2026, 61(7): 82-92.

参考文献

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移动环境中捕食-食饵格微分系统的强迫波

Forced waves in a predator-prey lattice differential system in a shifting environment

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