一类具有Beddington-DeAngelis功能反应的空气污染周期动力学模型的正周期解的存在性  

Existence of Positive Periodic Solutions of a Periodic Air Pollution Dynamic Model with Beddington-Deangelis Functional Response

作　　者：周丽婷 许峻维 王棋 王佳帅 郭轲 马万彪[1] ZHOU Li-ting;XU Jun-wei;WANG Qi;WANG Jia-shuai;GUO Ke;MA Wan-biao(School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《数学的实践与认识》2023年第10期169-177,共9页Mathematics in Practice and Theory

基　　金：中央高校基本科研业务费专项资金(FRF-TP-22-102A1);中国博士后科学基金(2022TQ0026)。

摘　　要：利用重合度理论中的延拓定理,研究了一类具有Beddington-DeAngelis功能反应的空气污染周期动力学模型的正周期解的存在性,得到了该模型存在正周期解的充分条件。In this paper,the existence of positive periodic solutions of a periodic air pollution dynamic model with Beddington-DeAngelis functional response is investigated by using the continuation theorem in coincidence degree theory,and a sufficient condition for the existence of positive periodic solutions of the model is obtained.

关 键 词：空气污染 正周期解 重合度理论 Beddington-DeAngelis功能反应 

分 类 号：O175[理学—数学] X51[理学—基础数学]