扬州大学学报(自然科学版)2024,Vol.27Issue(6) :49-55.DOI:10.19411/j.1007-824x.2024.06.007

一类具有脉冲控制的互惠扩散模型的动力学分析

Dynamic analysis of a class of mutualistic diffusive models with impluses control

戴青 林支桂
扬州大学学报(自然科学版)2024,Vol.27Issue(6) :49-55.DOI:10.19411/j.1007-824x.2024.06.007

一类具有脉冲控制的互惠扩散模型的动力学分析

Dynamic analysis of a class of mutualistic diffusive models with impluses control

戴青 1林支桂1
扫码查看

作者信息

  • 1. 扬州大学数学科学学院,江苏扬州 225002
  • 折叠

摘要

针对描述两种群互惠模型的反应扩散问题,引入脉冲刻画种群对瞬时干扰的响应过程.结合经典偏微分方程理论和上下解方法,讨论在脉冲影响下反应扩散方程解的性质.结果表明,脉冲和初值对解的爆破都产生影响,较大的脉冲和初值更容易导致爆破现象发生.

Abstract

This paper deals with a reaction-diffusion problem describing two species mutualistic model and pulse is introduced to characterize the process of population response to instantaneous intervention.By combining the classical theory of partial differential equations and the method of upper and lower solutions,the properties of the solution of the reaction-diffusion equation under the influence of the impulse are discussed.The results show that both impulses and initial values have impacts on blow-up of solutions,and large impulses and initial values are more likely to lead to blowup phenomenon.

关键词

互惠模型/脉冲/爆破/上下解方法

Key words

mutualistic model/pulse/blowup/the method of upper and lower solutions

引用本文复制引用

出版年

2024
扬州大学学报(自然科学版)
扬州大学

扬州大学学报(自然科学版)

影响因子:0.473
ISSN:1007-824X
段落导航相关论文