Existence of solutions of diffusive logistic equations with impulses and time delay and stability of the steady-states

被引：0
|
作者：
Widjaja, J [1 ]
Bottema, MJ [1 ]
机构：
[1] Flinders Univ S Australia, Sch Informat & Engn, Adelaide, SA 5001, Australia
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2005年 / 12卷 / 05期
关键词：
delay; impulse; logistic; diffusion; upper and lower solutions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of solution of diffusive logistic equation with impulses and time delay is proved using upper and lower solutions. The timing of impulses in this system are fixed. Conditions are found under which the zero function and the steady-state solution to the problem without impulses are attractors.
引用
收藏
页码：563 / 578
页数：16
相关论文
共 50 条
  • [41] Representation of solutions and finite-time stability for fractional delay oscillation difference equations
    Chen, Yuting
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 3997 - 4013
  • [42] Asymptotic behavior of solutions of second-order nonlinear delay differential equations with impulses
    Tang, Xiaosong
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) : 2105 - 2111
  • [43] Multiple periodic solutions of functional differential equations with impulses on time scales
    Zeng Z.
    Journal of Applied Mathematics and Computing, 2016, 50 (1-2) : 365 - 387
  • [44] Analysis on the existence of the steady-states for an ecological-mathematical model with predator-prey-dependent functional response
    Jia, Yunfeng
    Luo, Bimei
    Wu, Jianhua
    Xu, Hong-Kun
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (07) : 1767 - 1778
  • [45] Stability of solutions to some abstract evolution equations with delay
    Hoang, Nguyen S.
    Ramm, Alexander G.
    CONTRIBUTIONS TO MATHEMATICS, 2021, 3 : 1 - 10
  • [46] Existence Results for Delay Impulsive Dynamic Equations on Time Scales
    Sun, Lijie
    Yang, Jun
    Tian, Baoliang
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 676 - 681
  • [47] Existence and uniqueness of solutions for nonlinear impulsive partial differential equations with delay
    He, Lianhua
    Liu, Anping
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 952 - 958
  • [48] Existence Of Solutions For Fractional Differential Equations Boundary Value Problem With Delay
    Li, Yanan
    Sun, Shu-Rong
    Han, Zhen-lai
    2012 INTERNATIONAL CONFERENCE ON INDUSTRIAL CONTROL AND ELECTRONICS ENGINEERING (ICICEE), 2012, : 1815 - 1818
  • [49] Existence of Periodic Solutions for A Class of Impulsive Delay Functional Differential Equations
    Chen Min
    Hu Lanli
    AGRO FOOD INDUSTRY HI-TECH, 2017, 28 (03): : 902 - 906
  • [50] Existence of Mild Solutions to Delay Diffusion Equations with Hilfer Fractional Derivative
    Jin, Yuhang
    He, Wenchang
    Wang, Luyao
    Mu, Jia
    FRACTAL AND FRACTIONAL, 2024, 8 (07)
12345