Accuracy and stability for delayed integral and differential equations and their discrete equations

延迟积分和微分方程及其离散方程的精度和稳定性

• 批准号: 19540229
• 负责人: MUROYA Yoshiaki
• 金额: $ 0.92万
• 依托单位: Waseda University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2008
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540229/
• 关键词: 関数方程式の大域理論; 数理生態学; 数理モデル; 力学系

遅れを持つ微分方程式やその離散化方程式系の大域漸近安定性の研究、特に、2種の非自励、遅れを持つ共生Lotka-Volterra方程式系の、遅れに関係しないpermanence 条件の導出、2種類のcontractivity条件、semi-contractive関数の導入とそのClarkモデルへの応用、Gopalsamy and Liuのconjectureの肯定的解決とその拡張、infection項を持つ離散人口モデルの基本再生産数、Volterra差分方程式の大域漸近安定性などの研究成果を得た。

A Study of the Large Domain Asymptotic Stability of the Discrete Equation System of the Differential Equation System, Special, Two Kinds of Non-self-excited, Non-self-excited, Non-self-sustained Lotka-Volterra Equation System, Derivation of the Permanence Condition of the Semi-contractive Relation, Introduction of the Semi-contractive Relation, Application of the Clark Equation, Positive Solution of the Conjecture of Gopalsamy and Liu, Expansion of the Infection Term, Basic Reproduction Number of the Discrete Population, The results of large domain asymptotic stability of Volterra difference equations are obtained.

项目成果

general discrete time model of population dynamics in the presence of an infection

存在感染时种群动态的一般离散时间模型

• 期刊: accepted in Discrete Dynamics in Nature and Society
• 作者: G. Izzo;Y. Muroya and A. Vecchio;A
• 通讯作者: A

On global stability in a PoPulation model with piecewise constant delays

分段常时滞人口模型的全局稳定性

• 发表时间: 2008
• 作者: H.Li;Y.Muroya and R.Yuan;室谷義昭;Y.Muroya
• 通讯作者: Y.Muroya

Uniform stability for a wide class of difference equations

多种差分方程的一致稳定性

• 发表时间: 2007
• 作者: Y.Muroya;joint work with E.Ishiwata
• 通讯作者: joint work with E.Ishiwata

Permanence for two species nonautonomous Lotka-Volterra cooperative systems with delays

两个物种具有延迟的非自主 Lotka-Volterra 合作系统的持久性

• 发表时间: 2009
• 期刊: Nonlinear Analyis RWA (2009)
• 作者: Y. Nakata and Y. Muroya

New contractivity condition in a population model with piecewise constant arguments

• DOI: 10.1016/j.jmaa.2008.05.025
• 发表时间: 2008-10
• 期刊: Journal of Mathematical Analysis and Applications
• 影响因子: 1.3
• 作者: Y. Muroya