Periodic Solutions for Impulsive Differential Equations Model of Plankton Allelopathy

机译：浮游生物化感作用脉冲微分方程模型的周期解

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In this paper, we study a modified impulsive Lotka-Volterra competition model which involves interactions between two species of plankton having competitive and allelopathic effects on each other. The species grow in a periodically changing environment with instantaneous changes in the population densities.The mathematical model is described by a periodic impulsive differential equations. A monotone-iterative scheme is established for finding the periodic solution of the model, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solution. Some computer simulations are carried out to demonstrate the main results.

机译：在本文中，我们研究了一种改进的脉冲Lotka-Volterra竞争模型，该模型涉及两种浮游生物之间的相互作用，彼此具有竞争和化感作用。该物种在周期性变化的环境中生长，种群密度具有瞬时变化。数学模型由周期脉冲微分方程描述。建立了单调迭代方案来寻找模型的周期解，为至少一个严格正周期解的存在获得了一组易于验证的充分条件。进行了一些计算机模拟以证明主要结果。

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来源
《The World Advances in ELID-Grinding Technologies: Trends on High Efficiency and Essential Processing》|2008年|930-936|共7页
会议地点 Changsha(CN)
作者
Guohua Song; rnZeYu Li;
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作者单位

Guohua Song@Department of Basic Sciences, Beijing University of Civil Engineering and Architecture,Beijing 100044, China--ZeYu Li@Department of Basic Sciences, Beijing University of Civil Engineering and Architecture,Beijing 100044, China--;

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中图分类 TTB30;
关键词
Allelopathy; Impulse differential equations; Monotone-iterative technique; Periodic.;

机译：化感作用;脉冲微分方程单调迭代技术；定期的。;

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专利

1. Periodic solutions for impulsive delay differential equations in the control model of plankton allelopathy [J] . Jia JG, Wang MS, Li ML Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2007,第4期

机译：浮游生物化感作用控制模型中脉冲时滞微分方程的周期解
2. Almost periodic solution of an impulsive differential equation model of plankton allelopathy [J] . He M., Chen F., Li Z. Nonlinear analysis. Real world applications . 2010,第4期

机译：浮游生物化感作用脉冲微分方程模型的概周期解
3. Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy [J] . Liu ZJ, Wu JH, Chen YP, Nonlinear analysis. Real world applications . 2010,第1期

机译：浮游生物化感作用的周期延迟微分方程模型中的脉冲摄动
4. Periodic Solutions for Impulsive Differential Equations Model of Plankton Allelopathy [C] . Yi Wu, Jianyong Cai, Xiao Lin, . 2008

机译：浮游生物化感作用脉冲微分方程模型的周期解
5. Piecewise Stepanov-like Pseudo-Almost Periodic Solutions to Abstract Impulsive Differential Equations [D] . Sy, Demba 2019

机译：抽象脉冲微分方程的分段Stepanov型伪概周期解
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

机译：奇摄动常微分方程时间周期解的渐近界
7. Periodic solutions for delay differential equations model of plankton allelopathy [O] . Zhen Jin, Ma Zhien 2002

机译：浮游生物化感作用的时滞微分方程模型的周期解
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

Periodic Solutions for Impulsive Differential Equations Model of Plankton Allelopathy

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