| 摘要: |
| 本文研究了毒素脉冲输入与脉冲出生切换阶段结构单种群动力学模型.利用常微分方程及差分分析，获得了系统种群灭绝和持久生存的控制条件结果，为污染环境中的生物资源管理提供了可靠的管理策略. |
| 关键词: 环境毒素 脉冲出生 灭绝 持久 |
| DOI： |
| 分类号:O175.13 |
| 基金项目:国家自然科学基金（11761019；11361014）；贵州省高层次创新型人才项目（黔科合人才[2016]4035号）；贵州省科技创新人才团队项目（黔科合平台人才[2017]5658）. |
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| DYNAMICS OF A SWITCHED STAGE-STRUCTURED SINGLE POPULATION MODEL WITH PULSE INPUT TOXIN AND BIRTH PULSE |
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JIAO Jian-jun1, ZENG Xi-xuan1, LI Li-mei2
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1.School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China;2.School of Continuous Education, Guizhou University of Finance and Economics, Guiyang 550025, China
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| Abstract: |
| In this paper, we consider a stage-structured switched single population model with impulsive input toxin and birth pulse. By using ordinary differential equations and difference equations, we obtain the controlling conditions of extinct and permanence, which prove management tactics for biological resource in polluted environment. |
| Key words: environmental toxin birth pulse extinct permanence |
