具有时滞和常数收获率种群模型的稳定性  

Stability in a population model with time delay and constant harvesting rate

作　　者：李石涛[1] 许爽爽[1] 

机构地区：[1]沈阳工业大学基础部,辽宁辽阳111000

出　　处：《高师理科学刊》2010年第1期27-29,共3页Journal of Science of Teachers＇College and University

摘　　要：在生态系统中,种群的稳定性一直是研究的重点内容之一,在已有结果的基础上,考虑了一个同时具有时滞和常数收获率的捕食-被捕食模型,通过对特征方程的研究,给出了正平衡点稳定的充分条件.利用Matlab软件给出了种群模型的数值模拟结果,描述出了相平面的相轨线和种群数量随时间变化的曲线,进而更加直观地预测种群的发展趋势.In bioecology, stability of an ecological system is an important direction of mathematical ecology research. Based on the known results, a prey-predator system with delay and constant harvesting rate was investigated. Obtained stability of the positive equilibrium by studying the characteristic equation. Given the numerical simulation results of population model using the Matlab software. The trace of phase space and the change of population with time was given. Moreover, the development of population was intuitively observed.

关 键 词：时滞 常数收获率 种群 稳定性 

分 类 号：O175.2[理学—数学]