CAJ | 학술논문

研究一类具有时滞和比率依赖型功能反应函数的食饵-捕食者模型,通过局部和Hopf分支分析考察其动力学特性,分析其对应的特征方程,研究模型的线性稳定性和Hopf分支.同时得到了系统正平衡点稳定的时滞范围,给出数值模拟验证了所得结果的正确性.最后给出主要结论.
연구일류구유시체화비솔의뢰형공능반응함수적식이-포식자모형,통과국부화Hopf분지분석고찰기동역학특성,분석기대응적특정방정,연구모형적선성은정성화Hopf분지.동시득도료계통정평형점은정적시체범위,급출수치모의험증료소득결과적정학성.최후급출주요결론.
In this paper, a delayed predator-prey model with ratio-dependent type functional response was considered.Its dynamics were studied in terms of local analysis and Hopf bifurcation analysis.By analyzing the associated characteristic transcendental equation,its linear stability was investigated and Hopf bifurcation was demonstrated.The length of delay which preserves the stability of the positive equilibrium was calculated. Some numerical simulations for justifying the analytical findings were also provided.Finally,main conclusions were given.